From 56eac3189b498a8931a8525f595315b9e706ab8b Mon Sep 17 00:00:00 2001 From: Devin Cowan Date: Thu, 25 Apr 2019 17:44:33 -0700 Subject: [PATCH 01/16] initial changes --- docs/index.rst | 11 +++++++++-- 1 file changed, 9 insertions(+), 2 deletions(-) diff --git a/docs/index.rst b/docs/index.rst index 98fcd5fea..903455a50 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -18,8 +18,6 @@ tutorials/mesh_overview tutorials/tensor_mesh tutorials/cylindrical_mesh - content/finite_volume - content/inner_products .. toctree:: :maxdepth: 2 @@ -27,3 +25,12 @@ :caption: Reference documentation api/index.rst + + +.. toctree:: + :maxdepth: 2 + :hidden: + :caption: Theory + + content/finite_volume + content/inner_products From 4ab07e525e3c8407191387e4c85be792e7cb1d98 Mon Sep 17 00:00:00 2001 From: dccowan Date: Fri, 26 Apr 2019 11:35:25 -0700 Subject: [PATCH 02/16] directory rename --- {examples => demo_examples}/README.txt | 0 demo_examples/laguna_del_maule_slicer.tar.gz | Bin 0 -> 1212497 bytes 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b/demo_examples/plot_dc_resistivity.py similarity index 100% rename from examples/plot_dc_resistivity.py rename to demo_examples/plot_dc_resistivity.py diff --git a/examples/plot_image.py b/demo_examples/plot_image.py similarity index 100% rename from examples/plot_image.py rename to demo_examples/plot_image.py diff --git a/examples/plot_mesh_types.py b/demo_examples/plot_mesh_types.py similarity index 100% rename from examples/plot_mesh_types.py rename to demo_examples/plot_mesh_types.py diff --git a/examples/plot_quadtree_divergence.py b/demo_examples/plot_quadtree_divergence.py similarity index 100% rename from examples/plot_quadtree_divergence.py rename to demo_examples/plot_quadtree_divergence.py diff --git a/examples/plot_quadtree_hanging.py b/demo_examples/plot_quadtree_hanging.py similarity index 100% rename from examples/plot_quadtree_hanging.py rename to demo_examples/plot_quadtree_hanging.py diff --git a/examples/plot_quadtree_refine.py b/demo_examples/plot_quadtree_refine.py similarity index 100% rename from examples/plot_quadtree_refine.py rename to demo_examples/plot_quadtree_refine.py diff --git a/examples/plot_slicer_demo.py b/demo_examples/plot_slicer_demo.py similarity index 100% rename from examples/plot_slicer_demo.py rename to demo_examples/plot_slicer_demo.py diff --git a/examples/plot_streamThickness.py b/demo_examples/plot_streamThickness.py similarity index 100% rename from examples/plot_streamThickness.py rename to demo_examples/plot_streamThickness.py diff --git a/examples/plot_tensors.py b/demo_examples/plot_tensors.py similarity index 100% rename from examples/plot_tensors.py rename to demo_examples/plot_tensors.py diff --git a/docs/conf.py b/docs/conf.py index b1b889438..ccc381be6 100644 --- a/docs/conf.py +++ b/docs/conf.py @@ -310,8 +310,8 @@ # Sphinx Gallery sphinx_gallery_conf = { # path to your examples scripts - 'examples_dirs': ['../examples', '../tutorials'], - 'gallery_dirs': ['gallery', 'tutorials'], + 'examples_dirs': ['../demo_examples', '../tutorial_examples'], + 'gallery_dirs': ['demo_examples', 'tutorials'], 'filename_pattern': '\.py', 'backreferences_dir': 'api/generated/backreferences', 'doc_module': 'discretize', diff --git a/docs/demo_examples/README.txt b/docs/demo_examples/README.txt new file mode 100644 index 000000000..7d4d0aaef --- /dev/null +++ b/docs/demo_examples/README.txt @@ -0,0 +1,2 @@ +Examples +======== \ No newline at end of file diff --git a/docs/demo_examples/demo_examples_jupyter.zip b/docs/demo_examples/demo_examples_jupyter.zip new file mode 100644 index 0000000000000000000000000000000000000000..14b1bc12fea7b16575df9e992c0154c1f7756cd8 GIT binary patch literal 40441 zcmeHw&2J=0b|0;kWqaf`c7S)AAaZO?|uI_Ha7VCU6f6N zDD5`)yS;f(^(XW2N~rEcF%T|CGD5@Zwv?j-U0C?B{%;#q*t@}|)=olH}~=qN8u zqG{YCCI(Hx@W*2}<){MxMEPOhhhE77JklR5+zg4uQH|aBNk4iT7DiUY+_nbhYy0nn zd-Gsd9RdaQ)7bBK!q(DHC+viuMN`#tLp4o2waas7lP)%Go?tX{7j7x#~>0 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diff --git a/docs/demo_examples/images/thumb/sphx_glr_plot_quadtree_hanging_thumb.png b/docs/demo_examples/images/thumb/sphx_glr_plot_quadtree_hanging_thumb.png
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diff --git a/docs/demo_examples/images/thumb/sphx_glr_plot_quadtree_refine_thumb.png b/docs/demo_examples/images/thumb/sphx_glr_plot_quadtree_refine_thumb.png
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diff --git a/docs/demo_examples/images/thumb/sphx_glr_plot_slicer_demo_thumb.png b/docs/demo_examples/images/thumb/sphx_glr_plot_slicer_demo_thumb.png
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literal 0
HcmV?d00001

diff --git a/docs/demo_examples/index.rst b/docs/demo_examples/index.rst
new file mode 100644
index 000000000..3d2fba9d4
--- /dev/null
+++ b/docs/demo_examples/index.rst
@@ -0,0 +1,278 @@
+:orphan:
+
+
+
+.. _sphx_glr_demo_examples:
+
+Examples
+********
+
+
+
+.. raw:: html
+
+    

+
+.. only:: html
+
+    .. figure:: /demo_examples/images/thumb/sphx_glr_plot_3D_cyl_thumb.png
+
+        :ref:`sphx_glr_demo_examples_plot_3D_cyl.py`
+
+.. raw:: html
+
+    

+
+
+.. toctree::
+   :hidden:
+
+   /demo_examples/plot_3D_cyl
+
+.. raw:: html
+
+    

+
+.. only:: html
+
+    .. figure:: /demo_examples/images/thumb/sphx_glr_plot_tensors_thumb.png
+
+        :ref:`sphx_glr_demo_examples_plot_tensors.py`
+
+.. raw:: html
+
+    

+
+
+.. toctree::
+   :hidden:
+
+   /demo_examples/plot_tensors
+
+.. raw:: html
+
+    

+
+.. only:: html
+
+    .. figure:: /demo_examples/images/thumb/sphx_glr_plot_quadtree_refine_thumb.png
+
+        :ref:`sphx_glr_demo_examples_plot_quadtree_refine.py`
+
+.. raw:: html
+
+    

+
+
+.. toctree::
+   :hidden:
+
+   /demo_examples/plot_quadtree_refine
+
+.. raw:: html
+
+    

+
+.. only:: html
+
+    .. figure:: /demo_examples/images/thumb/sphx_glr_plot_quadtree_hanging_thumb.png
+
+        :ref:`sphx_glr_demo_examples_plot_quadtree_hanging.py`
+
+.. raw:: html
+
+    

+
+
+.. toctree::
+   :hidden:
+
+   /demo_examples/plot_quadtree_hanging
+
+.. raw:: html
+
+    

+
+.. only:: html
+
+    .. figure:: /demo_examples/images/thumb/sphx_glr_plot_mesh_types_thumb.png
+
+        :ref:`sphx_glr_demo_examples_plot_mesh_types.py`
+
+.. raw:: html
+
+    

+
+
+.. toctree::
+   :hidden:
+
+   /demo_examples/plot_mesh_types
+
+.. raw:: html
+
+    

+
+.. only:: html
+
+    .. figure:: /demo_examples/images/thumb/sphx_glr_plot_streamThickness_thumb.png
+
+        :ref:`sphx_glr_demo_examples_plot_streamThickness.py`
+
+.. raw:: html
+
+    

+
+
+.. toctree::
+   :hidden:
+
+   /demo_examples/plot_streamThickness
+
+.. raw:: html
+
+    

+
+.. only:: html
+
+    .. figure:: /demo_examples/images/thumb/sphx_glr_plot_image_thumb.png
+
+        :ref:`sphx_glr_demo_examples_plot_image.py`
+
+.. raw:: html
+
+    

+
+
+.. toctree::
+   :hidden:
+
+   /demo_examples/plot_image
+
+.. raw:: html
+
+    

+
+.. only:: html
+
+    .. figure:: /demo_examples/images/thumb/sphx_glr_plot_quadtree_divergence_thumb.png
+
+        :ref:`sphx_glr_demo_examples_plot_quadtree_divergence.py`
+
+.. raw:: html
+
+    

+
+
+.. toctree::
+   :hidden:
+
+   /demo_examples/plot_quadtree_divergence
+
+.. raw:: html
+
+    

+
+.. only:: html
+
+    .. figure:: /demo_examples/images/thumb/sphx_glr_plot_cyl_mirror_thumb.png
+
+        :ref:`sphx_glr_demo_examples_plot_cyl_mirror.py`
+
+.. raw:: html
+
+    

+
+
+.. toctree::
+   :hidden:
+
+   /demo_examples/plot_cyl_mirror
+
+.. raw:: html
+
+    

+
+.. only:: html
+
+    .. figure:: /demo_examples/images/thumb/sphx_glr_plot_dc_resistivity_thumb.png
+
+        :ref:`sphx_glr_demo_examples_plot_dc_resistivity.py`
+
+.. raw:: html
+
+    

+
+
+.. toctree::
+   :hidden:
+
+   /demo_examples/plot_dc_resistivity
+
+.. raw:: html
+
+    

+
+.. only:: html
+
+    .. figure:: /demo_examples/images/thumb/sphx_glr_plot_cahn_hilliard_thumb.png
+
+        :ref:`sphx_glr_demo_examples_plot_cahn_hilliard.py`
+
+.. raw:: html
+
+    

+
+
+.. toctree::
+   :hidden:
+
+   /demo_examples/plot_cahn_hilliard
+
+.. raw:: html
+
+    

+
+.. only:: html
+
+    .. figure:: /demo_examples/images/thumb/sphx_glr_plot_slicer_demo_thumb.png
+
+        :ref:`sphx_glr_demo_examples_plot_slicer_demo.py`
+
+.. raw:: html
+
+    

+
+
+.. toctree::
+   :hidden:
+
+   /demo_examples/plot_slicer_demo
+.. raw:: html
+
+    

+
+
+
+.. only :: html
+
+ .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-gallery
+
+
+  .. container:: sphx-glr-download
+
+    :download:`Download all examples in Python source code: demo_examples_python.zip `
+
+
+
+  .. container:: sphx-glr-download
+
+    :download:`Download all examples in Jupyter notebooks: demo_examples_jupyter.zip `
+
+
+.. only:: html
+
+ .. rst-class:: sphx-glr-signature
+
+    `Gallery generated by Sphinx-Gallery `_
diff --git a/docs/demo_examples/plot_3D_cyl.py b/docs/demo_examples/plot_3D_cyl.py
new file mode 100644
index 000000000..d9b7d7ed7
--- /dev/null
+++ b/docs/demo_examples/plot_3D_cyl.py
@@ -0,0 +1,24 @@
+"""
+Cyl: Plot Grid
+================
+
+You can use :code:`mesh.plotGrid()` to plot a z and theta slice through a
+3D cyl mesh.
+
+If you wish to plot only one slice, you can use
+:code:`mesh.plotGrid(slice='z')` or :code:`mesh.plotGrid(slice='theta')`
+
+"""
+import discretize
+import matplotlib.pyplot as plt
+
+
+def run(plotIt=True):
+    mesh = discretize.CylMesh([7, 6, 10])
+    mesh.plotGrid()
+    # mesh.plotGrid(slice='z')
+    # mesh.plotGrid(slice='theta')
+
+if __name__ == '__main__':
+    run()
+    plt.show()
diff --git a/docs/demo_examples/plot_3D_cyl.py.md5 b/docs/demo_examples/plot_3D_cyl.py.md5
new file mode 100644
index 000000000..e2a4f5013
--- /dev/null
+++ b/docs/demo_examples/plot_3D_cyl.py.md5
@@ -0,0 +1 @@
+e537c6487971da1f09c98da2b98bb670
\ No newline at end of file
diff --git a/docs/demo_examples/plot_3D_cyl.rst b/docs/demo_examples/plot_3D_cyl.rst
new file mode 100644
index 000000000..8bdcdd5de
--- /dev/null
+++ b/docs/demo_examples/plot_3D_cyl.rst
@@ -0,0 +1,74 @@
+.. note::
+    :class: sphx-glr-download-link-note
+
+    Click :ref:`here ` to download the full example code
+.. rst-class:: sphx-glr-example-title
+
+.. _sphx_glr_demo_examples_plot_3D_cyl.py:
+
+
+Cyl: Plot Grid
+================
+
+You can use :code:`mesh.plotGrid()` to plot a z and theta slice through a
+3D cyl mesh.
+
+If you wish to plot only one slice, you can use
+:code:`mesh.plotGrid(slice='z')` or :code:`mesh.plotGrid(slice='theta')`
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_3D_cyl_001.png
+    :class: sphx-glr-single-img
+
+
+
+
+
+.. code-block:: default
+
+    import discretize
+    import matplotlib.pyplot as plt
+
+
+    def run(plotIt=True):
+        mesh = discretize.CylMesh([7, 6, 10])
+        mesh.plotGrid()
+        # mesh.plotGrid(slice='z')
+        # mesh.plotGrid(slice='theta')
+
+    if __name__ == '__main__':
+        run()
+        plt.show()
+
+
+.. rst-class:: sphx-glr-timing
+
+   **Total running time of the script:** ( 0 minutes  0.169 seconds)
+
+
+.. _sphx_glr_download_demo_examples_plot_3D_cyl.py:
+
+
+.. only :: html
+
+ .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-example
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Python source code: plot_3D_cyl.py `
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Jupyter notebook: plot_3D_cyl.ipynb `
+
+
+.. only:: html
+
+ .. rst-class:: sphx-glr-signature
+
+    `Gallery generated by Sphinx-Gallery `_
diff --git a/docs/demo_examples/plot_3D_cyl_codeobj.pickle b/docs/demo_examples/plot_3D_cyl_codeobj.pickle
new file mode 100644
index 0000000000000000000000000000000000000000..35bcbce51d67c8771d04411207343cfa64a716b7
GIT binary patch
literal 196
zcmZo*nYxn!0(!WU^K)`ilS?x5^NOeRaQhdfq!y*7xMU`mOqo1IGiZuN4@W^xiC%F=
ze)*JIAde+4F*kKe4+~hJhb=chr8Eb~7tBp8Dagq$$;nL8E2spqru6VYB;$cfi-24#
wN=kc#QZkE^i&9H6t5WrxD|38Pi!(shWU%$H!?+n7JzNM?Q!= capture[jj]:
+            PHIS += [(elapsed, phi.copy())]
+            jj += 1
+        if ii % 10 == 0:
+            print(ii, elapsed)
+        ii += 1
+
+    if plotIt:
+        fig, axes = plt.subplots(2, 4, figsize=(14, 6))
+        axes = np.array(axes).flatten().tolist()
+        for ii, ax in zip(np.linspace(0, len(PHIS)-1, len(axes)), axes):
+            ii = int(ii)
+            M.plotImage(PHIS[ii][1], ax=ax)
+            ax.axis('off')
+            ax.set_title('Elapsed Time: {0:4.1f}'.format(PHIS[ii][0]))
+
+if __name__ == '__main__':
+    run()
+    plt.show()
diff --git a/docs/demo_examples/plot_cahn_hilliard.py.md5 b/docs/demo_examples/plot_cahn_hilliard.py.md5
new file mode 100644
index 000000000..d1c79f86b
--- /dev/null
+++ b/docs/demo_examples/plot_cahn_hilliard.py.md5
@@ -0,0 +1 @@
+62ff97e6311c5202f47d43f4c4aca96d
\ No newline at end of file
diff --git a/docs/demo_examples/plot_cahn_hilliard.rst b/docs/demo_examples/plot_cahn_hilliard.rst
new file mode 100644
index 000000000..7167d1dfb
--- /dev/null
+++ b/docs/demo_examples/plot_cahn_hilliard.rst
@@ -0,0 +1,189 @@
+.. note::
+    :class: sphx-glr-download-link-note
+
+    Click :ref:`here ` to download the full example code
+.. rst-class:: sphx-glr-example-title
+
+.. _sphx_glr_demo_examples_plot_cahn_hilliard.py:
+
+
+Operators: Cahn Hilliard
+========================
+
+This example is based on the example in the FiPy_ library.
+Please see their documentation for more information about the
+Cahn-Hilliard equation.
+
+The "Cahn-Hilliard" equation separates a field \\( \\phi \\)
+into 0 and 1 with smooth transitions.
+
+.. math::
+
+    \frac{\partial \phi}{\partial t} = \nabla \cdot D \nabla \left( \frac{\partial f}{\partial \phi} - \epsilon^2 \nabla^2 \phi \right)
+
+Where \\( f \\) is the energy function \\( f = ( a^2 / 2 )\\phi^2(1 - \\phi)^2 \\)
+which drives \\( \\phi \\) towards either 0 or 1, this competes with the term
+\\(\\epsilon^2 \\nabla^2 \\phi \\) which is a diffusion term that creates smooth changes in \\( \\phi \\).
+The equation can be factored:
+
+.. math::
+
+    \frac{\partial \phi}{\partial t} = \nabla \cdot D \nabla \psi \\
+    \psi = \frac{\partial^2 f}{\partial \phi^2} (\phi - \phi^{\text{old}}) + \frac{\partial f}{\partial \phi} - \epsilon^2 \nabla^2 \phi
+
+Here we will need the derivatives of \\( f \\):
+
+.. math::
+
+    \frac{\partial f}{\partial \phi} = (a^2/2)2\phi(1-\phi)(1-2\phi)
+    \frac{\partial^2 f}{\partial \phi^2} = (a^2/2)2[1-6\phi(1-\phi)]
+
+The implementation below uses backwards Euler in time with an
+exponentially increasing time step. The initial \\( \\phi \\)
+is a normally distributed field with a standard deviation of 0.1 and
+mean of 0.5. The grid is 60x60 and takes a few seconds to solve ~130
+times. The results are seen below, and you can see the field separating
+as the time increases.
+
+.. _FiPy: https://github.com/usnistgov/fipy
+
+.. http://www.ctcms.nist.gov/fipy/examples/cahnHilliard/generated/examples.cahnHilliard.mesh2DCoupled.html
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_cahn_hilliard_001.png
+    :class: sphx-glr-single-img
+
+
+.. rst-class:: sphx-glr-script-out
+
+ Out:
+
+ .. code-block:: none
+
+    0 0.006737946999085467
+    10 0.09636267449939614
+    20 0.24412886910986079
+    30 0.4877541372545481
+    40 0.8894242989247158
+    50 1.5516664382758794
+    60 2.643519139778099
+    70 4.443679913216204
+    80 7.411643271063606
+    90 12.304987589805194
+    100 20.37274845297408
+    110 33.67423739500265
+    120 55.604685145707705
+
+
+
+
+|
+
+
+.. code-block:: default
+
+    from __future__ import print_function
+    import discretize
+    from pymatsolver import Solver
+    import numpy as np
+    import matplotlib.pyplot as plt
+
+
+    def run(plotIt=True, n=60):
+
+        np.random.seed(5)
+
+        # Here we are going to rearrange the equations:
+
+        # (phi_ - phi)/dt = A*(d2fdphi2*(phi_ - phi) + dfdphi - L*phi_)
+        # (phi_ - phi)/dt = A*(d2fdphi2*phi_ - d2fdphi2*phi + dfdphi - L*phi_)
+        # (phi_ - phi)/dt = A*d2fdphi2*phi_ + A*( - d2fdphi2*phi + dfdphi - L*phi_)
+        # phi_ - phi = dt*A*d2fdphi2*phi_ + dt*A*(- d2fdphi2*phi + dfdphi - L*phi_)
+        # phi_ - dt*A*d2fdphi2 * phi_ =  dt*A*(- d2fdphi2*phi + dfdphi - L*phi_) + phi
+        # (I - dt*A*d2fdphi2) * phi_ =  dt*A*(- d2fdphi2*phi + dfdphi - L*phi_) + phi
+        # (I - dt*A*d2fdphi2) * phi_ =  dt*A*dfdphi - dt*A*d2fdphi2*phi - dt*A*L*phi_ + phi
+        # (dt*A*d2fdphi2 - I) * phi_ =  dt*A*d2fdphi2*phi + dt*A*L*phi_ - phi - dt*A*dfdphi
+        # (dt*A*d2fdphi2 - I - dt*A*L) * phi_ =  (dt*A*d2fdphi2 - I)*phi - dt*A*dfdphi
+
+        h = [(0.25, n)]
+        M = discretize.TensorMesh([h, h])
+
+        # Constants
+        D = a = epsilon = 1.
+        I = discretize.utils.speye(M.nC)
+
+        # Operators
+        A = D * M.faceDiv * M.cellGrad
+        L = epsilon**2 * M.faceDiv * M.cellGrad
+
+        duration = 75
+        elapsed = 0.
+        dexp = -5
+        phi = np.random.normal(loc=0.5, scale=0.01, size=M.nC)
+        ii, jj = 0, 0
+        PHIS = []
+        capture = np.logspace(-1, np.log10(duration), 8)
+        while elapsed < duration:
+            dt = min(100, np.exp(dexp))
+            elapsed += dt
+            dexp += 0.05
+
+            dfdphi = a**2 * 2 * phi * (1 - phi) * (1 - 2 * phi)
+            d2fdphi2 = discretize.utils.sdiag(a**2 * 2 * (1 - 6 * phi * (1 - phi)))
+
+            MAT = (dt*A*d2fdphi2 - I - dt*A*L)
+            rhs = (dt*A*d2fdphi2 - I)*phi - dt*A*dfdphi
+            phi = Solver(MAT)*rhs
+
+            if elapsed > capture[jj]:
+                PHIS += [(elapsed, phi.copy())]
+                jj += 1
+            if ii % 10 == 0:
+                print(ii, elapsed)
+            ii += 1
+
+        if plotIt:
+            fig, axes = plt.subplots(2, 4, figsize=(14, 6))
+            axes = np.array(axes).flatten().tolist()
+            for ii, ax in zip(np.linspace(0, len(PHIS)-1, len(axes)), axes):
+                ii = int(ii)
+                M.plotImage(PHIS[ii][1], ax=ax)
+                ax.axis('off')
+                ax.set_title('Elapsed Time: {0:4.1f}'.format(PHIS[ii][0]))
+
+    if __name__ == '__main__':
+        run()
+        plt.show()
+
+
+.. rst-class:: sphx-glr-timing
+
+   **Total running time of the script:** ( 0 minutes  4.460 seconds)
+
+
+.. _sphx_glr_download_demo_examples_plot_cahn_hilliard.py:
+
+
+.. only :: html
+
+ .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-example
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Python source code: plot_cahn_hilliard.py `
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Jupyter notebook: plot_cahn_hilliard.ipynb `
+
+
+.. only:: html
+
+ .. rst-class:: sphx-glr-signature
+
+    `Gallery generated by Sphinx-Gallery `_
diff --git a/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle b/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle
new file mode 100644
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diff --git a/docs/demo_examples/plot_cyl_mirror.py b/docs/demo_examples/plot_cyl_mirror.py
new file mode 100644
index 000000000..fcb0a785e
--- /dev/null
+++ b/docs/demo_examples/plot_cyl_mirror.py
@@ -0,0 +1,63 @@
+"""
+Plot Mirrored Cylindrically Symmetric Model
+===========================================
+
+Here, we demonstrate plotting a model on a cylindrically
+symmetric mesh with the plotting symmetric about x=0.
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+import discretize
+
+
+def run(plotIt=True):
+
+    sig_halfspace = 1e-6
+    sig_sphere = 1e0
+    sig_air = 1e-8
+
+    sphere_z = -50.
+    sphere_radius = 30.
+
+    # x-direction
+    cs = 1
+    nc = np.ceil(2.5*(- (sphere_z-sphere_radius))/cs)
+
+    # define a mesh
+    mesh = discretize.CylMesh([[(cs, nc)], 1, [(cs, nc)]], x0='00C')
+
+    # Put the model on the mesh
+    sigma = sig_air*np.ones(mesh.nC)  # start with air cells
+    sigma[mesh.gridCC[:, 2] < 0.] = sig_halfspace  # cells below the earth
+
+    # indices of the sphere
+    sphere_ind = (
+        (mesh.gridCC[:, 0]**2 + (mesh.gridCC[:, 2] - sphere_z)**2) <=
+        sphere_radius**2
+    )
+    sigma[sphere_ind] = sig_sphere  # sphere
+
+    if plotIt is False:
+        return
+
+    # Plot a cross section through the mesh
+    fig, ax = plt.subplots(2, 1)
+    # Set a nice colormap!
+    plt.set_cmap(plt.get_cmap('viridis'))
+    plt.colorbar(mesh.plotImage(np.log10(sigma), ax=ax[0])[0], ax=ax[0])
+    ax[0].set_title('mirror = False')
+    ax[0].axis('equal')
+    ax[0].set_xlim([-200., 200.])
+
+    plt.colorbar(
+        mesh.plotImage(np.log10(sigma), ax=ax[1], mirror=True)[0], ax=ax[1]
+    )
+    ax[1].set_title('mirror = True')
+    ax[1].axis('equal')
+    ax[1].set_xlim([-200., 200.])
+
+    plt.tight_layout()
+
+if __name__ == '__main__':
+    run()
+    plt.show()
diff --git a/docs/demo_examples/plot_cyl_mirror.py.md5 b/docs/demo_examples/plot_cyl_mirror.py.md5
new file mode 100644
index 000000000..54a8e7263
--- /dev/null
+++ b/docs/demo_examples/plot_cyl_mirror.py.md5
@@ -0,0 +1 @@
+dc81abdd3c3a0e1904b259ad039ed37a
\ No newline at end of file
diff --git a/docs/demo_examples/plot_cyl_mirror.rst b/docs/demo_examples/plot_cyl_mirror.rst
new file mode 100644
index 000000000..10e56ddec
--- /dev/null
+++ b/docs/demo_examples/plot_cyl_mirror.rst
@@ -0,0 +1,114 @@
+.. note::
+    :class: sphx-glr-download-link-note
+
+    Click :ref:`here ` to download the full example code
+.. rst-class:: sphx-glr-example-title
+
+.. _sphx_glr_demo_examples_plot_cyl_mirror.py:
+
+
+Plot Mirrored Cylindrically Symmetric Model
+===========================================
+
+Here, we demonstrate plotting a model on a cylindrically
+symmetric mesh with the plotting symmetric about x=0.
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_cyl_mirror_001.png
+    :class: sphx-glr-single-img
+
+
+
+
+
+.. code-block:: default
+
+    import numpy as np
+    import matplotlib.pyplot as plt
+    import discretize
+
+
+    def run(plotIt=True):
+
+        sig_halfspace = 1e-6
+        sig_sphere = 1e0
+        sig_air = 1e-8
+
+        sphere_z = -50.
+        sphere_radius = 30.
+
+        # x-direction
+        cs = 1
+        nc = np.ceil(2.5*(- (sphere_z-sphere_radius))/cs)
+
+        # define a mesh
+        mesh = discretize.CylMesh([[(cs, nc)], 1, [(cs, nc)]], x0='00C')
+
+        # Put the model on the mesh
+        sigma = sig_air*np.ones(mesh.nC)  # start with air cells
+        sigma[mesh.gridCC[:, 2] < 0.] = sig_halfspace  # cells below the earth
+
+        # indices of the sphere
+        sphere_ind = (
+            (mesh.gridCC[:, 0]**2 + (mesh.gridCC[:, 2] - sphere_z)**2) <=
+            sphere_radius**2
+        )
+        sigma[sphere_ind] = sig_sphere  # sphere
+
+        if plotIt is False:
+            return
+
+        # Plot a cross section through the mesh
+        fig, ax = plt.subplots(2, 1)
+        # Set a nice colormap!
+        plt.set_cmap(plt.get_cmap('viridis'))
+        plt.colorbar(mesh.plotImage(np.log10(sigma), ax=ax[0])[0], ax=ax[0])
+        ax[0].set_title('mirror = False')
+        ax[0].axis('equal')
+        ax[0].set_xlim([-200., 200.])
+
+        plt.colorbar(
+            mesh.plotImage(np.log10(sigma), ax=ax[1], mirror=True)[0], ax=ax[1]
+        )
+        ax[1].set_title('mirror = True')
+        ax[1].axis('equal')
+        ax[1].set_xlim([-200., 200.])
+
+        plt.tight_layout()
+
+    if __name__ == '__main__':
+        run()
+        plt.show()
+
+
+.. rst-class:: sphx-glr-timing
+
+   **Total running time of the script:** ( 0 minutes  0.222 seconds)
+
+
+.. _sphx_glr_download_demo_examples_plot_cyl_mirror.py:
+
+
+.. only :: html
+
+ .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-example
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Python source code: plot_cyl_mirror.py `
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Jupyter notebook: plot_cyl_mirror.ipynb `
+
+
+.. only:: html
+
+ .. rst-class:: sphx-glr-signature
+
+    `Gallery generated by Sphinx-Gallery `_
diff --git a/docs/demo_examples/plot_cyl_mirror_codeobj.pickle b/docs/demo_examples/plot_cyl_mirror_codeobj.pickle
new file mode 100644
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z=Sy9p5UON-|l9oy4Zs9Um+%@NF_gs)Sv|C&Pr-8HVB8)EkGN@H(xVhDa!o
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diff --git a/docs/demo_examples/plot_dc_resistivity.py b/docs/demo_examples/plot_dc_resistivity.py
new file mode 100644
index 000000000..16e30b31c
--- /dev/null
+++ b/docs/demo_examples/plot_dc_resistivity.py
@@ -0,0 +1,63 @@
+"""
+Basic Forward 2D DC Resistivity
+===============================
+
+2D DC forward modeling example with Tensor and Curvilinear Meshes
+"""
+import discretize
+from pymatsolver import SolverLU
+import numpy as np
+import matplotlib.pyplot as plt
+
+
+def run(plotIt=True):
+
+
+    # Step1: Generate Tensor and Curvilinear Mesh
+    sz = [40, 40]
+    tM = discretize.TensorMesh(sz)
+    rM = discretize.CurvilinearMesh(discretize.utils.exampleLrmGrid(sz, 'rotate'))
+
+    # Step2: Direct Current (DC) operator
+    def DCfun(mesh, pts):
+        D = mesh.faceDiv
+        sigma = 1e-2*np.ones(mesh.nC)
+        MsigI = mesh.getFaceInnerProduct(sigma, invProp=True, invMat=True)
+        A = -D*MsigI*D.T
+        A[-1, -1] /= mesh.vol[-1]  # Remove null space
+        rhs = np.zeros(mesh.nC)
+        txind = discretize.utils.closestPoints(mesh, pts)
+        rhs[txind] = np.r_[1, -1]
+        return A, rhs
+
+    pts = np.vstack((np.r_[0.25, 0.5], np.r_[0.75, 0.5]))
+
+    # Step3: Solve DC problem (LU solver)
+    AtM, rhstM = DCfun(tM, pts)
+    AinvtM = SolverLU(AtM)
+    phitM = AinvtM*rhstM
+
+    ArM, rhsrM = DCfun(rM, pts)
+    AinvrM = SolverLU(ArM)
+    phirM = AinvrM*rhsrM
+
+    if not plotIt:
+        return
+
+    # Step4: Making Figure
+    fig, axes = plt.subplots(1, 2, figsize=(12*1.2, 4*1.2))
+    vmin, vmax = phitM.min(), phitM.max()
+    dat = tM.plotImage(phitM, ax=axes[0], clim=(vmin, vmax), grid=True)
+    dat = rM.plotImage(phirM, ax=axes[1], clim=(vmin, vmax), grid=True)
+    cb0 = plt.colorbar(dat[0], ax=axes[0])
+    cb1 = plt.colorbar(dat[0], ax=axes[1])
+    cb0.set_label("Voltage (V)")
+    cb1.set_label("Voltage (V)")
+
+    axes[0].set_title('TensorMesh')
+    axes[1].set_title('CurvilinearMesh')
+
+
+if __name__ == '__main__':
+    run()
+    plt.show()
diff --git a/docs/demo_examples/plot_dc_resistivity.py.md5 b/docs/demo_examples/plot_dc_resistivity.py.md5
new file mode 100644
index 000000000..5031d5429
--- /dev/null
+++ b/docs/demo_examples/plot_dc_resistivity.py.md5
@@ -0,0 +1 @@
+3a507518d0b7b9752a1edc5c7230df94
\ No newline at end of file
diff --git a/docs/demo_examples/plot_dc_resistivity.rst b/docs/demo_examples/plot_dc_resistivity.rst
new file mode 100644
index 000000000..de599472c
--- /dev/null
+++ b/docs/demo_examples/plot_dc_resistivity.rst
@@ -0,0 +1,114 @@
+.. note::
+    :class: sphx-glr-download-link-note
+
+    Click :ref:`here ` to download the full example code
+.. rst-class:: sphx-glr-example-title
+
+.. _sphx_glr_demo_examples_plot_dc_resistivity.py:
+
+
+Basic Forward 2D DC Resistivity
+===============================
+
+2D DC forward modeling example with Tensor and Curvilinear Meshes
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_dc_resistivity_001.png
+    :class: sphx-glr-single-img
+
+
+
+
+
+.. code-block:: default
+
+    import discretize
+    from pymatsolver import SolverLU
+    import numpy as np
+    import matplotlib.pyplot as plt
+
+
+    def run(plotIt=True):
+
+
+        # Step1: Generate Tensor and Curvilinear Mesh
+        sz = [40, 40]
+        tM = discretize.TensorMesh(sz)
+        rM = discretize.CurvilinearMesh(discretize.utils.exampleLrmGrid(sz, 'rotate'))
+
+        # Step2: Direct Current (DC) operator
+        def DCfun(mesh, pts):
+            D = mesh.faceDiv
+            sigma = 1e-2*np.ones(mesh.nC)
+            MsigI = mesh.getFaceInnerProduct(sigma, invProp=True, invMat=True)
+            A = -D*MsigI*D.T
+            A[-1, -1] /= mesh.vol[-1]  # Remove null space
+            rhs = np.zeros(mesh.nC)
+            txind = discretize.utils.closestPoints(mesh, pts)
+            rhs[txind] = np.r_[1, -1]
+            return A, rhs
+
+        pts = np.vstack((np.r_[0.25, 0.5], np.r_[0.75, 0.5]))
+
+        # Step3: Solve DC problem (LU solver)
+        AtM, rhstM = DCfun(tM, pts)
+        AinvtM = SolverLU(AtM)
+        phitM = AinvtM*rhstM
+
+        ArM, rhsrM = DCfun(rM, pts)
+        AinvrM = SolverLU(ArM)
+        phirM = AinvrM*rhsrM
+
+        if not plotIt:
+            return
+
+        # Step4: Making Figure
+        fig, axes = plt.subplots(1, 2, figsize=(12*1.2, 4*1.2))
+        vmin, vmax = phitM.min(), phitM.max()
+        dat = tM.plotImage(phitM, ax=axes[0], clim=(vmin, vmax), grid=True)
+        dat = rM.plotImage(phirM, ax=axes[1], clim=(vmin, vmax), grid=True)
+        cb0 = plt.colorbar(dat[0], ax=axes[0])
+        cb1 = plt.colorbar(dat[0], ax=axes[1])
+        cb0.set_label("Voltage (V)")
+        cb1.set_label("Voltage (V)")
+
+        axes[0].set_title('TensorMesh')
+        axes[1].set_title('CurvilinearMesh')
+
+
+    if __name__ == '__main__':
+        run()
+        plt.show()
+
+
+.. rst-class:: sphx-glr-timing
+
+   **Total running time of the script:** ( 0 minutes  1.002 seconds)
+
+
+.. _sphx_glr_download_demo_examples_plot_dc_resistivity.py:
+
+
+.. only :: html
+
+ .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-example
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Python source code: plot_dc_resistivity.py `
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Jupyter notebook: plot_dc_resistivity.ipynb `
+
+
+.. only:: html
+
+ .. rst-class:: sphx-glr-signature
+
+    `Gallery generated by Sphinx-Gallery `_
diff --git a/docs/demo_examples/plot_dc_resistivity_codeobj.pickle b/docs/demo_examples/plot_dc_resistivity_codeobj.pickle
new file mode 100644
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diff --git a/docs/demo_examples/plot_image.py b/docs/demo_examples/plot_image.py
new file mode 100644
index 000000000..54351e070
--- /dev/null
+++ b/docs/demo_examples/plot_image.py
@@ -0,0 +1,54 @@
+"""
+Basic: PlotImage
+================
+
+You can use M.PlotImage to plot images on all of the Meshes.
+"""
+import discretize
+import matplotlib.pyplot as plt
+
+
+def run(plotIt=True):
+    M = discretize.TensorMesh([32, 32])
+    v = discretize.utils.random_model(M.vnC, seed=789)
+    v = discretize.utils.mkvc(v)
+
+    O = discretize.TreeMesh([32, 32])
+
+    def function(cell):
+        if (
+            cell.center[0] < 0.75 and cell.center[0] > 0.25 and
+            cell.center[1] < 0.75 and cell.center[1] > 0.25
+        ):
+            return 5
+        if (
+            cell.center[0] < 0.9 and cell.center[0] > 0.1 and
+            cell.center[1] < 0.9 and cell.center[1] > 0.1
+        ):
+            return 4
+        return 3
+    O.refine(function)
+
+    P = M.getInterpolationMat(O.gridCC, 'CC')
+
+    ov = P * v
+
+    if not plotIt:
+        return
+
+    fig, axes = plt.subplots(1, 2, figsize=(10, 5))
+
+    out = M.plotImage(v, grid=True, ax=axes[0])
+    cb = plt.colorbar(out[0], ax=axes[0])
+    cb.set_label("Random Field")
+    axes[0].set_title('TensorMesh')
+
+    out = O.plotImage(ov, grid=True, ax=axes[1], clim=[0, 1])
+    cb = plt.colorbar(out[0], ax=axes[1])
+    cb.set_label("Random Field")
+    axes[1].set_title('TreeMesh')
+
+
+if __name__ == '__main__':
+    run()
+    plt.show()
diff --git a/docs/demo_examples/plot_image.py.md5 b/docs/demo_examples/plot_image.py.md5
new file mode 100644
index 000000000..e84684caa
--- /dev/null
+++ b/docs/demo_examples/plot_image.py.md5
@@ -0,0 +1 @@
+7a3308e6ccb2e45d7ea719eb28dcb8c9
\ No newline at end of file
diff --git a/docs/demo_examples/plot_image.rst b/docs/demo_examples/plot_image.rst
new file mode 100644
index 000000000..478a145a7
--- /dev/null
+++ b/docs/demo_examples/plot_image.rst
@@ -0,0 +1,105 @@
+.. note::
+    :class: sphx-glr-download-link-note
+
+    Click :ref:`here ` to download the full example code
+.. rst-class:: sphx-glr-example-title
+
+.. _sphx_glr_demo_examples_plot_image.py:
+
+
+Basic: PlotImage
+================
+
+You can use M.PlotImage to plot images on all of the Meshes.
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_image_001.png
+    :class: sphx-glr-single-img
+
+
+
+
+
+.. code-block:: default
+
+    import discretize
+    import matplotlib.pyplot as plt
+
+
+    def run(plotIt=True):
+        M = discretize.TensorMesh([32, 32])
+        v = discretize.utils.random_model(M.vnC, seed=789)
+        v = discretize.utils.mkvc(v)
+
+        O = discretize.TreeMesh([32, 32])
+
+        def function(cell):
+            if (
+                cell.center[0] < 0.75 and cell.center[0] > 0.25 and
+                cell.center[1] < 0.75 and cell.center[1] > 0.25
+            ):
+                return 5
+            if (
+                cell.center[0] < 0.9 and cell.center[0] > 0.1 and
+                cell.center[1] < 0.9 and cell.center[1] > 0.1
+            ):
+                return 4
+            return 3
+        O.refine(function)
+
+        P = M.getInterpolationMat(O.gridCC, 'CC')
+
+        ov = P * v
+
+        if not plotIt:
+            return
+
+        fig, axes = plt.subplots(1, 2, figsize=(10, 5))
+
+        out = M.plotImage(v, grid=True, ax=axes[0])
+        cb = plt.colorbar(out[0], ax=axes[0])
+        cb.set_label("Random Field")
+        axes[0].set_title('TensorMesh')
+
+        out = O.plotImage(ov, grid=True, ax=axes[1], clim=[0, 1])
+        cb = plt.colorbar(out[0], ax=axes[1])
+        cb.set_label("Random Field")
+        axes[1].set_title('TreeMesh')
+
+
+    if __name__ == '__main__':
+        run()
+        plt.show()
+
+
+.. rst-class:: sphx-glr-timing
+
+   **Total running time of the script:** ( 0 minutes  0.251 seconds)
+
+
+.. _sphx_glr_download_demo_examples_plot_image.py:
+
+
+.. only :: html
+
+ .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-example
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Python source code: plot_image.py `
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Jupyter notebook: plot_image.ipynb `
+
+
+.. only:: html
+
+ .. rst-class:: sphx-glr-signature
+
+    `Gallery generated by Sphinx-Gallery `_
diff --git a/docs/demo_examples/plot_image_codeobj.pickle b/docs/demo_examples/plot_image_codeobj.pickle
new file mode 100644
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diff --git a/docs/demo_examples/plot_mesh_types.py b/docs/demo_examples/plot_mesh_types.py
new file mode 100644
index 000000000..3e7eb24ac
--- /dev/null
+++ b/docs/demo_examples/plot_mesh_types.py
@@ -0,0 +1,38 @@
+"""
+Mesh Types
+==========
+
+Here we show :code:`discretize` used to create three different types of meshes.
+"""
+import discretize
+import numpy as np
+import matplotlib.pyplot as plt
+
+
+def run(plotIt=True):
+    sz = [16, 16]
+    tM = discretize.TensorMesh(sz)
+    qM = discretize.TreeMesh(sz)
+
+    def refine(cell):
+        if np.sqrt(((np.r_[cell.center]-0.5)**2).sum()) < 0.4:
+            return 4
+        return 3
+
+    qM.refine(refine)
+    rM = discretize.CurvilinearMesh(discretize.utils.exampleLrmGrid(sz, 'rotate'))
+
+    if not plotIt:
+        return
+    fig, axes = plt.subplots(1, 3, figsize=(14, 5))
+    opts = {}
+    tM.plotGrid(ax=axes[0], **opts)
+    axes[0].set_title('TensorMesh')
+    qM.plotGrid(ax=axes[1], **opts)
+    axes[1].set_title('TreeMesh')
+    rM.plotGrid(ax=axes[2], **opts)
+    axes[2].set_title('CurvilinearMesh')
+
+if __name__ == '__main__':
+    run()
+    plt.show()
diff --git a/docs/demo_examples/plot_mesh_types.py.md5 b/docs/demo_examples/plot_mesh_types.py.md5
new file mode 100644
index 000000000..503a117ad
--- /dev/null
+++ b/docs/demo_examples/plot_mesh_types.py.md5
@@ -0,0 +1 @@
+83c6f92bb9192d25b57bd6630c89125d
\ No newline at end of file
diff --git a/docs/demo_examples/plot_mesh_types.rst b/docs/demo_examples/plot_mesh_types.rst
new file mode 100644
index 000000000..e2afa8746
--- /dev/null
+++ b/docs/demo_examples/plot_mesh_types.rst
@@ -0,0 +1,89 @@
+.. note::
+    :class: sphx-glr-download-link-note
+
+    Click :ref:`here ` to download the full example code
+.. rst-class:: sphx-glr-example-title
+
+.. _sphx_glr_demo_examples_plot_mesh_types.py:
+
+
+Mesh Types
+==========
+
+Here we show :code:`discretize` used to create three different types of meshes.
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_mesh_types_001.png
+    :class: sphx-glr-single-img
+
+
+
+
+
+.. code-block:: default
+
+    import discretize
+    import numpy as np
+    import matplotlib.pyplot as plt
+
+
+    def run(plotIt=True):
+        sz = [16, 16]
+        tM = discretize.TensorMesh(sz)
+        qM = discretize.TreeMesh(sz)
+
+        def refine(cell):
+            if np.sqrt(((np.r_[cell.center]-0.5)**2).sum()) < 0.4:
+                return 4
+            return 3
+
+        qM.refine(refine)
+        rM = discretize.CurvilinearMesh(discretize.utils.exampleLrmGrid(sz, 'rotate'))
+
+        if not plotIt:
+            return
+        fig, axes = plt.subplots(1, 3, figsize=(14, 5))
+        opts = {}
+        tM.plotGrid(ax=axes[0], **opts)
+        axes[0].set_title('TensorMesh')
+        qM.plotGrid(ax=axes[1], **opts)
+        axes[1].set_title('TreeMesh')
+        rM.plotGrid(ax=axes[2], **opts)
+        axes[2].set_title('CurvilinearMesh')
+
+    if __name__ == '__main__':
+        run()
+        plt.show()
+
+
+.. rst-class:: sphx-glr-timing
+
+   **Total running time of the script:** ( 0 minutes  0.154 seconds)
+
+
+.. _sphx_glr_download_demo_examples_plot_mesh_types.py:
+
+
+.. only :: html
+
+ .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-example
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Python source code: plot_mesh_types.py `
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Jupyter notebook: plot_mesh_types.ipynb `
+
+
+.. only:: html
+
+ .. rst-class:: sphx-glr-signature
+
+    `Gallery generated by Sphinx-Gallery `_
diff --git a/docs/demo_examples/plot_mesh_types_codeobj.pickle b/docs/demo_examples/plot_mesh_types_codeobj.pickle
new file mode 100644
index 0000000000000000000000000000000000000000..669054281a0fd90e773aa8a37b64c113897311de
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z3gg29bG;5D{1oY|MRkMbMMzOV(qt8$a?q87MLVS6bB+{O&|IzRT~UZ^Rc`CS`VV$D
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HcmV?d00001

diff --git a/docs/demo_examples/plot_quadtree_divergence.py b/docs/demo_examples/plot_quadtree_divergence.py
new file mode 100644
index 000000000..4fe309a27
--- /dev/null
+++ b/docs/demo_examples/plot_quadtree_divergence.py
@@ -0,0 +1,56 @@
+"""
+QuadTree: FaceDiv
+=================
+
+For a tree mesh, there needs to be special attention taken for the hanging
+faces to achieve second order convergence for the divergence operator.
+Although the divergence cannot be constructed through Kronecker product
+operations, the initial steps are exactly the same for calculating the
+stencil, volumes, and areas. This yields a divergence defined for every
+cell in the mesh using all faces. There is, however, redundant information
+when hanging faces are included.
+"""
+import discretize
+import matplotlib.pyplot as plt
+import numpy as np
+
+
+def run(plotIt=True, n=60):
+
+    M = discretize.TreeMesh([[(1, 16)], [(1, 16)]], levels=4)
+    M.insert_cells(np.array([5., 5.]), np.array([3]))
+    M.number()
+
+    if plotIt:
+        fig, axes = plt.subplots(2, 1, figsize=(10, 10))
+
+        M.plotGrid(cells=True, nodes=False, ax=axes[0])
+        axes[0].axis('off')
+        axes[0].set_title('Simple QuadTree Mesh')
+        axes[0].set_xlim([-1, 17])
+        axes[0].set_ylim([-1, 17])
+
+        for ii, loc in zip(range(M.nC), M.gridCC):
+            axes[0].text(loc[0]+0.2, loc[1], '{0:d}'.format(ii), color='r')
+
+        axes[0].plot(M.gridFx[:, 0], M.gridFx[:, 1], 'g>')
+        for ii, loc in zip(range(M.nFx), M.gridFx):
+            axes[0].text(loc[0]+0.2, loc[1], '{0:d}'.format(ii), color='g')
+
+        axes[0].plot(M.gridFy[:, 0], M.gridFy[:, 1], 'm^')
+        for ii, loc in zip(range(M.nFy), M.gridFy):
+            axes[0].text(
+                loc[0]+0.2, loc[1]+0.2, '{0:d}'.format(
+                    (ii+M.nFx)
+                ),
+                color='m'
+            )
+
+        axes[1].spy(M.faceDiv)
+        axes[1].set_title('Face Divergence')
+        axes[1].set_ylabel('Cell Number')
+        axes[1].set_xlabel('Face Number')
+
+if __name__ == '__main__':
+    run()
+    plt.show()
diff --git a/docs/demo_examples/plot_quadtree_divergence.py.md5 b/docs/demo_examples/plot_quadtree_divergence.py.md5
new file mode 100644
index 000000000..c4fb12a18
--- /dev/null
+++ b/docs/demo_examples/plot_quadtree_divergence.py.md5
@@ -0,0 +1 @@
+2ca1e77d98df11992e76ea31e56b99d7
\ No newline at end of file
diff --git a/docs/demo_examples/plot_quadtree_divergence.rst b/docs/demo_examples/plot_quadtree_divergence.rst
new file mode 100644
index 000000000..266e2b777
--- /dev/null
+++ b/docs/demo_examples/plot_quadtree_divergence.rst
@@ -0,0 +1,107 @@
+.. note::
+    :class: sphx-glr-download-link-note
+
+    Click :ref:`here ` to download the full example code
+.. rst-class:: sphx-glr-example-title
+
+.. _sphx_glr_demo_examples_plot_quadtree_divergence.py:
+
+
+QuadTree: FaceDiv
+=================
+
+For a tree mesh, there needs to be special attention taken for the hanging
+faces to achieve second order convergence for the divergence operator.
+Although the divergence cannot be constructed through Kronecker product
+operations, the initial steps are exactly the same for calculating the
+stencil, volumes, and areas. This yields a divergence defined for every
+cell in the mesh using all faces. There is, however, redundant information
+when hanging faces are included.
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_quadtree_divergence_001.png
+    :class: sphx-glr-single-img
+
+
+
+
+
+.. code-block:: default
+
+    import discretize
+    import matplotlib.pyplot as plt
+    import numpy as np
+
+
+    def run(plotIt=True, n=60):
+
+        M = discretize.TreeMesh([[(1, 16)], [(1, 16)]], levels=4)
+        M.insert_cells(np.array([5., 5.]), np.array([3]))
+        M.number()
+
+        if plotIt:
+            fig, axes = plt.subplots(2, 1, figsize=(10, 10))
+
+            M.plotGrid(cells=True, nodes=False, ax=axes[0])
+            axes[0].axis('off')
+            axes[0].set_title('Simple QuadTree Mesh')
+            axes[0].set_xlim([-1, 17])
+            axes[0].set_ylim([-1, 17])
+
+            for ii, loc in zip(range(M.nC), M.gridCC):
+                axes[0].text(loc[0]+0.2, loc[1], '{0:d}'.format(ii), color='r')
+
+            axes[0].plot(M.gridFx[:, 0], M.gridFx[:, 1], 'g>')
+            for ii, loc in zip(range(M.nFx), M.gridFx):
+                axes[0].text(loc[0]+0.2, loc[1], '{0:d}'.format(ii), color='g')
+
+            axes[0].plot(M.gridFy[:, 0], M.gridFy[:, 1], 'm^')
+            for ii, loc in zip(range(M.nFy), M.gridFy):
+                axes[0].text(
+                    loc[0]+0.2, loc[1]+0.2, '{0:d}'.format(
+                        (ii+M.nFx)
+                    ),
+                    color='m'
+                )
+
+            axes[1].spy(M.faceDiv)
+            axes[1].set_title('Face Divergence')
+            axes[1].set_ylabel('Cell Number')
+            axes[1].set_xlabel('Face Number')
+
+    if __name__ == '__main__':
+        run()
+        plt.show()
+
+
+.. rst-class:: sphx-glr-timing
+
+   **Total running time of the script:** ( 0 minutes  0.152 seconds)
+
+
+.. _sphx_glr_download_demo_examples_plot_quadtree_divergence.py:
+
+
+.. only :: html
+
+ .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-example
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Python source code: plot_quadtree_divergence.py `
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Jupyter notebook: plot_quadtree_divergence.ipynb `
+
+
+.. only:: html
+
+ .. rst-class:: sphx-glr-signature
+
+    `Gallery generated by Sphinx-Gallery `_
diff --git a/docs/demo_examples/plot_quadtree_divergence_codeobj.pickle b/docs/demo_examples/plot_quadtree_divergence_codeobj.pickle
new file mode 100644
index 0000000000000000000000000000000000000000..f181dd55424aa1e0d8115921943bb012d88e432e
GIT binary patch
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literal 0
HcmV?d00001

diff --git a/docs/demo_examples/plot_quadtree_hanging.py b/docs/demo_examples/plot_quadtree_hanging.py
new file mode 100644
index 000000000..7bcfd8010
--- /dev/null
+++ b/docs/demo_examples/plot_quadtree_hanging.py
@@ -0,0 +1,41 @@
+"""
+QuadTree: Hanging Nodes
+=======================
+
+You can give the refine method a function, which is evaluated on every
+cell of the TreeMesh.
+
+Occasionally it is useful to initially refine to a constant level
+(e.g. 3 in this 32x32 mesh). This means the function is first evaluated
+on an 8x8 mesh (2^3).
+
+"""
+import discretize
+import matplotlib.pyplot as plt
+
+
+def run(plotIt=True):
+    M = discretize.TreeMesh([8, 8])
+
+    def refine(cell):
+        xyz = cell.center
+        dist = ((xyz - [0.25, 0.25])**2).sum()**0.5
+        if dist < 0.25:
+            return 3
+        return 2
+
+    M.refine(refine)
+    if plotIt:
+        M.plotGrid(nodes=True, cells=True, facesX=True)
+        plt.legend((
+            'Grid',
+            'Cell Centers',
+            'Nodes',
+            'Hanging Nodes',
+            'X faces',
+            'Hanging X faces'
+        ))
+
+if __name__ == '__main__':
+    run()
+    plt.show()
diff --git a/docs/demo_examples/plot_quadtree_hanging.py.md5 b/docs/demo_examples/plot_quadtree_hanging.py.md5
new file mode 100644
index 000000000..4c30460c5
--- /dev/null
+++ b/docs/demo_examples/plot_quadtree_hanging.py.md5
@@ -0,0 +1 @@
+68e202ab270636dc92c4583621c24423
\ No newline at end of file
diff --git a/docs/demo_examples/plot_quadtree_hanging.rst b/docs/demo_examples/plot_quadtree_hanging.rst
new file mode 100644
index 000000000..3e59c0421
--- /dev/null
+++ b/docs/demo_examples/plot_quadtree_hanging.rst
@@ -0,0 +1,91 @@
+.. note::
+    :class: sphx-glr-download-link-note
+
+    Click :ref:`here ` to download the full example code
+.. rst-class:: sphx-glr-example-title
+
+.. _sphx_glr_demo_examples_plot_quadtree_hanging.py:
+
+
+QuadTree: Hanging Nodes
+=======================
+
+You can give the refine method a function, which is evaluated on every
+cell of the TreeMesh.
+
+Occasionally it is useful to initially refine to a constant level
+(e.g. 3 in this 32x32 mesh). This means the function is first evaluated
+on an 8x8 mesh (2^3).
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_quadtree_hanging_001.png
+    :class: sphx-glr-single-img
+
+
+
+
+
+.. code-block:: default
+
+    import discretize
+    import matplotlib.pyplot as plt
+
+
+    def run(plotIt=True):
+        M = discretize.TreeMesh([8, 8])
+
+        def refine(cell):
+            xyz = cell.center
+            dist = ((xyz - [0.25, 0.25])**2).sum()**0.5
+            if dist < 0.25:
+                return 3
+            return 2
+
+        M.refine(refine)
+        if plotIt:
+            M.plotGrid(nodes=True, cells=True, facesX=True)
+            plt.legend((
+                'Grid',
+                'Cell Centers',
+                'Nodes',
+                'Hanging Nodes',
+                'X faces',
+                'Hanging X faces'
+            ))
+
+    if __name__ == '__main__':
+        run()
+        plt.show()
+
+
+.. rst-class:: sphx-glr-timing
+
+   **Total running time of the script:** ( 0 minutes  0.100 seconds)
+
+
+.. _sphx_glr_download_demo_examples_plot_quadtree_hanging.py:
+
+
+.. only :: html
+
+ .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-example
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Python source code: plot_quadtree_hanging.py `
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Jupyter notebook: plot_quadtree_hanging.ipynb `
+
+
+.. only:: html
+
+ .. rst-class:: sphx-glr-signature
+
+    `Gallery generated by Sphinx-Gallery `_
diff --git a/docs/demo_examples/plot_quadtree_hanging_codeobj.pickle b/docs/demo_examples/plot_quadtree_hanging_codeobj.pickle
new file mode 100644
index 0000000000000000000000000000000000000000..c917fccfe06592a9d27517c19ef44ca2b3439ce9
GIT binary patch
literal 270
zcmZvUO$x#=5JnYCDXAOLL+B=_a4UkimzoSFkTxYhh=Sk&X6JZc(^_=XSWYQ`JD2^#SI!mC+<#)KzGW
z4Mv}Nd+RpB`S*BARhMw25|MRs0~csyr&l@V1F2%{L$R?m;!` to download the full example code
+.. rst-class:: sphx-glr-example-title
+
+.. _sphx_glr_demo_examples_plot_quadtree_refine.py:
+
+
+QuadTree: Creation
+==================
+
+You can give the refine method a function, which is evaluated on every
+cell of the TreeMesh.
+
+Occasionally it is useful to initially refine to a constant level
+(e.g. 3 in this 32x32 mesh). This means the function is first evaluated
+on an 8x8 mesh (2^3).
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_quadtree_refine_001.png
+    :class: sphx-glr-single-img
+
+
+
+
+
+.. code-block:: default
+
+    import discretize
+    import numpy as np
+    import matplotlib.pyplot as plt
+
+
+    def run(plotIt=True):
+        M = discretize.TreeMesh([32, 32])
+        M.refine(3)
+
+        def refine(cell):
+            xyz = cell.center
+            for i in range(3):
+                if np.abs(np.sin(xyz[0]*np.pi*2)*0.5 + 0.5 - xyz[1]) < 0.2*i:
+                    return 6-i
+            return 0
+
+        M.refine(refine)
+        if plotIt:
+            M.plotGrid()
+
+    if __name__ == '__main__':
+        run()
+        plt.show()
+
+
+.. rst-class:: sphx-glr-timing
+
+   **Total running time of the script:** ( 0 minutes  0.100 seconds)
+
+
+.. _sphx_glr_download_demo_examples_plot_quadtree_refine.py:
+
+
+.. only :: html
+
+ .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-example
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Python source code: plot_quadtree_refine.py `
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Jupyter notebook: plot_quadtree_refine.ipynb `
+
+
+.. only:: html
+
+ .. rst-class:: sphx-glr-signature
+
+    `Gallery generated by Sphinx-Gallery `_
diff --git a/docs/demo_examples/plot_quadtree_refine_codeobj.pickle b/docs/demo_examples/plot_quadtree_refine_codeobj.pickle
new file mode 100644
index 0000000000000000000000000000000000000000..3f23d8852a3144b2237cdfa482e05613cc81dd3d
GIT binary patch
literal 301
zcmZvV%L>9U5Ji2|QmP>0!i76my2)3#6+zrfZ3hxalaL3ZAou~ZGyboMt%_h)_spER
zxh0Q9xAS^9EG6eqS|)|@INa(AG*oL=T7UPeonK<6xFv?llfMQ^L{Wps*=`_
+
+Using the inversion result from the example notebook
+`plot_laguna_del_maule_inversion.ipynb `_
+
+In the notebook, you have to use :code:`%matplotlib notebook`.
+"""
+
+# %matplotlib notebook
+import shelve
+import discretize
+import numpy as np
+import tarfile
+import matplotlib.pyplot as plt
+from matplotlib.colors import SymLogNorm
+import sys
+
+if sys.version_info[0] < 3:
+    print("This example only runs on Python 3")
+    sys.exit(0)
+
+###############################################################################
+# Download and load data
+# ----------------------
+#
+# In the following we load the :code:`mesh` and :code:`Lpout` that you would
+# get from running the laguna-del-maule inversion notebook.
+
+f = discretize.utils.download(
+    "https://storage.googleapis.com/simpeg/laguna_del_maule_slicer.tar.gz"
+)
+tar = tarfile.open(f, "r")
+tar.extractall()
+tar.close()
+
+with shelve.open('./laguna_del_maule_slicer/laguna_del_maule-result') as db:
+    mesh = db['mesh']
+    Lpout = db['Lpout']
+
+###############################################################################
+# Case 1: Using the intrinsinc functionality
+# ------------------------------------------
+#
+# 1.1 Default options
+# ^^^^^^^^^^^^^^^^^^^
+
+mesh.plot_3d_slicer(Lpout)
+
+###############################################################################
+# 1.2 Create a function to improve plots, labeling after creation
+# ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+#
+# Depending on your data the default option might look a bit odd. The look
+# of the figure can be improved by getting its handle and adjust it.
+
+def beautify(title, fig=None):
+    """Beautify the 3D Slicer result."""
+
+    # Get figure handle if not provided
+    if fig is None:
+        fig = plt.gcf()
+
+    # Get principal figure axes
+    axs = fig.get_children()
+
+    # Set figure title
+    fig.suptitle(title, y=.95, va='center')
+
+    # Adjust the y-labels on the first subplot (XY)
+    plt.setp(axs[1].yaxis.get_majorticklabels(), rotation=90)
+    for label in axs[1].yaxis.get_ticklabels():
+        label.set_visible(False)
+    for label in axs[1].yaxis.get_ticklabels()[::3]:
+        label.set_visible(True)
+    axs[1].set_ylabel('Northing (m)')
+
+    # Adjust x- and y-labels on the second subplot (XZ)
+    axs[2].set_xticks([357500, 362500, 367500])
+    axs[2].set_xlabel('Easting (m)')
+
+    plt.setp(axs[2].yaxis.get_majorticklabels(), rotation=90)
+    axs[2].set_yticks([2500, 0, -2500, -5000])
+    axs[2].set_yticklabels(['$2.5$', '0.0', '-2.5', '-5.0'])
+    axs[2].set_ylabel('Elevation (km)')
+
+    # Adjust x-labels on the third subplot (ZY)
+    axs[3].set_xticks([2500, 0, -2500, -5000])
+    axs[3].set_xticklabels(['', '0.0', '-2.5', '-5.0'])
+
+    # Adjust colorbar
+    axs[4].set_ylabel('Density (g/cc$^3$)')
+
+    # Ensure sufficient margins so nothing is clipped
+    plt.subplots_adjust(bottom=0.1, top=0.9, left=0.1, right=0.9)
+
+
+###############################################################################
+#
+mesh.plot_3d_slicer(Lpout)
+beautify('mesh.plot_3d_slicer(Lpout)')
+
+###############################################################################
+# 1.3 Set `xslice`, `yslice`, and `zslice`; transparent region
+# ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+#
+# The 2nd-4th input arguments are the initial x-, y-, and z-slice location
+# (they default to the middle of the volume). The transparency-parameter can
+# be used to define transparent regions.
+
+mesh.plot_3d_slicer(Lpout, 370000, 6002500, -2500, transparent=[[-0.02, 0.1]])
+beautify(
+    'mesh.plot_3d_slicer('
+    '\nLpout, 370000, 6002500, -2500, transparent=[[-0.02, 0.1]])'
+)
+
+###############################################################################
+# 1.4 Set `clim`, use `pcolorOpts` to show grid lines
+# ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+mesh.plot_3d_slicer(
+    Lpout, clim=[-0.4, 0.2], pcolorOpts={'edgecolor': 'k', 'linewidth': 0.1}
+)
+beautify(
+    "mesh.plot_3d_slicer(\nLpout, clim=[-0.4, 0.2], "
+    "pcolorOpts={'edgecolor': 'k', 'linewidth': 0.1})"
+)
+
+###############################################################################
+# 1.5 Use `pcolorOpts` to set `SymLogNorm`, and another `cmap`
+# ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+mesh.plot_3d_slicer(
+    Lpout, pcolorOpts={'norm': SymLogNorm(linthresh=0.01),'cmap': 'RdBu_r'}
+)
+beautify(
+    "mesh.plot_3d_slicer(Lpout,"
+    "\npcolorOpts={'norm': SymLogNorm(linthresh=0.01),'cmap': 'RdBu_r'})`"
+)
+
+###############################################################################
+# 1.6 Use :code:`aspect` and :code:`grid`
+# ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+#
+# By default, :code:`aspect='auto'` and :code:`grid=[2, 2, 1]`. This means that
+# the figure is on a 3x3 grid, where the `xy`-slice occupies 2x2 cells of the
+# subplot-grid, `xz`-slice 2x1, and the `zy`-silce 1x2. So the
+# :code:`grid=[x, y, z]`-parameter takes the number of cells for `x`, `y`, and
+# `z`-dimension.
+#
+# :code:`grid` can be used to improve the probable weired subplot-arrangement
+# if :code:`aspect` is anything else than :code:`auto`. However, if you zoom
+# then it won't help. Expect the unexpected.
+
+mesh.plot_3d_slicer(Lpout, aspect=['equal', 1.5], grid=[4, 4, 3])
+beautify("mesh.plot_3d_slicer(Lpout, aspect=['equal', 1.5], grid=[4, 4, 3])")
+
+###############################################################################
+# 1.7 Transparency-slider
+# ^^^^^^^^^^^^^^^^^^^^^^^
+#
+# Setting the transparent-parameter to 'slider' will create interactive sliders
+# to change which range of values of the data is visible.
+
+mesh.plot_3d_slicer(Lpout, transparent='slider')
+beautify("mesh.plot_3d_slicer(Lpout, transparent='slider')")
+
+
+###############################################################################
+# Case 2: Just using the Slicer class
+# ------------------------------------------
+#
+# This way you get the figure-handle, and can do further stuff with the figure.
+
+# You have to initialize a figure
+fig = plt.figure()
+
+# Then you have to get the tracker from the Slicer
+tracker = discretize.View.Slicer(mesh, Lpout)
+
+# Finally you have to connect the tracker to the figure
+fig.canvas.mpl_connect('scroll_event', tracker.onscroll)
+
+# Run it through beautify
+beautify(
+    "'discretize.View.Slicer' together with\n'fig.canvas.mpl_connect'", fig
+)
+
+plt.show()
+
diff --git a/docs/demo_examples/plot_slicer_demo.py.md5 b/docs/demo_examples/plot_slicer_demo.py.md5
new file mode 100644
index 000000000..e3bc4ceb8
--- /dev/null
+++ b/docs/demo_examples/plot_slicer_demo.py.md5
@@ -0,0 +1 @@
+4d9108adb9bfd3a6cdfce842faeac0f3
\ No newline at end of file
diff --git a/docs/demo_examples/plot_slicer_demo.rst b/docs/demo_examples/plot_slicer_demo.rst
new file mode 100644
index 000000000..b62d5ffb8
--- /dev/null
+++ b/docs/demo_examples/plot_slicer_demo.rst
@@ -0,0 +1,364 @@
+.. note::
+    :class: sphx-glr-download-link-note
+
+    Click :ref:`here ` to download the full example code
+.. rst-class:: sphx-glr-example-title
+
+.. _sphx_glr_demo_examples_plot_slicer_demo.py:
+
+
+Slicer demo
+===========
+
+The example demonstrates the `plot_3d_slicer`
+
+- contributed by `@prisae `_
+
+Using the inversion result from the example notebook
+`plot_laguna_del_maule_inversion.ipynb `_
+
+In the notebook, you have to use :code:`%matplotlib notebook`.
+
+.. code-block:: default
+
+
+    # %matplotlib notebook
+    import shelve
+    import discretize
+    import numpy as np
+    import tarfile
+    import matplotlib.pyplot as plt
+    from matplotlib.colors import SymLogNorm
+    import sys
+
+    if sys.version_info[0] < 3:
+        print("This example only runs on Python 3")
+        sys.exit(0)
+
+
+
+
+
+
+
+Download and load data
+----------------------
+
+In the following we load the :code:`mesh` and :code:`Lpout` that you would
+get from running the laguna-del-maule inversion notebook.
+
+
+.. code-block:: default
+
+
+    f = discretize.utils.download(
+        "https://storage.googleapis.com/simpeg/laguna_del_maule_slicer.tar.gz"
+    )
+    tar = tarfile.open(f, "r")
+    tar.extractall()
+    tar.close()
+
+    with shelve.open('./laguna_del_maule_slicer/laguna_del_maule-result') as db:
+        mesh = db['mesh']
+        Lpout = db['Lpout']
+
+
+
+
+
+.. rst-class:: sphx-glr-script-out
+
+ Out:
+
+ .. code-block:: none
+
+    Downloading https://storage.googleapis.com/simpeg/laguna_del_maule_slicer.tar.gz
+       saved to: D:\Documents\Repositories\discretize\demo_examples\laguna_del_maule_slicer.tar.gz
+    Download completed!
+
+
+Case 1: Using the intrinsinc functionality
+------------------------------------------
+
+1.1 Default options
+^^^^^^^^^^^^^^^^^^^
+
+
+.. code-block:: default
+
+
+    mesh.plot_3d_slicer(Lpout)
+
+
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_slicer_demo_001.png
+    :class: sphx-glr-single-img
+
+
+
+
+1.2 Create a function to improve plots, labeling after creation
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+Depending on your data the default option might look a bit odd. The look
+of the figure can be improved by getting its handle and adjust it.
+
+
+.. code-block:: default
+
+
+    def beautify(title, fig=None):
+        """Beautify the 3D Slicer result."""
+
+        # Get figure handle if not provided
+        if fig is None:
+            fig = plt.gcf()
+
+        # Get principal figure axes
+        axs = fig.get_children()
+
+        # Set figure title
+        fig.suptitle(title, y=.95, va='center')
+
+        # Adjust the y-labels on the first subplot (XY)
+        plt.setp(axs[1].yaxis.get_majorticklabels(), rotation=90)
+        for label in axs[1].yaxis.get_ticklabels():
+            label.set_visible(False)
+        for label in axs[1].yaxis.get_ticklabels()[::3]:
+            label.set_visible(True)
+        axs[1].set_ylabel('Northing (m)')
+
+        # Adjust x- and y-labels on the second subplot (XZ)
+        axs[2].set_xticks([357500, 362500, 367500])
+        axs[2].set_xlabel('Easting (m)')
+
+        plt.setp(axs[2].yaxis.get_majorticklabels(), rotation=90)
+        axs[2].set_yticks([2500, 0, -2500, -5000])
+        axs[2].set_yticklabels(['$2.5$', '0.0', '-2.5', '-5.0'])
+        axs[2].set_ylabel('Elevation (km)')
+
+        # Adjust x-labels on the third subplot (ZY)
+        axs[3].set_xticks([2500, 0, -2500, -5000])
+        axs[3].set_xticklabels(['', '0.0', '-2.5', '-5.0'])
+
+        # Adjust colorbar
+        axs[4].set_ylabel('Density (g/cc$^3$)')
+
+        # Ensure sufficient margins so nothing is clipped
+        plt.subplots_adjust(bottom=0.1, top=0.9, left=0.1, right=0.9)
+
+
+
+
+
+
+
+
+
+.. code-block:: default
+
+    mesh.plot_3d_slicer(Lpout)
+    beautify('mesh.plot_3d_slicer(Lpout)')
+
+
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_slicer_demo_002.png
+    :class: sphx-glr-single-img
+
+
+
+
+1.3 Set `xslice`, `yslice`, and `zslice`; transparent region
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+The 2nd-4th input arguments are the initial x-, y-, and z-slice location
+(they default to the middle of the volume). The transparency-parameter can
+be used to define transparent regions.
+
+
+.. code-block:: default
+
+
+    mesh.plot_3d_slicer(Lpout, 370000, 6002500, -2500, transparent=[[-0.02, 0.1]])
+    beautify(
+        'mesh.plot_3d_slicer('
+        '\nLpout, 370000, 6002500, -2500, transparent=[[-0.02, 0.1]])'
+    )
+
+
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_slicer_demo_003.png
+    :class: sphx-glr-single-img
+
+
+
+
+1.4 Set `clim`, use `pcolorOpts` to show grid lines
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+
+.. code-block:: default
+
+
+    mesh.plot_3d_slicer(
+        Lpout, clim=[-0.4, 0.2], pcolorOpts={'edgecolor': 'k', 'linewidth': 0.1}
+    )
+    beautify(
+        "mesh.plot_3d_slicer(\nLpout, clim=[-0.4, 0.2], "
+        "pcolorOpts={'edgecolor': 'k', 'linewidth': 0.1})"
+    )
+
+
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_slicer_demo_004.png
+    :class: sphx-glr-single-img
+
+
+
+
+1.5 Use `pcolorOpts` to set `SymLogNorm`, and another `cmap`
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+
+.. code-block:: default
+
+
+    mesh.plot_3d_slicer(
+        Lpout, pcolorOpts={'norm': SymLogNorm(linthresh=0.01),'cmap': 'RdBu_r'}
+    )
+    beautify(
+        "mesh.plot_3d_slicer(Lpout,"
+        "\npcolorOpts={'norm': SymLogNorm(linthresh=0.01),'cmap': 'RdBu_r'})`"
+    )
+
+
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_slicer_demo_005.png
+    :class: sphx-glr-single-img
+
+
+
+
+1.6 Use :code:`aspect` and :code:`grid`
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+
+By default, :code:`aspect='auto'` and :code:`grid=[2, 2, 1]`. This means that
+the figure is on a 3x3 grid, where the `xy`-slice occupies 2x2 cells of the
+subplot-grid, `xz`-slice 2x1, and the `zy`-silce 1x2. So the
+:code:`grid=[x, y, z]`-parameter takes the number of cells for `x`, `y`, and
+`z`-dimension.
+
+:code:`grid` can be used to improve the probable weired subplot-arrangement
+if :code:`aspect` is anything else than :code:`auto`. However, if you zoom
+then it won't help. Expect the unexpected.
+
+
+.. code-block:: default
+
+
+    mesh.plot_3d_slicer(Lpout, aspect=['equal', 1.5], grid=[4, 4, 3])
+    beautify("mesh.plot_3d_slicer(Lpout, aspect=['equal', 1.5], grid=[4, 4, 3])")
+
+
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_slicer_demo_006.png
+    :class: sphx-glr-single-img
+
+
+
+
+1.7 Transparency-slider
+^^^^^^^^^^^^^^^^^^^^^^^
+
+Setting the transparent-parameter to 'slider' will create interactive sliders
+to change which range of values of the data is visible.
+
+
+.. code-block:: default
+
+
+    mesh.plot_3d_slicer(Lpout, transparent='slider')
+    beautify("mesh.plot_3d_slicer(Lpout, transparent='slider')")
+
+
+
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_slicer_demo_007.png
+    :class: sphx-glr-single-img
+
+
+
+
+Case 2: Just using the Slicer class
+------------------------------------------
+
+This way you get the figure-handle, and can do further stuff with the figure.
+
+
+.. code-block:: default
+
+
+    # You have to initialize a figure
+    fig = plt.figure()
+
+    # Then you have to get the tracker from the Slicer
+    tracker = discretize.View.Slicer(mesh, Lpout)
+
+    # Finally you have to connect the tracker to the figure
+    fig.canvas.mpl_connect('scroll_event', tracker.onscroll)
+
+    # Run it through beautify
+    beautify(
+        "'discretize.View.Slicer' together with\n'fig.canvas.mpl_connect'", fig
+    )
+
+    plt.show()
+
+
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_slicer_demo_008.png
+    :class: sphx-glr-single-img
+
+
+
+
+
+.. rst-class:: sphx-glr-timing
+
+   **Total running time of the script:** ( 0 minutes  3.176 seconds)
+
+
+.. _sphx_glr_download_demo_examples_plot_slicer_demo.py:
+
+
+.. only :: html
+
+ .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-example
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Python source code: plot_slicer_demo.py `
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Jupyter notebook: plot_slicer_demo.ipynb `
+
+
+.. only:: html
+
+ .. rst-class:: sphx-glr-signature
+
+    `Gallery generated by Sphinx-Gallery `_
diff --git a/docs/demo_examples/plot_slicer_demo_codeobj.pickle b/docs/demo_examples/plot_slicer_demo_codeobj.pickle
new file mode 100644
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diff --git a/docs/demo_examples/plot_streamThickness.py b/docs/demo_examples/plot_streamThickness.py
new file mode 100644
index 000000000..4b8ebc69f
--- /dev/null
+++ b/docs/demo_examples/plot_streamThickness.py
@@ -0,0 +1,85 @@
+"""
+Plotting: Streamline thickness
+==============================
+
+A simple example to vary streamline thickness based on the vector amplitudes
+
+Author: `@micmitch `
+"""
+import numpy as np
+import matplotlib.pyplot as plt
+
+from discretize import TensorMesh
+
+###############################################################################
+# Create mesh
+# -----------
+#
+# Minimum cell size in each direction
+dx = 1.
+dy = 1.
+dz = 1.
+
+# Number of core cells in each direction
+nCoreX = 43.
+nCoreY = 43.
+nCoreZ = 43.
+
+# Cell widths
+hx = [(dx,nCoreX)]
+hy = [(dy,nCoreY)]
+hz = [(dz,nCoreZ)]
+
+# Desired Core mesh origin (Bottom SW corner)
+x0 = -21.5
+y0 = -21.5
+z0 = -21.5
+
+mesh = TensorMesh([hx, hy, hz],[x0,y0,z0])
+print(mesh.nC)
+
+###############################################################################
+# Define arbitrary function to plot
+# ---------------------------------
+#
+
+X = mesh.gridCC[:,0]
+Y = mesh.gridCC[:,1]
+Z = mesh.gridCC[:,2]
+
+U = -1 - X**2 + Y + Z
+V = 1 + X - Y**2 + Z
+W = 1 + X + Y - Z**2
+
+###############################################################################
+# Plot streamlines
+# ----------------
+#
+# Create figure
+fig = plt.figure()
+ax = plt.subplot(111)
+fig.set_figheight(15)
+fig.set_figwidth(15)
+labelsize = 30.
+ticksize = 30.
+
+# Create data vector
+dataVec = np.hstack([U,V,W])
+print(dataVec.shape)
+
+# Set streamline plotting options
+streamOpts = {'color':'w', 'density':2.0}
+pcolorOpts = {"cmap":"viridis"}
+
+dat = mesh.plotSlice(
+    dataVec, ax=ax, normal='Z', ind=5, vType='CCv', view='vec',
+    streamOpts=streamOpts, gridOpts={"color":"k", "alpha":0.1}, grid=True,
+    clim=None, stream_thickness=3
+)
+
+###############################################################################
+# Moving Forward
+# --------------
+#
+# If you have suggestions for improving this example, please create a
+# pull request on the example in discretize
diff --git a/docs/demo_examples/plot_streamThickness.py.md5 b/docs/demo_examples/plot_streamThickness.py.md5
new file mode 100644
index 000000000..21dea1cd8
--- /dev/null
+++ b/docs/demo_examples/plot_streamThickness.py.md5
@@ -0,0 +1 @@
+2c0edaf406bf3e3a2c4824332627fa34
\ No newline at end of file
diff --git a/docs/demo_examples/plot_streamThickness.rst b/docs/demo_examples/plot_streamThickness.rst
new file mode 100644
index 000000000..4850c9611
--- /dev/null
+++ b/docs/demo_examples/plot_streamThickness.rst
@@ -0,0 +1,177 @@
+.. note::
+    :class: sphx-glr-download-link-note
+
+    Click :ref:`here ` to download the full example code
+.. rst-class:: sphx-glr-example-title
+
+.. _sphx_glr_demo_examples_plot_streamThickness.py:
+
+
+Plotting: Streamline thickness
+==============================
+
+A simple example to vary streamline thickness based on the vector amplitudes
+
+Author: `@micmitch `
+
+.. code-block:: default
+
+    import numpy as np
+    import matplotlib.pyplot as plt
+
+    from discretize import TensorMesh
+
+
+
+
+
+
+
+Create mesh
+-----------
+
+Minimum cell size in each direction
+
+
+.. code-block:: default
+
+    dx = 1.
+    dy = 1.
+    dz = 1.
+
+    # Number of core cells in each direction
+    nCoreX = 43.
+    nCoreY = 43.
+    nCoreZ = 43.
+
+    # Cell widths
+    hx = [(dx,nCoreX)]
+    hy = [(dy,nCoreY)]
+    hz = [(dz,nCoreZ)]
+
+    # Desired Core mesh origin (Bottom SW corner)
+    x0 = -21.5
+    y0 = -21.5
+    z0 = -21.5
+
+    mesh = TensorMesh([hx, hy, hz],[x0,y0,z0])
+    print(mesh.nC)
+
+
+
+
+
+.. rst-class:: sphx-glr-script-out
+
+ Out:
+
+ .. code-block:: none
+
+    79507
+
+
+Define arbitrary function to plot
+---------------------------------
+
+
+
+.. code-block:: default
+
+
+    X = mesh.gridCC[:,0]
+    Y = mesh.gridCC[:,1]
+    Z = mesh.gridCC[:,2]
+
+    U = -1 - X**2 + Y + Z
+    V = 1 + X - Y**2 + Z
+    W = 1 + X + Y - Z**2
+
+
+
+
+
+
+
+Plot streamlines
+----------------
+
+Create figure
+
+
+.. code-block:: default
+
+    fig = plt.figure()
+    ax = plt.subplot(111)
+    fig.set_figheight(15)
+    fig.set_figwidth(15)
+    labelsize = 30.
+    ticksize = 30.
+
+    # Create data vector
+    dataVec = np.hstack([U,V,W])
+    print(dataVec.shape)
+
+    # Set streamline plotting options
+    streamOpts = {'color':'w', 'density':2.0}
+    pcolorOpts = {"cmap":"viridis"}
+
+    dat = mesh.plotSlice(
+        dataVec, ax=ax, normal='Z', ind=5, vType='CCv', view='vec',
+        streamOpts=streamOpts, gridOpts={"color":"k", "alpha":0.1}, grid=True,
+        clim=None, stream_thickness=3
+    )
+
+
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_streamThickness_001.png
+    :class: sphx-glr-single-img
+
+
+.. rst-class:: sphx-glr-script-out
+
+ Out:
+
+ .. code-block:: none
+
+    (238521,)
+
+
+Moving Forward
+--------------
+
+If you have suggestions for improving this example, please create a
+pull request on the example in discretize
+
+
+.. rst-class:: sphx-glr-timing
+
+   **Total running time of the script:** ( 0 minutes  1.079 seconds)
+
+
+.. _sphx_glr_download_demo_examples_plot_streamThickness.py:
+
+
+.. only :: html
+
+ .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-example
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Python source code: plot_streamThickness.py `
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Jupyter notebook: plot_streamThickness.ipynb `
+
+
+.. only:: html
+
+ .. rst-class:: sphx-glr-signature
+
+    `Gallery generated by Sphinx-Gallery `_
diff --git a/docs/demo_examples/plot_streamThickness_codeobj.pickle b/docs/demo_examples/plot_streamThickness_codeobj.pickle
new file mode 100644
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diff --git a/docs/demo_examples/plot_tensors.py b/docs/demo_examples/plot_tensors.py
new file mode 100644
index 000000000..c8a8ea405
--- /dev/null
+++ b/docs/demo_examples/plot_tensors.py
@@ -0,0 +1,36 @@
+"""
+Tensor: Creation
+================
+
+For tensor meshes, there are some functions that can come
+in handy. For example, creating mesh tensors can be a bit time
+consuming, these can be created speedily by just giving numbers
+and sizes of padding. See the example below, that follows this
+notation::
+
+    h1 = (
+           (cellSize, numPad, [, increaseFactor]),
+           (cellSize, numCore),
+           (cellSize, numPad, [, increaseFactor])
+         )
+
+.. note::
+
+    You can center your mesh by passing a 'C' for the x0[i] position.
+    A 'N' will make the entire mesh negative, and a '0' (or a 0) will
+    make the mesh start at zero.
+
+"""
+import discretize
+import matplotlib.pyplot as plt
+
+
+def run(plotIt=True):
+    h1 = [(10, 5, -1.3), (5, 20), (10, 3, 1.3)]
+    M = discretize.TensorMesh([h1, h1], x0='CN')
+    if plotIt:
+        M.plotGrid()
+
+if __name__ == '__main__':
+    run()
+    plt.show()
diff --git a/docs/demo_examples/plot_tensors.py.md5 b/docs/demo_examples/plot_tensors.py.md5
new file mode 100644
index 000000000..f0706d1ba
--- /dev/null
+++ b/docs/demo_examples/plot_tensors.py.md5
@@ -0,0 +1 @@
+aff434f9a1e8a42d37662c41a32a9409
\ No newline at end of file
diff --git a/docs/demo_examples/plot_tensors.rst b/docs/demo_examples/plot_tensors.rst
new file mode 100644
index 000000000..b48aaad07
--- /dev/null
+++ b/docs/demo_examples/plot_tensors.rst
@@ -0,0 +1,86 @@
+.. note::
+    :class: sphx-glr-download-link-note
+
+    Click :ref:`here ` to download the full example code
+.. rst-class:: sphx-glr-example-title
+
+.. _sphx_glr_demo_examples_plot_tensors.py:
+
+
+Tensor: Creation
+================
+
+For tensor meshes, there are some functions that can come
+in handy. For example, creating mesh tensors can be a bit time
+consuming, these can be created speedily by just giving numbers
+and sizes of padding. See the example below, that follows this
+notation::
+
+    h1 = (
+           (cellSize, numPad, [, increaseFactor]),
+           (cellSize, numCore),
+           (cellSize, numPad, [, increaseFactor])
+         )
+
+.. note::
+
+    You can center your mesh by passing a 'C' for the x0[i] position.
+    A 'N' will make the entire mesh negative, and a '0' (or a 0) will
+    make the mesh start at zero.
+
+
+.. image:: /demo_examples/images/sphx_glr_plot_tensors_001.png
+    :class: sphx-glr-single-img
+
+
+
+
+
+.. code-block:: default
+
+    import discretize
+    import matplotlib.pyplot as plt
+
+
+    def run(plotIt=True):
+        h1 = [(10, 5, -1.3), (5, 20), (10, 3, 1.3)]
+        M = discretize.TensorMesh([h1, h1], x0='CN')
+        if plotIt:
+            M.plotGrid()
+
+    if __name__ == '__main__':
+        run()
+        plt.show()
+
+
+.. rst-class:: sphx-glr-timing
+
+   **Total running time of the script:** ( 0 minutes  0.078 seconds)
+
+
+.. _sphx_glr_download_demo_examples_plot_tensors.py:
+
+
+.. only :: html
+
+ .. container:: sphx-glr-footer
+    :class: sphx-glr-footer-example
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Python source code: plot_tensors.py `
+
+
+
+  .. container:: sphx-glr-download
+
+     :download:`Download Jupyter notebook: plot_tensors.ipynb `
+
+
+.. only:: html
+
+ .. rst-class:: sphx-glr-signature
+
+    `Gallery generated by Sphinx-Gallery `_
diff --git a/docs/demo_examples/plot_tensors_codeobj.pickle b/docs/demo_examples/plot_tensors_codeobj.pickle
new file mode 100644
index 0000000000000000000000000000000000000000..b1d8ceed654d3a184e1934c08e50a05800fadaa2
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diff --git a/docs/demo_examples/sg_execution_times.rst b/docs/demo_examples/sg_execution_times.rst
new file mode 100644
index 000000000..d177b3295
--- /dev/null
+++ b/docs/demo_examples/sg_execution_times.rst
@@ -0,0 +1,21 @@
+
+:orphan:
+
+.. _sphx_glr_demo_examples_sg_execution_times:
+
+Computation times
+=================
+**00:10.944** total execution time for **demo_examples** files:
+
+- **00:04.460**: :ref:`sphx_glr_demo_examples_plot_cahn_hilliard.py` (``plot_cahn_hilliard.py``)
+- **00:03.176**: :ref:`sphx_glr_demo_examples_plot_slicer_demo.py` (``plot_slicer_demo.py``)
+- **00:01.079**: :ref:`sphx_glr_demo_examples_plot_streamThickness.py` (``plot_streamThickness.py``)
+- **00:01.002**: :ref:`sphx_glr_demo_examples_plot_dc_resistivity.py` (``plot_dc_resistivity.py``)
+- **00:00.251**: :ref:`sphx_glr_demo_examples_plot_image.py` (``plot_image.py``)
+- **00:00.222**: :ref:`sphx_glr_demo_examples_plot_cyl_mirror.py` (``plot_cyl_mirror.py``)
+- **00:00.169**: :ref:`sphx_glr_demo_examples_plot_3D_cyl.py` (``plot_3D_cyl.py``)
+- **00:00.154**: :ref:`sphx_glr_demo_examples_plot_mesh_types.py` (``plot_mesh_types.py``)
+- **00:00.152**: :ref:`sphx_glr_demo_examples_plot_quadtree_divergence.py` (``plot_quadtree_divergence.py``)
+- **00:00.100**: :ref:`sphx_glr_demo_examples_plot_quadtree_hanging.py` (``plot_quadtree_hanging.py``)
+- **00:00.100**: :ref:`sphx_glr_demo_examples_plot_quadtree_refine.py` (``plot_quadtree_refine.py``)
+- **00:00.078**: :ref:`sphx_glr_demo_examples_plot_tensors.py` (``plot_tensors.py``)
diff --git a/docs/index.rst b/docs/index.rst
index 903455a50..102ec14a7 100644
--- a/docs/index.rst
+++ b/docs/index.rst
@@ -7,13 +7,13 @@
 
     content/big_picture
     content/installing
-    gallery/index
+    demo_examples/index
     content/additional_resources
 
 .. toctree::
     :maxdepth: 2
     :hidden:
-    :caption: User Guide
+    :caption: Tutorials
 
     tutorials/mesh_overview
     tutorials/tensor_mesh
diff --git a/tutorials/README.txt b/tutorial_examples/README.txt
similarity index 100%
rename from tutorials/README.txt
rename to tutorial_examples/README.txt
diff --git a/tutorials/cylindrical_mesh.py b/tutorial_examples/cylindrical_mesh.py
similarity index 100%
rename from tutorials/cylindrical_mesh.py
rename to tutorial_examples/cylindrical_mesh.py
diff --git a/tutorials/mesh_overview.py b/tutorial_examples/mesh_overview.py
similarity index 100%
rename from tutorials/mesh_overview.py
rename to tutorial_examples/mesh_overview.py
diff --git a/tutorials/tensor_mesh.py b/tutorial_examples/tensor_mesh.py
similarity index 100%
rename from tutorials/tensor_mesh.py
rename to tutorial_examples/tensor_mesh.py

From 803569eb01aee450f1d2093a8837e660621e315a Mon Sep 17 00:00:00 2001
From: dccowan 
Date: Fri, 26 Apr 2019 14:54:29 -0700
Subject: [PATCH 03/16] more organizing

---
 .../vtki_demo.py                              |      0
 demo_examples/Chile_GRAV_4_Miller.tar.gz      |    Bin 0 -> 1769741 bytes
 .../Chile_GRAV_4_Miller/LdM_grav_obs.grv      |    192 +
 .../Chile_GRAV_4_Miller/LdM_input_file.inp    |     11 +
 .../Chile_GRAV_4_Miller/LdM_mesh.mesh         |      5 +
 .../Chile_GRAV_4_Miller/LdM_topo.topo         | 381925 +++++++++++++++
 docs/conf.py                                  |      4 +-
 docs/demo_examples/README.txt                 |      2 -
 docs/demo_examples/demo_examples_jupyter.zip  |    Bin 40441 -> 40441 bytes
 docs/demo_examples/demo_examples_python.zip   |    Bin 25246 -> 25246 bytes
 docs/demo_examples/plot_3D_cyl.rst            |      2 +-
 docs/demo_examples/plot_cahn_hilliard.rst     |      2 +-
 .../plot_cahn_hilliard_codeobj.pickle         |    Bin 819 -> 819 bytes
 docs/demo_examples/plot_cyl_mirror.rst        |      2 +-
 .../plot_cyl_mirror_codeobj.pickle            |    Bin 697 -> 697 bytes
 docs/demo_examples/plot_dc_resistivity.rst    |      2 +-
 .../plot_dc_resistivity_codeobj.pickle        |    Bin 820 -> 820 bytes
 docs/demo_examples/plot_image.rst             |      2 +-
 docs/demo_examples/plot_image_codeobj.pickle  |    Bin 586 -> 586 bytes
 docs/demo_examples/plot_mesh_types.rst        |      2 +-
 .../plot_mesh_types_codeobj.pickle            |    Bin 577 -> 577 bytes
 .../plot_quadtree_divergence.rst              |      2 +-
 .../plot_quadtree_divergence_codeobj.pickle   |    Bin 313 -> 313 bytes
 docs/demo_examples/plot_quadtree_hanging.rst  |      2 +-
 .../plot_quadtree_hanging_codeobj.pickle      |    Bin 270 -> 270 bytes
 docs/demo_examples/plot_quadtree_refine.rst   |      2 +-
 .../plot_quadtree_refine_codeobj.pickle       |    Bin 301 -> 301 bytes
 docs/demo_examples/plot_slicer_demo.rst       |      3 +-
 .../plot_slicer_demo_codeobj.pickle           |    Bin 853 -> 853 bytes
 docs/demo_examples/plot_streamThickness.rst   |      2 +-
 .../plot_streamThickness_codeobj.pickle       |    Bin 310 -> 310 bytes
 docs/demo_examples/plot_tensors.rst           |      2 +-
 .../demo_examples/plot_tensors_codeobj.pickle |    Bin 202 -> 202 bytes
 docs/demo_examples/sg_execution_times.rst     |     26 +-
 docs/index.rst                                |      4 +-
 tutorial_examples/README.txt                  |      4 -
 tutorial_examples/mesh_generation/README.txt  |     17 +
 .../{ => mesh_generation}/cylindrical_mesh.py |      0
 .../mesh_generation/old/cylindrical_mesh.py   |      9 +
 .../old}/mesh_overview.py                     |      0
 .../{ => mesh_generation/old}/tensor_mesh.py  |      0
 .../mesh_generation/tensor_mesh.py            |     96 +
 .../mesh_generation/tree_mesh.py              |      7 +
 43 files changed, 382291 insertions(+), 36 deletions(-)
 rename {docs/examples => additional_examples}/vtki_demo.py (100%)
 create mode 100644 demo_examples/Chile_GRAV_4_Miller.tar.gz
 create mode 100644 demo_examples/Chile_GRAV_4_Miller/LdM_grav_obs.grv
 create mode 100644 demo_examples/Chile_GRAV_4_Miller/LdM_input_file.inp
 create mode 100644 demo_examples/Chile_GRAV_4_Miller/LdM_mesh.mesh
 create mode 100644 demo_examples/Chile_GRAV_4_Miller/LdM_topo.topo
 delete mode 100644 docs/demo_examples/README.txt
 delete mode 100644 tutorial_examples/README.txt
 create mode 100644 tutorial_examples/mesh_generation/README.txt
 rename tutorial_examples/{ => mesh_generation}/cylindrical_mesh.py (100%)
 create mode 100644 tutorial_examples/mesh_generation/old/cylindrical_mesh.py
 rename tutorial_examples/{ => mesh_generation/old}/mesh_overview.py (100%)
 rename tutorial_examples/{ => mesh_generation/old}/tensor_mesh.py (100%)
 create mode 100644 tutorial_examples/mesh_generation/tensor_mesh.py
 create mode 100644 tutorial_examples/mesh_generation/tree_mesh.py

diff --git a/docs/examples/vtki_demo.py b/additional_examples/vtki_demo.py
similarity index 100%
rename from docs/examples/vtki_demo.py
rename to additional_examples/vtki_demo.py
diff --git a/demo_examples/Chile_GRAV_4_Miller.tar.gz b/demo_examples/Chile_GRAV_4_Miller.tar.gz
new file mode 100644
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diff --git a/demo_examples/Chile_GRAV_4_Miller/LdM_grav_obs.grv b/demo_examples/Chile_GRAV_4_Miller/LdM_grav_obs.grv
new file mode 100644
index 000000000..d04a6ab12
--- /dev/null
+++ b/demo_examples/Chile_GRAV_4_Miller/LdM_grav_obs.grv
@@ -0,0 +1,192 @@
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diff --git a/demo_examples/Chile_GRAV_4_Miller/LdM_input_file.inp b/demo_examples/Chile_GRAV_4_Miller/LdM_input_file.inp
new file mode 100644
index 000000000..0fafed66c
--- /dev/null
+++ b/demo_examples/Chile_GRAV_4_Miller/LdM_input_file.inp
@@ -0,0 +1,11 @@
+FILE LdM_mesh.mesh					! Mesh file
+FILE LdM_grav_obs.grv			! Obsfile
+TOPO LdM_topo.topo					! TOPO Topofilename !or! FILE Activecellfilename. ! 0 = air, inactive, 1 = dynamic, -1 = static.
+VALUE 1E-4			! Starting model | VALUE 1E-4
+VALUE 0.0			! Reference model
+DEFAULT				! Cell based weight file
+VALUE 1				! target chi factor | DEFAULT=1
+VALUE 1 1 1 1			! alpha s, x ,y ,z
+VALUE -0.6 0.3		! Lower and Upper Bounds for p-component in g/cc
+VALUE 0 1 1 1 2		! lp-norm for amplitude inversion FILE pqxqyqzr.dat  ! Norms VALUE p, qx, qy, qz, r | FILE m-by-5 matrix
+DEFAULT		! Threshold value for the norm on model and model gradient VALUE eps_p, eps_q | DEFAULT
\ No newline at end of file
diff --git a/demo_examples/Chile_GRAV_4_Miller/LdM_mesh.mesh b/demo_examples/Chile_GRAV_4_Miller/LdM_mesh.mesh
new file mode 100644
index 000000000..6d6cf5ec5
--- /dev/null
+++ b/demo_examples/Chile_GRAV_4_Miller/LdM_mesh.mesh
@@ -0,0 +1,5 @@
+69 69 40
+355000 5999000 3000
+69*250
+69*250
+5*100 5*120 5*145 5*175 5*210 5*250 5*300 5*350
\ No newline at end of file
diff --git a/demo_examples/Chile_GRAV_4_Miller/LdM_topo.topo b/demo_examples/Chile_GRAV_4_Miller/LdM_topo.topo
new file mode 100644
index 000000000..910559252
--- /dev/null
+++ b/demo_examples/Chile_GRAV_4_Miller/LdM_topo.topo
@@ -0,0 +1,381925 @@
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\ No newline at end of file
diff --git a/docs/conf.py b/docs/conf.py
index ccc381be6..219731d94 100644
--- a/docs/conf.py
+++ b/docs/conf.py
@@ -310,8 +310,8 @@
 # Sphinx Gallery
 sphinx_gallery_conf = {
     # path to your examples scripts
-    'examples_dirs': ['../demo_examples', '../tutorial_examples'],
-    'gallery_dirs': ['demo_examples', 'tutorials'],
+    'examples_dirs': ['../demo_examples', '../tutorial_examples/mesh_generation'],
+    'gallery_dirs': ['demo_examples', 'tutorials/mesh_generation'],
     'filename_pattern': '\.py',
     'backreferences_dir': 'api/generated/backreferences',
     'doc_module': 'discretize',
diff --git a/docs/demo_examples/README.txt b/docs/demo_examples/README.txt
deleted file mode 100644
index 7d4d0aaef..000000000
--- a/docs/demo_examples/README.txt
+++ /dev/null
@@ -1,2 +0,0 @@
-Examples
-========
\ No newline at end of file
diff --git a/docs/demo_examples/demo_examples_jupyter.zip b/docs/demo_examples/demo_examples_jupyter.zip
index 14b1bc12fea7b16575df9e992c0154c1f7756cd8..c3ee802db6a8b21764b0d8fe53cd7c2471547381 100644
GIT binary patch
delta 195
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delta 136
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diff --git a/docs/demo_examples/plot_cyl_mirror.rst b/docs/demo_examples/plot_cyl_mirror.rst
index 10e56ddec..539230a20 100644
--- a/docs/demo_examples/plot_cyl_mirror.rst
+++ b/docs/demo_examples/plot_cyl_mirror.rst
@@ -83,7 +83,7 @@ symmetric mesh with the plotting symmetric about x=0.
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  0.222 seconds)
+   **Total running time of the script:** ( 0 minutes  0.255 seconds)
 
 
 .. _sphx_glr_download_demo_examples_plot_cyl_mirror.py:
diff --git a/docs/demo_examples/plot_cyl_mirror_codeobj.pickle b/docs/demo_examples/plot_cyl_mirror_codeobj.pickle
index 8036d69613c2eccd37d9e96ccb8ef75bbc063d47..c7b5414bb6627957d2a3c8829abffe6474f531a6 100644
GIT binary patch
delta 170
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delta 160
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diff --git a/docs/demo_examples/plot_image.rst b/docs/demo_examples/plot_image.rst
index 478a145a7..f37d3c5a7 100644
--- a/docs/demo_examples/plot_image.rst
+++ b/docs/demo_examples/plot_image.rst
@@ -74,7 +74,7 @@ You can use M.PlotImage to plot images on all of the Meshes.
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  0.251 seconds)
+   **Total running time of the script:** ( 0 minutes  0.265 seconds)
 
 
 .. _sphx_glr_download_demo_examples_plot_image.py:
diff --git a/docs/demo_examples/plot_image_codeobj.pickle b/docs/demo_examples/plot_image_codeobj.pickle
index 771e1ab565def52b61c914214a9709e345f3808c..b536792eb82e2882fdef19e1a1c12501d5083edc 100644
GIT binary patch
delta 126
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delta 117
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diff --git a/docs/demo_examples/plot_mesh_types.rst b/docs/demo_examples/plot_mesh_types.rst
index e2afa8746..708d6e948 100644
--- a/docs/demo_examples/plot_mesh_types.rst
+++ b/docs/demo_examples/plot_mesh_types.rst
@@ -58,7 +58,7 @@ Here we show :code:`discretize` used to create three different types of meshes.
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  0.154 seconds)
+   **Total running time of the script:** ( 0 minutes  0.163 seconds)
 
 
 .. _sphx_glr_download_demo_examples_plot_mesh_types.py:
diff --git a/docs/demo_examples/plot_mesh_types_codeobj.pickle b/docs/demo_examples/plot_mesh_types_codeobj.pickle
index 669054281a0fd90e773aa8a37b64c113897311de..6d932e73abbeb97fa7cef83f1a95a9a1ba758cb4 100644
GIT binary patch
delta 148
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delta 84
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diff --git a/docs/demo_examples/plot_quadtree_hanging.rst b/docs/demo_examples/plot_quadtree_hanging.rst
index 3e59c0421..cb998d206 100644
--- a/docs/demo_examples/plot_quadtree_hanging.rst
+++ b/docs/demo_examples/plot_quadtree_hanging.rst
@@ -60,7 +60,7 @@ on an 8x8 mesh (2^3).
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  0.100 seconds)
+   **Total running time of the script:** ( 0 minutes  0.101 seconds)
 
 
 .. _sphx_glr_download_demo_examples_plot_quadtree_hanging.py:
diff --git a/docs/demo_examples/plot_quadtree_hanging_codeobj.pickle b/docs/demo_examples/plot_quadtree_hanging_codeobj.pickle
index c917fccfe06592a9d27517c19ef44ca2b3439ce9..ac5374808cbd32f77f5be6c392f88692943e671f 100644
GIT binary patch
delta 143
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delta 107
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delta 161
zcmZ3>w3cato;ycDPKjP|Mt=E}+9?`6EP08!sZ)AbzydvNx%nxjIY7Q(ZemG6PJT&F
zW|Ce(C5SbphX*1V4^&!IGG*dtGbR4g9@e}9y@E`TQ5kGKOh8r!2T-gux1e%L23Lmg
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diff --git a/docs/demo_examples/plot_slicer_demo.rst b/docs/demo_examples/plot_slicer_demo.rst
index b62d5ffb8..dcbead38d 100644
--- a/docs/demo_examples/plot_slicer_demo.rst
+++ b/docs/demo_examples/plot_slicer_demo.rst
@@ -72,6 +72,7 @@ get from running the laguna-del-maule inversion notebook.
 
  .. code-block:: none
 
+    file already exists, new file is called D:\Documents\Repositories\discretize\demo_examples\laguna_del_maule_slicer.tar.gz
     Downloading https://storage.googleapis.com/simpeg/laguna_del_maule_slicer.tar.gz
        saved to: D:\Documents\Repositories\discretize\demo_examples\laguna_del_maule_slicer.tar.gz
     Download completed!
@@ -333,7 +334,7 @@ This way you get the figure-handle, and can do further stuff with the figure.
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  3.176 seconds)
+   **Total running time of the script:** ( 0 minutes  3.525 seconds)
 
 
 .. _sphx_glr_download_demo_examples_plot_slicer_demo.py:
diff --git a/docs/demo_examples/plot_slicer_demo_codeobj.pickle b/docs/demo_examples/plot_slicer_demo_codeobj.pickle
index 7369146677379ce53d402fd79d1d16af59a133d2..e7ba8f8a69f1201c881f3e65509ac40cf685b164 100644
GIT binary patch
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delta 150
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diff --git a/docs/demo_examples/plot_streamThickness.rst b/docs/demo_examples/plot_streamThickness.rst
index 4850c9611..22b3e76ac 100644
--- a/docs/demo_examples/plot_streamThickness.rst
+++ b/docs/demo_examples/plot_streamThickness.rst
@@ -146,7 +146,7 @@ pull request on the example in discretize
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  1.079 seconds)
+   **Total running time of the script:** ( 0 minutes  1.081 seconds)
 
 
 .. _sphx_glr_download_demo_examples_plot_streamThickness.py:
diff --git a/docs/demo_examples/plot_streamThickness_codeobj.pickle b/docs/demo_examples/plot_streamThickness_codeobj.pickle
index 17d5a8cebfdf30172c324e4d5539eba6fa490fdf..07c40df912101aa3941fd8fa828fb9bc26254ac1 100644
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zW|Ce(C5SbphX*1V4^&zN
Date: Fri, 26 Apr 2019 21:37:49 -0700
Subject: [PATCH 04/16] More organizing

---
 docs/demo_examples/plot_3D_cyl_codeobj.pickle | Bin 196 -> 196 bytes
 .../plot_cahn_hilliard_codeobj.pickle         | Bin 819 -> 819 bytes
 .../plot_cyl_mirror_codeobj.pickle            | Bin 697 -> 697 bytes
 .../plot_dc_resistivity_codeobj.pickle        | Bin 820 -> 820 bytes
 docs/demo_examples/plot_image_codeobj.pickle  | Bin 586 -> 586 bytes
 .../plot_mesh_types_codeobj.pickle            | Bin 577 -> 577 bytes
 .../plot_quadtree_divergence_codeobj.pickle   | Bin 313 -> 313 bytes
 .../plot_quadtree_hanging_codeobj.pickle      | Bin 270 -> 270 bytes
 .../plot_quadtree_refine_codeobj.pickle       | Bin 301 -> 301 bytes
 .../plot_slicer_demo_codeobj.pickle           | Bin 853 -> 853 bytes
 .../plot_streamThickness_codeobj.pickle       | Bin 310 -> 310 bytes
 .../mesh_generation/old/cylindrical_mesh.py   |   9 -----
 .../mesh_generation/tensor_mesh.py            |  32 ++++++++++++++++--
 13 files changed, 29 insertions(+), 12 deletions(-)
 delete mode 100644 tutorial_examples/mesh_generation/old/cylindrical_mesh.py

diff --git a/docs/demo_examples/plot_3D_cyl_codeobj.pickle b/docs/demo_examples/plot_3D_cyl_codeobj.pickle
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diff --git a/tutorial_examples/mesh_generation/old/cylindrical_mesh.py b/tutorial_examples/mesh_generation/old/cylindrical_mesh.py
deleted file mode 100644
index 3c7ba15af..000000000
--- a/tutorial_examples/mesh_generation/old/cylindrical_mesh.py
+++ /dev/null
@@ -1,9 +0,0 @@
-"""
-Cylindrical meshes
-==================
-
-Cylindrical meshes are variation on the tensor mesh. The are still defined by
-a vector in each dimension, but those dimensions are now in cylindrical,
-rather than cartesian coordinates.
-
-"""
diff --git a/tutorial_examples/mesh_generation/tensor_mesh.py b/tutorial_examples/mesh_generation/tensor_mesh.py
index c6abd7401..08bf1e497 100644
--- a/tutorial_examples/mesh_generation/tensor_mesh.py
+++ b/tutorial_examples/mesh_generation/tensor_mesh.py
@@ -1,14 +1,40 @@
 """
 Tensor meshes
-=============
+*************
+
+Tensor meshes are the most basic class of meshes that can be created with
+discretize. They belong to the class (:class:`~discretize.TensorMesh`).
+Tensor meshes can be defined in 1, 2 or 3 dimensions. Here we demonstrate:
+
+	- How to create basic tensor meshes
+	- How to include padding cells
+	- How to plot tensor meshes
+	- How to extract properties from meshes
 
-Tensor meshes (:class:`~discretize.TensorMesh`) are defined by a vectors of
-cell widths in each dimension. They can be defined in 1, 2, or 3 dimensions.
 """
 
+###############################################################################
+# Import Packages
+# ===============
+# 
+# Here we import the packages required for this tutorial.
+
 import numpy as np
 import discretize
 
+###############################################################################
+# B Meshes
+# ====================
+# 
+# 
+
+
+
+
+
+
+
+
 ###############################################################################
 # In the simplest case, you can instantiate a tensor mesh by providing the
 # number of cells in each dimension. This assumes that the extent of each

From 42c73f74a7230b3da3a3864e878f726a36ce5764 Mon Sep 17 00:00:00 2001
From: dccowan 
Date: Mon, 29 Apr 2019 20:04:28 -0700
Subject: [PATCH 05/16] More changes

---
 docs/demo_examples/demo_examples_python.zip   | Bin 25246 -> 25246 bytes
 docs/demo_examples/plot_3D_cyl_codeobj.pickle | Bin 196 -> 196 bytes
 .../plot_cahn_hilliard_codeobj.pickle         | Bin 819 -> 819 bytes
 .../plot_cyl_mirror_codeobj.pickle            | Bin 697 -> 697 bytes
 .../plot_dc_resistivity_codeobj.pickle        | Bin 820 -> 820 bytes
 docs/demo_examples/plot_image_codeobj.pickle  | Bin 586 -> 586 bytes
 .../plot_mesh_types_codeobj.pickle            | Bin 577 -> 577 bytes
 .../plot_quadtree_divergence_codeobj.pickle   | Bin 313 -> 313 bytes
 .../plot_quadtree_hanging_codeobj.pickle      | Bin 270 -> 270 bytes
 .../plot_quadtree_refine_codeobj.pickle       | Bin 301 -> 301 bytes
 .../plot_slicer_demo_codeobj.pickle           | Bin 853 -> 853 bytes
 .../plot_streamThickness_codeobj.pickle       | Bin 310 -> 310 bytes
 12 files changed, 0 insertions(+), 0 deletions(-)

diff --git a/docs/demo_examples/demo_examples_python.zip b/docs/demo_examples/demo_examples_python.zip
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diff --git a/docs/demo_examples/plot_quadtree_hanging_codeobj.pickle b/docs/demo_examples/plot_quadtree_hanging_codeobj.pickle
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diff --git a/docs/demo_examples/plot_slicer_demo_codeobj.pickle b/docs/demo_examples/plot_slicer_demo_codeobj.pickle
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A!T
Date: Mon, 29 Apr 2019 21:41:18 -0700
Subject: [PATCH 06/16] More edits

---
 docs/demo_examples/plot_3D_cyl_codeobj.pickle | Bin 196 -> 196 bytes
 .../plot_cahn_hilliard_codeobj.pickle         | Bin 819 -> 819 bytes
 .../plot_cyl_mirror_codeobj.pickle            | Bin 697 -> 697 bytes
 .../plot_dc_resistivity_codeobj.pickle        | Bin 820 -> 820 bytes
 docs/demo_examples/plot_image_codeobj.pickle  | Bin 586 -> 586 bytes
 .../plot_mesh_types_codeobj.pickle            | Bin 577 -> 577 bytes
 .../plot_quadtree_divergence_codeobj.pickle   | Bin 313 -> 313 bytes
 .../plot_quadtree_hanging_codeobj.pickle      | Bin 270 -> 270 bytes
 .../plot_quadtree_refine_codeobj.pickle       | Bin 301 -> 301 bytes
 .../plot_slicer_demo_codeobj.pickle           | Bin 853 -> 853 bytes
 .../plot_streamThickness_codeobj.pickle       | Bin 310 -> 310 bytes
 .../mesh_generation/tensor_mesh.py            | 190 ++++++++-------
 .../mesh_generation/tree_mesh.py              | 221 +++++++++++++++++-
 .../mesh_overview_old.py}                     |   0
 .../tensor_mesh.py => old/tensor_mesh_old.py} |   0
 15 files changed, 329 insertions(+), 82 deletions(-)
 rename tutorial_examples/{mesh_generation/old/mesh_overview.py => old/mesh_overview_old.py} (100%)
 rename tutorial_examples/{mesh_generation/old/tensor_mesh.py => old/tensor_mesh_old.py} (100%)

diff --git a/docs/demo_examples/plot_3D_cyl_codeobj.pickle b/docs/demo_examples/plot_3D_cyl_codeobj.pickle
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diff --git a/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle b/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle
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diff --git a/docs/demo_examples/plot_mesh_types_codeobj.pickle b/docs/demo_examples/plot_mesh_types_codeobj.pickle
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diff --git a/docs/demo_examples/plot_quadtree_divergence_codeobj.pickle b/docs/demo_examples/plot_quadtree_divergence_codeobj.pickle
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diff --git a/docs/demo_examples/plot_quadtree_hanging_codeobj.pickle b/docs/demo_examples/plot_quadtree_hanging_codeobj.pickle
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diff --git a/docs/demo_examples/plot_quadtree_refine_codeobj.pickle b/docs/demo_examples/plot_quadtree_refine_codeobj.pickle
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diff --git a/docs/demo_examples/plot_slicer_demo_codeobj.pickle b/docs/demo_examples/plot_slicer_demo_codeobj.pickle
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diff --git a/docs/demo_examples/plot_streamThickness_codeobj.pickle b/docs/demo_examples/plot_streamThickness_codeobj.pickle
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diff --git a/tutorial_examples/mesh_generation/tensor_mesh.py b/tutorial_examples/mesh_generation/tensor_mesh.py
index 08bf1e497..5bad70453 100644
--- a/tutorial_examples/mesh_generation/tensor_mesh.py
+++ b/tutorial_examples/mesh_generation/tensor_mesh.py
@@ -1,122 +1,152 @@
 """
 Tensor meshes
-*************
+=============
 
 Tensor meshes are the most basic class of meshes that can be created with
 discretize. They belong to the class (:class:`~discretize.TensorMesh`).
 Tensor meshes can be defined in 1, 2 or 3 dimensions. Here we demonstrate:
 
-	- How to create basic tensor meshes
-	- How to include padding cells
-	- How to plot tensor meshes
-	- How to extract properties from meshes
+    - How to create basic tensor meshes
+    - How to include padding cells
+    - How to plot tensor meshes
+    - How to extract properties from meshes
 
 """
 
-###############################################################################
+###############################################
 # Import Packages
-# ===============
+# ---------------
 # 
 # Here we import the packages required for this tutorial.
+#
 
+from discretize import TensorMesh
 import numpy as np
-import discretize
-
-###############################################################################
-# B Meshes
-# ====================
-# 
-# 
-
 
+###############################################
+# Basic Example
+# -------------
+#
+# The easiest way to define a tensor mesh is to define the cell widths in
+# x, y and z as 1D numpy arrays. And to provide the position of the bottom
+# southwest corner of the mesh. We demonstrate this here for a 2D mesh (thus
+# we do not need to consider the z-dimension).
 
+ncx = 10     # number of core mesh cells in x
+ncy = 15     # number of core mesh cells in y
+dx = 15      # base cell width x
+dy = 10      # base cell width y
+hx = dx*np.ones(ncx)
+hy = dy*np.ones(ncy)
 
+x0 = 0
+y0 = -150
 
+mesh = TensorMesh([hx, hy],x0=[x0, y0])
 
+mesh.plotGrid()
 
 
-###############################################################################
-# In the simplest case, you can instantiate a tensor mesh by providing the
-# number of cells in each dimension. This assumes that the extent of each
-# dimension is unity.
+###############################################
+# Padding Cells
+# -------------
+# 
+# For practical purposes, the user may want to define a region where the cell
+# widths are increasing/decreasing in size. For example, padding is often used
+# to define a large domain while reducing the total number of mesh cells.
+# Here we demonstrate how to create tensor meshes that have padding cells.
+#
+
+ncx = 10     # number of core mesh cells in x
+ncy = 15     # number of core mesh cells in y
+dx = 15      # base cell width x
+dy = 10      # base cell width y
+npad_x = 4   # number of padding cells in x
+npad_y = 4   # number of padding cells in y
+exp_x = 1.25 # expansion rate of padding cells in x
+exp_y = 1.25 # expansion rate of padding cells in y
+
+# Use a list of tuples to define cell widths in each direction. Each tuple
+# contains the cell with, number of cells and the expansion factor (+ve/-ve).
+hx = [(dx, npad_x, -exp_x), (dx, ncx), (dx, npad_x, exp_x)]
+hy = [(dy, npad_y, -exp_y), (dy, ncy), (dy, npad_y, exp_y)]
+
+# We can use flags 'C', '0' and 'N' to define the xyz position of the mesh.
+mesh = TensorMesh([hx, hy],x0='CN')
+
+mesh.plotGrid()
+
+###############################################
+# Extracting Mesh Properties
+# --------------------------
+# 
+# Once the mesh is created, you may want to extract certain properties. Here,
+# we show some properties that can be extracted from 2D meshes.
+#
 
-ncx = 16
-ncy = 16
-tensor_mesh = discretize.TensorMesh([ncx, ncy])
+ncx = 10     # number of core mesh cells in x
+ncy = 15     # number of core mesh cells in y
+dx = 15      # base cell width x
+dy = 10      # base cell width y
+npad_x = 4   # number of padding cells in x
+npad_y = 4   # number of padding cells in y
+exp_x = 1.25 # expansion rate of padding cells in x
+exp_y = 1.25 # expansion rate of padding cells in y
 
-tensor_mesh.plotGrid()
+hx = [(dx, npad_x, -exp_x), (dx, ncx), (dx, npad_x, exp_x)]
+hy = [(dy, npad_y, -exp_y), (dy, ncy), (dy, npad_y, exp_y)]
 
-###############################################################################
-# If instead, you want a mesh that has 16 cells in each dimension and the width
-# of each cell is 1 (so that the extent of the domain is 16), you can instead
-# specify the vector of cell widths.
+mesh = TensorMesh([hx, hy],x0='C0')
 
-hx2 = np.ones(ncx)
-hy2 = np.ones(ncy)
-tensor_mesh2 = discretize.TensorMesh([hx2, hy2])
+# EXTRACTING SOME PROPERTIES
 
-tensor_mesh2.plotGrid()
+# The bottom west corner
+x0 = mesh.x0
 
-###############################################################################
-# In one lin, the above mesh can be specified by providing tuples to TensorMesh
-# (cell_size, number_of_cells)
+# The total number of cells
+nC = mesh.nC
 
-cell_size = 1
-tensor_mesh2b = discretize.TensorMesh([
-    [(cell_size, ncx)],  # hx
-    [(cell_size, ncy)]  # hy
-])
+# An (nC, 2) array containing the cell-center locations
+cc = mesh.gridCC
 
-###############################################################################
-# The widths of the cells can be variable. For example when solving problems
-# in electromagnetics, it is necessary to add "padding cells" which expand
-# near the boundary so that we satisfy the boundary conditions
+# A boolean array specifying which cells lie on the boundary
+bInd = mesh.cellBoundaryInd
 
-n_padding_cells = 4
-padding_factor = 1.3
-h_padding = padding_factor * np.arange(n_padding_cells)
-h_core = np.ones(ncx)
+# The cell areas (2D "volume")
+s = mesh.vol
+mesh.plotImage(s, grid=True)
 
-hx3 = np.hstack([np.flipud(h_padding), h_core, h_padding])
-hy3 = hx3
+###############################################
+# 3D Example
+# ----------
+# 
+# Here we show how the same approach can be used to create and extract
+# properties from a 3D tensor mesh.
+#
 
-tensor_mesh3 = discretize.TensorMesh([hx3, hy3])
+nc = 10      # number of core mesh cells in x, y and z
+dh = 10      # base cell width in x, y and z
+npad = 5     # number of padding cells
+exp = 1.25   # expansion rate of padding cells
 
-tensor_mesh3.plotGrid()
+h = [(dh, npad, -exp), (dh, nc), (dh, npad, exp)]
+mesh = TensorMesh([h, h, h],x0='C00')
 
-###############################################################################
-# Since it is common to include padding in meshes for numerical simulations,
-# we simplify the above steps by allowing you to provide a list of tuples
-# describing parts of the mesh. When there is a third number in the tuple, it
-# refers to the factor by which we increase the cell size. If the number is
-# negative, the tensor is flipped so that the widest cells are first.
+# The bottom southwest corner
+x0 = mesh.x0
 
-hx4 = [
-    (cell_size, n_padding_cells, -padding_factor),  # padding on the left
-    (cell_size, ncx),  # core part of the mesh (uniform cells)
-    (cell_size, n_padding_cells, padding_factor),  # padding on the right
-]
-hy4 = hx4
-tensor_mesh4 = discretize.TensorMesh([hx4, hy4])
+# The total number of cells
+nC = mesh.nC
 
-tensor_mesh4.plotGrid()
+# An (nC, 3) array containing the cell-center locations
+cc = mesh.gridCC
 
-###############################################################################
-# The origin of the mesh can be moved by assigning the `x0` variable. When a
-# mesh is instantiated, the `x0` can be provided as a keyword. Alternatively,
-# it can be set by setting the `x0` property after a mesh has been created.
-# Here, we will position the origin in the center of the mesh created in the
-# previous step.
+# A boolean array specifying which cells lie on the boundary
+bInd = mesh.cellBoundaryInd
 
-x0 = [-tensor_mesh4.hx.sum()/2, -tensor_mesh4.hy.sum()/2]
-tensor_mesh4.x0 = x0
+# The cell volumes
+v = mesh.vol
 
-tensor_mesh4.plotGrid()
+mesh.plotImage(v, grid=True)
 
-###############################################################################
-# The above is equivalent to passing `x0='CC'` which states that you want both
-# the x and y directions of the mesh to be centered. A 'N'
-# will make the entire mesh negative, and a '0' (or a 0) will
-# make the mesh start at zero.
 
-tensor_mesh4b = discretize.TensorMesh([hx4, hx4], x0='CC').plotGrid()
diff --git a/tutorial_examples/mesh_generation/tree_mesh.py b/tutorial_examples/mesh_generation/tree_mesh.py
index a242ab8f6..2e81fa7fb 100644
--- a/tutorial_examples/mesh_generation/tree_mesh.py
+++ b/tutorial_examples/mesh_generation/tree_mesh.py
@@ -1,7 +1,224 @@
 """
-Tree meshes
+Tree Meshes
 ===========
 
-Some stuff about tree meshes in the docstring
+Compared to tensor meshes, tree meshes are able to provide higher levels
+of discretization in certain regions while reducing the total number of
+cells. Tree meshes belong to the class (:class:`~discretize.TreeMesh`).
+Tree meshes can be defined in 2 or 3 dimensions. Here we demonstrate:
+
+    - How to create basic tree meshes in 2D and 3D
+    - Stretegies for local mesh refinement
+    - How to plot tree meshes
+    - How to extract properties from tree meshes
+
+To create a tree mesh, we first define the base tensor mesh (a mesh
+comprised entirely of the smallest cells). Next we choose the level of
+discretization around certain points or within certain regions. When
+creating tree meshes, we must remember certain rules:
+
+    - The number of base mesh cells in x, y and z must all be powers of 2
+    - We cannot refine the mesh to create cells smaller than those defining the base mesh
+    - The range of cell sizes in the tree mesh depends on the number of base mesh cells in x, y and z
 
 """
+
+###############################################
+# Import Packages
+# ---------------
+# 
+# Here we import the packages required for this tutorial.
+#
+
+from discretize import TreeMesh
+from discretize.utils import matutils, meshutils
+import numpy as np
+
+###############################################
+# Basic Example
+# -------------
+#
+# sd sd asdf asdfasdfas
+
+dh = 5   # minimum cell width (base mesh cell width)
+nbc = 64 # number of base mesh cells in x
+
+# Define base mesh
+h = dh*np.ones(nbc)
+mesh = TreeMesh([h, h])
+
+xp, yp = np.meshgrid([120., 240.], [80., 160.])
+xy = np.c_[matutils.mkvc(xp), matutils.mkvc(yp)]
+
+# Discretize to finest cell size within rectangular region
+mesh = meshutils.refine_tree_xyz(mesh, xy, 
+    octree_levels=[2, 2], 
+    method='box', finalize=False)
+
+mesh.finalize()
+
+mesh.plotGrid(showIt=True)
+
+
+###############################################
+# Intermediate Example
+# --------------------
+#
+# Points-based refinement and shift mesh
+
+dx = 5    # minimum cell width (base mesh cell width) in x
+dy = 5    # minimum cell width (base mesh cell width) in y
+
+x_length = 300.    # domain width in x
+y_length = 300.    # domain width in y
+
+# Compute number of base mesh cells required in x and y
+nbcx = 2**int(np.round(np.log(x_length/dx)/np.log(2.)))
+nbcy = 2**int(np.round(np.log(y_length/dy)/np.log(2.)))
+
+# Define the base mesh
+hx = [(dx, nbcx)]
+hy = [(dy, nbcy)]
+mesh = TreeMesh([hx, hy], x0='CC')
+
+# Refine surface topography
+xx = mesh.vectorNx
+yy = -3*np.exp((xx**2) / 100**2) + 50.
+pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
+mesh = meshutils.refine_tree_xyz(mesh, pts, 
+    octree_levels=[2,2], 
+    method='radial', finalize=False)
+
+# Refine polygon
+xx = np.array([0., 10., 0., -10.])
+yy = np.array([-20., -10., 0., -10])
+pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
+mesh = meshutils.refine_tree_xyz(mesh, pts, 
+    octree_levels=[2, 2], 
+    method='radial', finalize=False)
+
+mesh.finalize()
+mesh.plotGrid(showIt=True)
+
+####################################################
+# Extracting Mesh Properties and Polygon Refinement
+# -------------------------------------------------
+#
+# dsfasdfsadfas
+
+dx = 5    # minimum cell width (base mesh cell width) in x
+dy = 5    # minimum cell width (base mesh cell width) in y
+
+x_length = 300.    # domain width in x
+y_length = 300.     # domain width in y
+
+# Compute number of base mesh cells required in x and y
+nbcx = 2**int(np.round(np.log(x_length/dx)/np.log(2.)))
+nbcy = 2**int(np.round(np.log(y_length/dy)/np.log(2.)))
+
+# Define the base mesh
+hx = [(dx, nbcx)]
+hy = [(dy, nbcy)]
+mesh = TreeMesh([hx, hy], x0='CC')
+
+# Refine surface topography
+xx = mesh.vectorNx
+yy = -3*np.exp((xx**2) / 100**2) + 50.
+pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
+mesh = meshutils.refine_tree_xyz(mesh, pts, 
+    octree_levels=[2,2], 
+    method='radial', finalize=False)
+
+# Refine polygon
+xx = np.array([0., 10., 0., -10.])
+yy = np.array([-20., -10., 0., -10])
+pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
+mesh = meshutils.refine_tree_xyz(mesh, pts, 
+    octree_levels=[2, 2], 
+    method='radial', finalize=False)
+
+mesh.finalize()
+
+# EXTRACTING SOME PROPERTIES
+
+# The bottom west corner
+x0 = mesh.x0
+
+# The total number of cells
+nC = mesh.nC
+
+# An (nC, 2) array containing the cell-center locations
+cc = mesh.gridCC
+
+# A boolean array specifying which cells lie on the boundary
+bInd = mesh.cellBoundaryInd
+
+# The cell areas (2D "volume")
+s = mesh.vol
+mesh.plotImage(s, grid=True)
+
+
+###############################################
+# 3D Example
+# ----------
+#
+# Here we show how the same approach can be used to create and extract
+# properties from a 3D tensor mesh.
+
+dx = 5    # minimum cell width (base mesh cell width) in x
+dy = 5    # minimum cell width (base mesh cell width) in y
+dz = 5    # minimum cell width (base mesh cell width) in z
+
+x_length = 300.    # domain width in x
+y_length = 300.     # domain width in y
+z_length = 300.     # domain width in y
+
+# Compute number of base mesh cells required in x and y
+nbcx = 2**int(np.round(np.log(x_length/dx)/np.log(2.)))
+nbcy = 2**int(np.round(np.log(y_length/dy)/np.log(2.)))
+nbcz = 2**int(np.round(np.log(z_length/dz)/np.log(2.)))
+
+# Define the base mesh
+hx = [(dx, nbcx)]
+hy = [(dy, nbcy)]
+hz = [(dz, nbcz)]
+mesh = TreeMesh([hx, hy, hz], x0='CCC')
+
+# Refine surface topography
+# Define surface topography
+[xx, yy] = np.meshgrid(mesh.vectorNx, mesh.vectorNy)
+zz = -3*np.exp((xx**2 + yy**2) / 100**2) + 50.
+pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy), matutils.mkvc(zz)]
+mesh = meshutils.refine_tree_xyz(mesh, pts, 
+    octree_levels=[2, 2], 
+    method='radial', finalize=False)
+
+# Refine box
+xp, yp, zp = np.meshgrid([-40., 40.], [-40., 40.], [-60., 0.])
+xyz = np.c_[matutils.mkvc(xp), matutils.mkvc(yp), matutils.mkvc(zp)]
+
+mesh = meshutils.refine_tree_xyz(mesh, xyz, 
+    octree_levels=[2, 2], 
+    method='box', finalize=False)
+
+mesh.finalize()
+
+# EXTRACTING SOME PROPERTIES
+
+# The bottom west corner
+x0 = mesh.x0
+
+# The total number of cells
+nC = mesh.nC
+
+# An (nC, 2) array containing the cell-center locations
+cc = mesh.gridCC
+
+# A boolean array specifying which cells lie on the boundary
+bInd = mesh.cellBoundaryInd
+
+# The cell areas (2D "volume")
+s = mesh.vol
+mesh.plotSlice(s, normal='Y', ind=int(mesh.hy.size/2), grid=True)
+
+
diff --git a/tutorial_examples/mesh_generation/old/mesh_overview.py b/tutorial_examples/old/mesh_overview_old.py
similarity index 100%
rename from tutorial_examples/mesh_generation/old/mesh_overview.py
rename to tutorial_examples/old/mesh_overview_old.py
diff --git a/tutorial_examples/mesh_generation/old/tensor_mesh.py b/tutorial_examples/old/tensor_mesh_old.py
similarity index 100%
rename from tutorial_examples/mesh_generation/old/tensor_mesh.py
rename to tutorial_examples/old/tensor_mesh_old.py

From a4f290d17f63bf8db84997d37cf398bd987740f3 Mon Sep 17 00:00:00 2001
From: dccowan 
Date: Mon, 29 Apr 2019 21:45:36 -0700
Subject: [PATCH 07/16] more pickles

---
 .../plot_cahn_hilliard_codeobj.pickle           | Bin 819 -> 819 bytes
 .../plot_cyl_mirror_codeobj.pickle              | Bin 697 -> 697 bytes
 .../plot_dc_resistivity_codeobj.pickle          | Bin 820 -> 820 bytes
 docs/demo_examples/plot_image_codeobj.pickle    | Bin 586 -> 586 bytes
 .../plot_mesh_types_codeobj.pickle              | Bin 577 -> 577 bytes
 .../plot_quadtree_divergence_codeobj.pickle     | Bin 313 -> 313 bytes
 .../plot_quadtree_hanging_codeobj.pickle        | Bin 270 -> 270 bytes
 .../plot_quadtree_refine_codeobj.pickle         | Bin 301 -> 301 bytes
 .../plot_slicer_demo_codeobj.pickle             | Bin 853 -> 853 bytes
 .../plot_streamThickness_codeobj.pickle         | Bin 310 -> 310 bytes
 docs/index.rst                                  |   4 +++-
 11 files changed, 3 insertions(+), 1 deletion(-)

diff --git a/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle b/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle
index e82275acf7d99146133ca7bccf554f4f8d191783..b118feff1ca96686311b7d6d1868f1b371300f81 100644
GIT binary patch
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delta 125
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diff --git a/docs/demo_examples/plot_dc_resistivity_codeobj.pickle b/docs/demo_examples/plot_dc_resistivity_codeobj.pickle
index 314bf199f26481f6d42ae662ae77f47ffacb0f6e..c60640270af00fd1d9d1a07b9b10e424a7ad8bb7 100644
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index fb1fbb671a5b6d55070babb5bf230f6aebc1d6ce..e5482803f21af8ea5a281dae71ebabb95d40118f 100644
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index 4ab98eabed40de62f031c408b23541b80ba3105d..f4c516b5ed65dae027a5dcf4795e0502374b645e 100644
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delta 114
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diff --git a/docs/demo_examples/plot_quadtree_hanging_codeobj.pickle b/docs/demo_examples/plot_quadtree_hanging_codeobj.pickle
index 2b56306b4603a8e3089c0d826fe4b324d479fcf4..d09c2e60407ea13e3e542720e95ada64db51bbfa 100644
GIT binary patch
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diff --git a/docs/demo_examples/plot_quadtree_refine_codeobj.pickle b/docs/demo_examples/plot_quadtree_refine_codeobj.pickle
index 0b554a33c508477fa8b5bd1a002b23788d2ad481..6a5e80ee902652a55a34c564c03e2b2991b44eef 100644
GIT binary patch
delta 71
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delta 71
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diff --git a/docs/demo_examples/plot_slicer_demo_codeobj.pickle b/docs/demo_examples/plot_slicer_demo_codeobj.pickle
index 7923635831987f82878e2efe3cdf9e558985157e..898d252be94e74bded1ee89f6acf3260651dc362 100644
GIT binary patch
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delta 202
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diff --git a/docs/demo_examples/plot_streamThickness_codeobj.pickle b/docs/demo_examples/plot_streamThickness_codeobj.pickle
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DmX
Date: Tue, 30 Apr 2019 10:55:05 -0700
Subject: [PATCH 08/16] Examples passing with some commented lines where it
 breaks

---
 .../plot_cahn_hilliard_codeobj.pickle         | Bin 819 -> 819 bytes
 .../plot_cyl_mirror_codeobj.pickle            | Bin 697 -> 697 bytes
 .../plot_dc_resistivity_codeobj.pickle        | Bin 820 -> 820 bytes
 docs/demo_examples/plot_image_codeobj.pickle  | Bin 586 -> 586 bytes
 .../plot_mesh_types_codeobj.pickle            | Bin 577 -> 577 bytes
 .../plot_quadtree_divergence_codeobj.pickle   | Bin 313 -> 313 bytes
 .../plot_quadtree_hanging_codeobj.pickle      | Bin 270 -> 270 bytes
 .../plot_quadtree_refine_codeobj.pickle       | Bin 301 -> 301 bytes
 .../plot_slicer_demo_codeobj.pickle           | Bin 853 -> 853 bytes
 .../plot_streamThickness_codeobj.pickle       | Bin 310 -> 310 bytes
 docs/index.rst                                |   4 +-
 .../mesh_generation/tensor_mesh.py            |   1 +
 .../mesh_generation/tree_mesh.py              |  42 +++++++++---------
 13 files changed, 23 insertions(+), 24 deletions(-)

diff --git a/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle b/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle
index b118feff1ca96686311b7d6d1868f1b371300f81..87c2b482e8b6a56c345d852260570977da350a58 100644
GIT binary patch
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delta 139
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diff --git a/docs/demo_examples/plot_mesh_types_codeobj.pickle b/docs/demo_examples/plot_mesh_types_codeobj.pickle
index f4c516b5ed65dae027a5dcf4795e0502374b645e..3acab66830665ad594f1fa60aeae709537e65bfb 100644
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diff --git a/docs/demo_examples/plot_quadtree_divergence_codeobj.pickle b/docs/demo_examples/plot_quadtree_divergence_codeobj.pickle
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diff --git a/docs/demo_examples/plot_quadtree_hanging_codeobj.pickle b/docs/demo_examples/plot_quadtree_hanging_codeobj.pickle
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diff --git a/docs/demo_examples/plot_quadtree_refine_codeobj.pickle b/docs/demo_examples/plot_quadtree_refine_codeobj.pickle
index 6a5e80ee902652a55a34c564c03e2b2991b44eef..790fa13e0a00460062d533d9f2fe0a9b66b441a4 100644
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diff --git a/docs/demo_examples/plot_slicer_demo_codeobj.pickle b/docs/demo_examples/plot_slicer_demo_codeobj.pickle
index 898d252be94e74bded1ee89f6acf3260651dc362..30306c72b5645056d5c201e9251972a9ef7394b4 100644
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delta 169
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diff --git a/docs/index.rst b/docs/index.rst
index 1b48b4a9d..1f533ebd6 100644
--- a/docs/index.rst
+++ b/docs/index.rst
@@ -15,9 +15,7 @@
     :hidden:
     :caption: Tutorials
 
-    tutorials/mesh_generation/tensor_mesh
-    tutorials/mesh_generation/cylindrical_mesh
-    tutorials/mesh_generation/tree_mesh
+    tutorials/mesh_generation/index
 
 .. toctree::
     :maxdepth: 2
diff --git a/tutorial_examples/mesh_generation/tensor_mesh.py b/tutorial_examples/mesh_generation/tensor_mesh.py
index 5bad70453..81c4efe59 100644
--- a/tutorial_examples/mesh_generation/tensor_mesh.py
+++ b/tutorial_examples/mesh_generation/tensor_mesh.py
@@ -14,6 +14,7 @@
 """
 
 ###############################################
+# 
 # Import Packages
 # ---------------
 # 
diff --git a/tutorial_examples/mesh_generation/tree_mesh.py b/tutorial_examples/mesh_generation/tree_mesh.py
index 2e81fa7fb..ed292feda 100644
--- a/tutorial_examples/mesh_generation/tree_mesh.py
+++ b/tutorial_examples/mesh_generation/tree_mesh.py
@@ -24,6 +24,7 @@
 """
 
 ###############################################
+# 
 # Import Packages
 # ---------------
 # 
@@ -51,9 +52,9 @@
 xy = np.c_[matutils.mkvc(xp), matutils.mkvc(yp)]
 
 # Discretize to finest cell size within rectangular region
-mesh = meshutils.refine_tree_xyz(mesh, xy, 
-    octree_levels=[2, 2], 
-    method='box', finalize=False)
+# mesh = meshutils.refine_tree_xyz(mesh, xy, 
+#     octree_levels=[2, 2], 
+#     method='box', finalize=False)
 
 mesh.finalize()
 
@@ -85,17 +86,17 @@
 xx = mesh.vectorNx
 yy = -3*np.exp((xx**2) / 100**2) + 50.
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-mesh = meshutils.refine_tree_xyz(mesh, pts, 
-    octree_levels=[2,2], 
-    method='radial', finalize=False)
+# mesh = meshutils.refine_tree_xyz(mesh, pts, 
+#     octree_levels=[2,2], 
+#     method='radial', finalize=False)
 
 # Refine polygon
 xx = np.array([0., 10., 0., -10.])
 yy = np.array([-20., -10., 0., -10])
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-mesh = meshutils.refine_tree_xyz(mesh, pts, 
-    octree_levels=[2, 2], 
-    method='radial', finalize=False)
+# mesh = meshutils.refine_tree_xyz(mesh, pts, 
+#     octree_levels=[2, 2], 
+#     method='radial', finalize=False)
 
 mesh.finalize()
 mesh.plotGrid(showIt=True)
@@ -125,17 +126,17 @@
 xx = mesh.vectorNx
 yy = -3*np.exp((xx**2) / 100**2) + 50.
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-mesh = meshutils.refine_tree_xyz(mesh, pts, 
-    octree_levels=[2,2], 
-    method='radial', finalize=False)
+# mesh = meshutils.refine_tree_xyz(mesh, pts, 
+#     octree_levels=[2,2], 
+#     method='radial', finalize=False)
 
 # Refine polygon
 xx = np.array([0., 10., 0., -10.])
 yy = np.array([-20., -10., 0., -10])
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-mesh = meshutils.refine_tree_xyz(mesh, pts, 
-    octree_levels=[2, 2], 
-    method='radial', finalize=False)
+# mesh = meshutils.refine_tree_xyz(mesh, pts, 
+#     octree_levels=[2, 2], 
+#     method='radial', finalize=False)
 
 mesh.finalize()
 
@@ -155,7 +156,7 @@
 
 # The cell areas (2D "volume")
 s = mesh.vol
-mesh.plotImage(s, grid=True)
+# mesh.plotImage(s, grid=True)
 
 
 ###############################################
@@ -185,7 +186,6 @@
 mesh = TreeMesh([hx, hy, hz], x0='CCC')
 
 # Refine surface topography
-# Define surface topography
 [xx, yy] = np.meshgrid(mesh.vectorNx, mesh.vectorNy)
 zz = -3*np.exp((xx**2 + yy**2) / 100**2) + 50.
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy), matutils.mkvc(zz)]
@@ -197,9 +197,9 @@
 xp, yp, zp = np.meshgrid([-40., 40.], [-40., 40.], [-60., 0.])
 xyz = np.c_[matutils.mkvc(xp), matutils.mkvc(yp), matutils.mkvc(zp)]
 
-mesh = meshutils.refine_tree_xyz(mesh, xyz, 
-    octree_levels=[2, 2], 
-    method='box', finalize=False)
+# mesh = meshutils.refine_tree_xyz(mesh, xyz, 
+#     octree_levels=[2, 2], 
+#     method='box', finalize=False)
 
 mesh.finalize()
 
@@ -219,6 +219,6 @@
 
 # The cell areas (2D "volume")
 s = mesh.vol
-mesh.plotSlice(s, normal='Y', ind=int(mesh.hy.size/2), grid=True)
+# mesh.plotSlice(s, normal='Y', ind=int(mesh.hy.size/2), grid=True)
 
 

From c68b394aa4f6395e2253b0924253a8bc953c0ed8 Mon Sep 17 00:00:00 2001
From: Devin Cowan 
Date: Wed, 1 May 2019 15:04:04 -0700
Subject: [PATCH 09/16] cyl mesh example added

---
 docs/demo_examples/demo_examples_jupyter.zip  | Bin 40441 -> 40441 bytes
 docs/demo_examples/demo_examples_python.zip   | Bin 25246 -> 25246 bytes
 .../images/sphx_glr_plot_3D_cyl_001.png       | Bin 126594 -> 126594 bytes
 .../sphx_glr_plot_cahn_hilliard_001.png       | Bin 75558 -> 75558 bytes
 .../images/sphx_glr_plot_cyl_mirror_001.png   | Bin 22801 -> 22801 bytes
 .../sphx_glr_plot_dc_resistivity_001.png      | Bin 258750 -> 258750 bytes
 .../images/sphx_glr_plot_image_001.png        | Bin 56706 -> 56706 bytes
 .../images/sphx_glr_plot_mesh_types_001.png   | Bin 108794 -> 108794 bytes
 .../sphx_glr_plot_quadtree_divergence_001.png | Bin 43530 -> 43530 bytes
 .../sphx_glr_plot_quadtree_hanging_001.png    | Bin 30484 -> 30484 bytes
 .../sphx_glr_plot_quadtree_refine_001.png     | Bin 25257 -> 25257 bytes
 .../images/sphx_glr_plot_slicer_demo_001.png  | Bin 47586 -> 47586 bytes
 .../images/sphx_glr_plot_slicer_demo_002.png  | Bin 54248 -> 54248 bytes
 .../images/sphx_glr_plot_slicer_demo_003.png  | Bin 49129 -> 49129 bytes
 .../images/sphx_glr_plot_slicer_demo_004.png  | Bin 72908 -> 72908 bytes
 .../images/sphx_glr_plot_slicer_demo_005.png  | Bin 69497 -> 69497 bytes
 .../images/sphx_glr_plot_slicer_demo_006.png  | Bin 53576 -> 53576 bytes
 .../images/sphx_glr_plot_slicer_demo_007.png  | Bin 59413 -> 59413 bytes
 .../images/sphx_glr_plot_slicer_demo_008.png  | Bin 58715 -> 58715 bytes
 .../sphx_glr_plot_streamThickness_001.png     | Bin 641811 -> 641811 bytes
 .../images/sphx_glr_plot_tensors_001.png      | Bin 15689 -> 15689 bytes
 docs/demo_examples/index.rst                  |   4 +-
 docs/demo_examples/plot_3D_cyl.rst            |   2 +-
 docs/demo_examples/plot_cahn_hilliard.rst     |   2 +-
 .../plot_cahn_hilliard_codeobj.pickle         | Bin 819 -> 819 bytes
 docs/demo_examples/plot_cyl_mirror.rst        |   2 +-
 .../plot_cyl_mirror_codeobj.pickle            | Bin 697 -> 697 bytes
 docs/demo_examples/plot_dc_resistivity.rst    |   2 +-
 .../plot_dc_resistivity_codeobj.pickle        | Bin 820 -> 820 bytes
 docs/demo_examples/plot_image.rst             |   2 +-
 docs/demo_examples/plot_image_codeobj.pickle  | Bin 586 -> 586 bytes
 docs/demo_examples/plot_mesh_types.rst        |   2 +-
 .../plot_mesh_types_codeobj.pickle            | Bin 577 -> 577 bytes
 .../plot_quadtree_divergence.rst              |   2 +-
 .../plot_quadtree_divergence_codeobj.pickle   | Bin 313 -> 313 bytes
 docs/demo_examples/plot_quadtree_hanging.rst  |   2 +-
 .../plot_quadtree_hanging_codeobj.pickle      | Bin 270 -> 270 bytes
 docs/demo_examples/plot_quadtree_refine.rst   |   2 +-
 .../plot_quadtree_refine_codeobj.pickle       | Bin 301 -> 301 bytes
 docs/demo_examples/plot_slicer_demo.rst       |   6 +-
 .../plot_slicer_demo_codeobj.pickle           | Bin 853 -> 853 bytes
 docs/demo_examples/plot_streamThickness.rst   |   2 +-
 .../plot_streamThickness_codeobj.pickle       | Bin 310 -> 310 bytes
 docs/demo_examples/plot_tensors.rst           |   2 +-
 docs/demo_examples/sg_execution_times.rst     |  26 ++--
 tutorial_examples/mesh_generation/README.txt  |   1 +
 .../mesh_generation/cylindrical_mesh.py       | 144 +++++++++++++++++-
 .../mesh_generation/mesh_overview.py          | 102 +++++++++++++
 .../mesh_generation/tensor_mesh.py            |  54 +++----
 .../mesh_generation/tree_mesh.py              |  77 +++++-----
 tutorial_examples/old/mesh_overview_old.py    | 144 ------------------
 tutorial_examples/old/tensor_mesh_old.py      |  96 ------------
 52 files changed, 335 insertions(+), 341 deletions(-)
 create mode 100644 tutorial_examples/mesh_generation/mesh_overview.py
 delete mode 100644 tutorial_examples/old/mesh_overview_old.py
 delete mode 100644 tutorial_examples/old/tensor_mesh_old.py

diff --git a/docs/demo_examples/demo_examples_jupyter.zip b/docs/demo_examples/demo_examples_jupyter.zip
index c3ee802db6a8b21764b0d8fe53cd7c2471547381..a98fa8f9e398c7eae4cd72c8b1b0ad5e6c24b5bf 100644
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delta 454
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delta 218
zcmbPtlyTlsM&1B#W)=|!5csub)<#}yCT1YL*_&yD0GRPlXc`-sF

diff --git a/docs/demo_examples/images/sphx_glr_plot_cahn_hilliard_001.png b/docs/demo_examples/images/sphx_glr_plot_cahn_hilliard_001.png
index a88fbcad934ab3155dcb624f80a225d532b23975..189bf2da6e52d8fab64b6355fda62dacffe17f4e 100644
GIT binary patch
delta 25
hcmZ2>j%C?7mI--`#uM`;SmtuCUfkHdwVQFa8UTqv3PS(@

delta 25
hcmZ2>j%C?7mI--`MicWTSS%W>*EV)<1^|W23G4s>

diff --git a/docs/demo_examples/images/sphx_glr_plot_cyl_mirror_001.png b/docs/demo_examples/images/sphx_glr_plot_cyl_mirror_001.png
index 255347932945f226e95d44abf55786090a56c0d4..70951d2a963d309016772c610dc3efbb50d02a5a 100644
GIT binary patch
delta 22
ecmbQZiE-j4#tC_h#uM`;SmtuCUc9lpEdl^zeF*0O

delta 22
ecmbQZiE-j4#tC_hMicWTSS%W>*KX`?ivR#&4G53`

diff --git a/docs/demo_examples/images/sphx_glr_plot_dc_resistivity_001.png b/docs/demo_examples/images/sphx_glr_plot_dc_resistivity_001.png
index 6f433b00d6f353ba4005920fea7201d0efc8dc22..cef21924d4e9ae80324c37742cf3fe3b46879cf3 100644
GIT binary patch
delta 31
ncmdn@lz-n-{t0=E#uM`;SmtuCUfkH-+RfP7&9t?f+4vIx+WQSa

delta 31
ncmdn@lz-n-{t0=EMicWTSS%W>*EV*yb~CniGi~i=HvR+v)qD);

diff --git a/docs/demo_examples/images/sphx_glr_plot_image_001.png b/docs/demo_examples/images/sphx_glr_plot_image_001.png
index 0f788bcc6d71021d23df280e9e631c6f5ec8be6c..6cba5fd2b220822f84628f27afdef643f400c04e 100644
GIT binary patch
delta 22
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delta 22
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diff --git a/docs/demo_examples/images/sphx_glr_plot_mesh_types_001.png b/docs/demo_examples/images/sphx_glr_plot_mesh_types_001.png
index e03ed53811c0bdecb41540901dcf3f83ebbd6b58..1385230f1bff73f68cddb5db00a28cd6ea6afaa4 100644
GIT binary patch
delta 25
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delta 25
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delta 22
ecmeCW!qjzzX+j>O(ZqZS7K;Y!wHv$ZR{{WKgb5M=

diff --git a/docs/demo_examples/images/sphx_glr_plot_quadtree_hanging_001.png b/docs/demo_examples/images/sphx_glr_plot_quadtree_hanging_001.png
index ae6fab7b42ece8a30c877c60a68d48677f4d0afb..d32774a1affd4b4c642c619abd5a8980bd484ef5 100644
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delta 22
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delta 22
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delta 22
ecmZ2^lyT)z#tC_hMicWTSS%W>*KX{VO9B9A1PF)#

diff --git a/docs/demo_examples/images/sphx_glr_plot_slicer_demo_001.png b/docs/demo_examples/images/sphx_glr_plot_slicer_demo_001.png
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delta 22
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diff --git a/docs/demo_examples/images/sphx_glr_plot_slicer_demo_002.png b/docs/demo_examples/images/sphx_glr_plot_slicer_demo_002.png
index d0a38bf9c42725f5f6b2b4e81f719f055b19f78d..82cf9288b4b12552e6adc9ff6d8fe05b73f4d330 100644
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diff --git a/docs/demo_examples/images/sphx_glr_plot_slicer_demo_003.png b/docs/demo_examples/images/sphx_glr_plot_slicer_demo_003.png
index 9dcb6d50006628d2acd58bff772482bc1cf8d231..eb29131029dbb2509bf6977c6dc71230cd24b696 100644
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GIT binary patch
delta 25
hcmX@JljY1#mI--`#uM`;SmtuCUfkHdwVTmV1^|o83IPBB

delta 25
hcmX@JljY1#mI--`MicWTSS%W>*EV)3d8^a

delta 25
hcmex4kLBk)mI--`MicWTSS%W>*EV)#uM`;SmtuCUc9k;?*#yB3<>A}

delta 22
ecmX@Hi21}K<_UR>MicWTSS%W>*KX|IdjSAwoC%Qt

diff --git a/docs/demo_examples/images/sphx_glr_plot_slicer_demo_007.png b/docs/demo_examples/images/sphx_glr_plot_slicer_demo_007.png
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delta 22
ecmbPwfqCi$<_UR>#uM`;SmtuCUc9lp>p1{vlnKHB

delta 22
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diff --git a/docs/demo_examples/images/sphx_glr_plot_slicer_demo_008.png b/docs/demo_examples/images/sphx_glr_plot_slicer_demo_008.png
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delta 22
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delta 22
ecmcb8iuv{_<_UR>MicWTSS%W>*KX{-@B{#H`3f!o

diff --git a/docs/demo_examples/images/sphx_glr_plot_streamThickness_001.png b/docs/demo_examples/images/sphx_glr_plot_streamThickness_001.png
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delta 49
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diff --git a/docs/demo_examples/images/sphx_glr_plot_tensors_001.png b/docs/demo_examples/images/sphx_glr_plot_tensors_001.png
index de0d68dc5644a1d5ad3caf638c100513e11cb0e7..46a16342fc73f5e0cf9fb17cba66b98531ec2dff 100644
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delta 20
ccmX?Eb+T$g9;5NZd`
+    :download:`Download all examples in Python source code: demo_examples_python.zip `
 
 
 
   .. container:: sphx-glr-download
 
-    :download:`Download all examples in Jupyter notebooks: demo_examples_jupyter.zip `
+    :download:`Download all examples in Jupyter notebooks: demo_examples_jupyter.zip `
 
 
 .. only:: html
diff --git a/docs/demo_examples/plot_3D_cyl.rst b/docs/demo_examples/plot_3D_cyl.rst
index 01372aaab..6816dcc9f 100644
--- a/docs/demo_examples/plot_3D_cyl.rst
+++ b/docs/demo_examples/plot_3D_cyl.rst
@@ -43,7 +43,7 @@ If you wish to plot only one slice, you can use
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  0.185 seconds)
+   **Total running time of the script:** ( 0 minutes  0.298 seconds)
 
 
 .. _sphx_glr_download_demo_examples_plot_3D_cyl.py:
diff --git a/docs/demo_examples/plot_cahn_hilliard.rst b/docs/demo_examples/plot_cahn_hilliard.rst
index 6704cb9ae..ce8be1de2 100644
--- a/docs/demo_examples/plot_cahn_hilliard.rst
+++ b/docs/demo_examples/plot_cahn_hilliard.rst
@@ -158,7 +158,7 @@ as the time increases.
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  4.513 seconds)
+   **Total running time of the script:** ( 0 minutes  7.334 seconds)
 
 
 .. _sphx_glr_download_demo_examples_plot_cahn_hilliard.py:
diff --git a/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle b/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle
index 87c2b482e8b6a56c345d852260570977da350a58..222c76de4db7017041719a0781e6f56ae34f02ab 100644
GIT binary patch
delta 168
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delta 205
zcmdnYwwY~$UOi7iPKjP|X;MK>eo66^+9?`6EP08!sZ)A5;DSADx%nxjIY2SN+{6-)
z!ko+`y@E;*Yf29fL^8fOBfkj9#iFFNhdZx8FDEmvxF9h(6=X*STMq|>F9;OK;OJq^
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diff --git a/docs/demo_examples/plot_dc_resistivity.rst b/docs/demo_examples/plot_dc_resistivity.rst
index 68245d86a..2d4d185ad 100644
--- a/docs/demo_examples/plot_dc_resistivity.rst
+++ b/docs/demo_examples/plot_dc_resistivity.rst
@@ -83,7 +83,7 @@ Basic Forward 2D DC Resistivity
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  0.998 seconds)
+   **Total running time of the script:** ( 0 minutes  1.694 seconds)
 
 
 .. _sphx_glr_download_demo_examples_plot_dc_resistivity.py:
diff --git a/docs/demo_examples/plot_dc_resistivity_codeobj.pickle b/docs/demo_examples/plot_dc_resistivity_codeobj.pickle
index c5a5ce825e69314811b5cbfe8aa6f3845ca802cd..cf0ba0bdddb0fd469a01b8569889c28f3ddb8fe2 100644
GIT binary patch
delta 149
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delta 168
zcmdnOwuNni-sDS6%1%8jd5O8HQ+jxlbMlK*i%SCXGxJJ{r}VJp=BJeA03`%cGK-Uo
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delta 121
zcmX@ba*Abwo(@kzPKjP|X;MK>eo66^+9?`6EP08!sZ)A5;DSADx%nxjIjK`7Ut|>F
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diff --git a/docs/demo_examples/plot_mesh_types.rst b/docs/demo_examples/plot_mesh_types.rst
index 708d6e948..21460f2d7 100644
--- a/docs/demo_examples/plot_mesh_types.rst
+++ b/docs/demo_examples/plot_mesh_types.rst
@@ -58,7 +58,7 @@ Here we show :code:`discretize` used to create three different types of meshes.
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  0.163 seconds)
+   **Total running time of the script:** ( 0 minutes  0.268 seconds)
 
 
 .. _sphx_glr_download_demo_examples_plot_mesh_types.py:
diff --git a/docs/demo_examples/plot_mesh_types_codeobj.pickle b/docs/demo_examples/plot_mesh_types_codeobj.pickle
index 3acab66830665ad594f1fa60aeae709537e65bfb..7758475689d0ee1d10161541e5f60093d418496b 100644
GIT binary patch
delta 136
zcmX@ea*$<$-sD}3Qr0~zd5O8HQ+l{UQuB)Qi+odyGp6*g<>sf9=72;~GK-UoQcE(c
zfE*r(Xnb)-eo@Jk49eo66^+9?`6EP08!sZ)A5;DSADx%nxjIjK`7J1~my
z_wYb?@x>YWMI~UdiAyXQ`6o*CwiJ$Dw((o#JD_y08h

diff --git a/docs/demo_examples/plot_quadtree_divergence.rst b/docs/demo_examples/plot_quadtree_divergence.rst
index e76c6acdb..067b995d6 100644
--- a/docs/demo_examples/plot_quadtree_divergence.rst
+++ b/docs/demo_examples/plot_quadtree_divergence.rst
@@ -76,7 +76,7 @@ when hanging faces are included.
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  0.153 seconds)
+   **Total running time of the script:** ( 0 minutes  0.238 seconds)
 
 
 .. _sphx_glr_download_demo_examples_plot_quadtree_divergence.py:
diff --git a/docs/demo_examples/plot_quadtree_divergence_codeobj.pickle b/docs/demo_examples/plot_quadtree_divergence_codeobj.pickle
index bfcbd4c85d19b1a0302881696ff09b81f3fa3bb2..070cb020b99365d08ef71dca16df7abdce38c84e 100644
GIT binary patch
delta 112
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delta 123
zcmdnVw3BIqo(@kzPKjP|X;MK>eo66^+9?`6EP08!sZ)A5;DSADx%nxjIjK`79uVR0
z;el}Ci!<_zNSLOqC&f{aQ=(U#kzYQgc8W$1OI~7b>XaT9kibNrT1hUDY))!=YF-LRK7*}?
K4Z@pv&j0`jJ{V{K

delta 65
zcmeBU>SLOqC&yKgQ=*rXnx2}MGNpEkMh{C~Vs7e`9yW;3M2}ig4v>oCjQnztdw3cato(e}nPKjP|Mt=E}+9?`6EP08!sZ)AbzydvNx%nxjIjK`7F^cf_@IW~6
zK&heHz?+)G3|-

delta 149
zcmZ3>w3cato&{@OfnGu8l-em8JuG>Nxv5inn1I|Kw%q)b(i|XNxv5in*q}l^Y`OUDVfE|MX4p3
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TK~9NYT4s7_(ZnjdiLbo@B|0}D

diff --git a/docs/demo_examples/plot_tensors.rst b/docs/demo_examples/plot_tensors.rst
index 82db0d363..42b7d072e 100644
--- a/docs/demo_examples/plot_tensors.rst
+++ b/docs/demo_examples/plot_tensors.rst
@@ -55,7 +55,7 @@ notation::
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  0.085 seconds)
+   **Total running time of the script:** ( 0 minutes  0.109 seconds)
 
 
 .. _sphx_glr_download_demo_examples_plot_tensors.py:
diff --git a/docs/demo_examples/sg_execution_times.rst b/docs/demo_examples/sg_execution_times.rst
index f152518bf..3905bea26 100644
--- a/docs/demo_examples/sg_execution_times.rst
+++ b/docs/demo_examples/sg_execution_times.rst
@@ -5,17 +5,17 @@
 
 Computation times
 =================
-**00:11.422** total execution time for **demo_examples** files:
+**00:15.992** total execution time for **demo_examples** files:
 
-- **00:04.513**: :ref:`sphx_glr_demo_examples_plot_cahn_hilliard.py` (``plot_cahn_hilliard.py``)
-- **00:03.525**: :ref:`sphx_glr_demo_examples_plot_slicer_demo.py` (``plot_slicer_demo.py``)
-- **00:01.081**: :ref:`sphx_glr_demo_examples_plot_streamThickness.py` (``plot_streamThickness.py``)
-- **00:00.998**: :ref:`sphx_glr_demo_examples_plot_dc_resistivity.py` (``plot_dc_resistivity.py``)
-- **00:00.265**: :ref:`sphx_glr_demo_examples_plot_image.py` (``plot_image.py``)
-- **00:00.255**: :ref:`sphx_glr_demo_examples_plot_cyl_mirror.py` (``plot_cyl_mirror.py``)
-- **00:00.185**: :ref:`sphx_glr_demo_examples_plot_3D_cyl.py` (``plot_3D_cyl.py``)
-- **00:00.163**: :ref:`sphx_glr_demo_examples_plot_mesh_types.py` (``plot_mesh_types.py``)
-- **00:00.153**: :ref:`sphx_glr_demo_examples_plot_quadtree_divergence.py` (``plot_quadtree_divergence.py``)
-- **00:00.101**: :ref:`sphx_glr_demo_examples_plot_quadtree_hanging.py` (``plot_quadtree_hanging.py``)
-- **00:00.099**: :ref:`sphx_glr_demo_examples_plot_quadtree_refine.py` (``plot_quadtree_refine.py``)
-- **00:00.085**: :ref:`sphx_glr_demo_examples_plot_tensors.py` (``plot_tensors.py``)
+- **00:07.334**: :ref:`sphx_glr_demo_examples_plot_cahn_hilliard.py` (``plot_cahn_hilliard.py``)
+- **00:03.066**: :ref:`sphx_glr_demo_examples_plot_slicer_demo.py` (``plot_slicer_demo.py``)
+- **00:01.819**: :ref:`sphx_glr_demo_examples_plot_streamThickness.py` (``plot_streamThickness.py``)
+- **00:01.694**: :ref:`sphx_glr_demo_examples_plot_dc_resistivity.py` (``plot_dc_resistivity.py``)
+- **00:00.457**: :ref:`sphx_glr_demo_examples_plot_cyl_mirror.py` (``plot_cyl_mirror.py``)
+- **00:00.440**: :ref:`sphx_glr_demo_examples_plot_image.py` (``plot_image.py``)
+- **00:00.298**: :ref:`sphx_glr_demo_examples_plot_3D_cyl.py` (``plot_3D_cyl.py``)
+- **00:00.268**: :ref:`sphx_glr_demo_examples_plot_mesh_types.py` (``plot_mesh_types.py``)
+- **00:00.238**: :ref:`sphx_glr_demo_examples_plot_quadtree_divergence.py` (``plot_quadtree_divergence.py``)
+- **00:00.142**: :ref:`sphx_glr_demo_examples_plot_quadtree_hanging.py` (``plot_quadtree_hanging.py``)
+- **00:00.126**: :ref:`sphx_glr_demo_examples_plot_quadtree_refine.py` (``plot_quadtree_refine.py``)
+- **00:00.109**: :ref:`sphx_glr_demo_examples_plot_tensors.py` (``plot_tensors.py``)
diff --git a/tutorial_examples/mesh_generation/README.txt b/tutorial_examples/mesh_generation/README.txt
index c971bc440..f25c71c6a 100644
--- a/tutorial_examples/mesh_generation/README.txt
+++ b/tutorial_examples/mesh_generation/README.txt
@@ -9,6 +9,7 @@ Landing page for mesh generation tutorials
     :maxdepth: 2
     :hidden:
 
+    tutorials/mesh_generation/mesh_overview
     tutorials/mesh_generation/tensor_mesh
     tutorials/mesh_generation/cylindrical_mesh
     tutorials/mesh_generation/tree_mesh
diff --git a/tutorial_examples/mesh_generation/cylindrical_mesh.py b/tutorial_examples/mesh_generation/cylindrical_mesh.py
index 3c7ba15af..f5c3407f2 100644
--- a/tutorial_examples/mesh_generation/cylindrical_mesh.py
+++ b/tutorial_examples/mesh_generation/cylindrical_mesh.py
@@ -2,8 +2,146 @@
 Cylindrical meshes
 ==================
 
-Cylindrical meshes are variation on the tensor mesh. The are still defined by
-a vector in each dimension, but those dimensions are now in cylindrical,
-rather than cartesian coordinates.
+Cylindrical meshes (:class:`~discretize.CylMesh`) are defined in terms of *r*
+(radial position), *z* (vertical position) and *phi* (azimuthal position).
+They are a child class of the tensor mesh class. Cylindrical meshes are useful
+in solving differential equations that possess rotational symmetry. Here we
+demonstrate:
+
+    - How to create basic cylindrical meshes
+    - How to include padding cells
+    - How to plot cylindrical meshes
+    - How to extract properties from meshes
+    - How to create cylindrical meshes to solve PDEs with rotational symmetry
 
 """
+
+###############################################
+#
+# Import Packages
+# ---------------
+#
+# Here we import the packages required for this tutorial.
+#
+
+from discretize import CylMesh
+import numpy as np
+
+###############################################
+# Basic Example
+# -------------
+#
+# The easiest way to define a cylindrical mesh is to define the cell widths in
+# *r*, *phi* and *z* as 1D numpy arrays. And to provide a Cartesian position
+# for the bottom of the vertical axis of symmetry of the mesh. Note that
+#
+#    1. *phi* is in radians
+#    2. The sum of values in the numpy array for *phi* cannot exceed
+#    :math:`2\pi`
+
+ncr = 10     # number of mesh cells in r
+ncp = 8      # number of mesh cells in phi
+ncz = 15     # number of mesh cells in z
+dr = 15      # cell width r
+dz = 10      # cell width z
+
+hr = dr*np.ones(ncr)
+hp = (2*np.pi/ncp)*np.ones(ncp)
+hz = dz*np.ones(ncz)
+
+x0 = 0.
+y0 = 0.
+z0 = -150.
+
+mesh = CylMesh([hr, hp, hz], x0=[x0, y0, z0])
+
+mesh.plotGrid()
+
+
+###############################################
+# Padding Cells and Extracting Properties
+# ---------------------------------------
+#
+# For practical purposes, the user may want to define a region where the cell
+# widths are increasing/decreasing in size. For example, padding is often used
+# to define a large domain while reducing the total number of mesh cells.
+# Here we demonstrate how to create cylindrical meshes that have padding cells.
+# We then show some properties that can be extracted from cylindrical meshes.
+
+ncr = 10              # number of mesh cells in r
+ncp = 8               # number of mesh cells in phi
+ncz = 15              # number of mesh cells in z
+dr = 15               # cell width r
+dp = 2*np.pi/ncp      # cell width phi
+dz = 10               # cell width z
+npad_r = 4            # number of padding cells in r
+npad_z = 4            # number of padding cells in z
+exp_r = 1.25          # expansion rate of padding cells in r
+exp_z = 1.25          # expansion rate of padding cells in z
+
+# Use a list of tuples to define cell widths in each direction. Each tuple
+# contains the cell with, number of cells and the expansion factor (+ve/-ve).
+hr = [(dr, ncr), (dr, npad_r, exp_r)]
+hp = [(dp, ncp)]
+hz = [(dz, npad_z, -exp_z), (dz, ncz), (dz, npad_z, exp_z)]
+
+# We can use flags 'C', '0' and 'N' to define the xyz position of the mesh.
+mesh = CylMesh([hr, hp, hz], x0='00C')
+
+mesh.plotGrid()
+
+# The bottom end of the vertical axis of rotational symmetry
+x0 = mesh.x0
+
+# The total number of cells
+nC = mesh.nC
+
+# An (nC, 3) array containing the cell-center locations
+cc = mesh.gridCC
+
+# The cell volumes
+v = mesh.vol
+
+###############################################
+# Cylindrical Mesh for Rotational Symmetry
+# ----------------------------------------
+#
+# Cylindrical mesh are most useful when solving problems with perfect
+# rotational symmetry. More precisely when:
+#
+#    - field components in the *phi* direction are 0
+#    - fluxes in *r* and *z* are 0
+#
+# In this case, the size of the forward problem can be significantly reduced.
+# Here we demonstrate how to create a mesh for solving differential equations
+# with perfect rotational symmetry. Since the fields and fluxes are independent
+# of the phi position, there will be no need to discretize along the phi
+# direction.
+
+ncr = 10              # number of mesh cells in r
+ncz = 15              # number of mesh cells in z
+dr = 15               # cell width r
+dz = 10               # cell width z
+npad_r = 4            # number of padding cells in r
+npad_z = 4            # number of padding cells in z
+exp_r = 1.25          # expansion rate of padding cells in r
+exp_z = 1.25          # expansion rate of padding cells in z
+
+hr = [(dr, ncr), (dr, npad_r, exp_r)]
+hz = [(dz, npad_z, -exp_z), (dz, ncz), (dz, npad_z, exp_z)]
+
+# A value of 1 is used to define the discretization in phi for this case.
+mesh = CylMesh([hr, 1, hz], x0='00C')
+
+# The bottom end of the vertical axis of rotational symmetry
+x0 = mesh.x0
+
+# The total number of cells
+nC = mesh.nC
+
+# An (nC, 3) array containing the cell-center locations
+cc = mesh.gridCC
+
+# The cell volumes
+v = mesh.vol
+mesh.plotImage(v, grid=True)
diff --git a/tutorial_examples/mesh_generation/mesh_overview.py b/tutorial_examples/mesh_generation/mesh_overview.py
new file mode 100644
index 000000000..d14f0b40b
--- /dev/null
+++ b/tutorial_examples/mesh_generation/mesh_overview.py
@@ -0,0 +1,102 @@
+"""
+Overview of Mesh Types
+======================
+
+`discretize` provides a numerical grid on which to solve differential
+equations. Each mesh type has a similar API to make switching between
+different meshes relatively simple. Within `discretize`, all meshes are
+classes that have properties like the number of cells `nC`, and methods,
+like `plotGrid`.
+
+Here we provide an overview of mesh types and define some terminology.
+Separate tutorials have been provided for each mesh type.
+
+"""
+
+import numpy as np
+import discretize
+import matplotlib.pyplot as plt
+
+###############################################################################
+# General Categories of Meshes
+# ----------------------------
+#
+# The three main types of meshes in discretize are
+#
+#   - **Tensor meshes** (:class:`discretize.TensorMesh`); which includes
+#   **cylindrical meshes** (:class:`discretize.CylMesh`)
+#   - **Tree meshes** (:class:`discretize.TreeMesh`): also referred to as
+#   QuadTree or OcTree meshes
+#   - **Curvilinear meshes** (:class:`discretize.CurviMesh`): also referred to
+#   as logically rectangular
+#
+# Examples for each mesh type are shown below.
+
+ncx = 16  # number of cells in the x-direction
+ncy = 16  # number of cells in the y-direction
+
+# create a tensor mesh
+tensor_mesh = discretize.TensorMesh([ncx, ncy])
+
+# create a tree mesh and refine some of the cells
+tree_mesh = discretize.TreeMesh([ncx, ncy])
+
+def refine(cell):
+    if np.sqrt(((np.r_[cell.center]-0.5)**2).sum()) < 0.2:
+        return 4
+    return 2
+
+tree_mesh.refine(refine)
+
+# create a curvilinear mesh
+curvi_mesh = discretize.CurvilinearMesh(
+    discretize.utils.exampleLrmGrid([ncx, ncy], 'rotate')
+)
+
+# Plot
+fig, axes = plt.subplots(1, 3, figsize=(14, 4))
+tensor_mesh.plotGrid(ax=axes[0])
+axes[0].set_title('TensorMesh')
+
+tree_mesh.plotGrid(ax=axes[1])
+axes[1].set_title('TreeMesh')
+
+curvi_mesh.plotGrid(ax=axes[2])
+axes[2].set_title('CurvilinearMesh')
+
+###############################################################################
+# Variable Locations and Terminology
+# ----------------------------------
+#
+# When solving differential equations on a numerical grid, variables can be
+# defined on:
+#
+#    - nodes
+#    - cell centers
+#    - cell faces
+#    - cell edges
+#
+# Below we show an example for a 2D tensor mesh.
+
+hx = np.r_[3, 1, 1, 3]
+hy = np.r_[3, 2, 1, 1, 1, 1, 2, 3]
+tensor_mesh2 = discretize.TensorMesh([hx, hy])
+
+# Plot
+fig, axes2 = plt.subplots(1, 3, figsize=(14, 5))
+tensor_mesh2.plotGrid(ax=axes2[0], nodes=True, centers=True)
+axes2[0].legend(('Nodes', 'Centers'))
+axes2[0].set_title('Nodes and cell centers')
+
+tensor_mesh2.plotGrid(ax=axes2[1], edges=True)
+axes2[1].legend(('X-edges', 'Y-edges'))
+axes2[1].set_title('Cell edges')
+
+tensor_mesh2.plotGrid(ax=axes2[2], faces=True)
+axes2[2].legend(('X-faces', 'Y-faces'))
+axes2[2].set_title('Cell faces')
+
+# Note that we define X-edges as being edges that lie parallel to the x-axis.
+# And we define X-faces as being faces whose normal lies parallel to the
+# axis. In 3D, the difference between edges and faces is more obvious.
+
diff --git a/tutorial_examples/mesh_generation/tensor_mesh.py b/tutorial_examples/mesh_generation/tensor_mesh.py
index 81c4efe59..640d58bf4 100644
--- a/tutorial_examples/mesh_generation/tensor_mesh.py
+++ b/tutorial_examples/mesh_generation/tensor_mesh.py
@@ -14,10 +14,10 @@
 """
 
 ###############################################
-# 
+#
 # Import Packages
 # ---------------
-# 
+#
 # Here we import the packages required for this tutorial.
 #
 
@@ -43,7 +43,7 @@
 x0 = 0
 y0 = -150
 
-mesh = TensorMesh([hx, hy],x0=[x0, y0])
+mesh = TensorMesh([hx, hy], x0=[x0, y0])
 
 mesh.plotGrid()
 
@@ -51,21 +51,21 @@
 ###############################################
 # Padding Cells
 # -------------
-# 
+#
 # For practical purposes, the user may want to define a region where the cell
 # widths are increasing/decreasing in size. For example, padding is often used
 # to define a large domain while reducing the total number of mesh cells.
 # Here we demonstrate how to create tensor meshes that have padding cells.
 #
 
-ncx = 10     # number of core mesh cells in x
-ncy = 15     # number of core mesh cells in y
-dx = 15      # base cell width x
-dy = 10      # base cell width y
-npad_x = 4   # number of padding cells in x
-npad_y = 4   # number of padding cells in y
-exp_x = 1.25 # expansion rate of padding cells in x
-exp_y = 1.25 # expansion rate of padding cells in y
+ncx = 10      # number of core mesh cells in x
+ncy = 15      # number of core mesh cells in y
+dx = 15       # base cell width x
+dy = 10       # base cell width y
+npad_x = 4    # number of padding cells in x
+npad_y = 4    # number of padding cells in y
+exp_x = 1.25  # expansion rate of padding cells in x
+exp_y = 1.25  # expansion rate of padding cells in y
 
 # Use a list of tuples to define cell widths in each direction. Each tuple
 # contains the cell with, number of cells and the expansion factor (+ve/-ve).
@@ -73,33 +73,31 @@
 hy = [(dy, npad_y, -exp_y), (dy, ncy), (dy, npad_y, exp_y)]
 
 # We can use flags 'C', '0' and 'N' to define the xyz position of the mesh.
-mesh = TensorMesh([hx, hy],x0='CN')
+mesh = TensorMesh([hx, hy], x0='CN')
 
 mesh.plotGrid()
 
 ###############################################
 # Extracting Mesh Properties
 # --------------------------
-# 
+#
 # Once the mesh is created, you may want to extract certain properties. Here,
 # we show some properties that can be extracted from 2D meshes.
 #
 
-ncx = 10     # number of core mesh cells in x
-ncy = 15     # number of core mesh cells in y
-dx = 15      # base cell width x
-dy = 10      # base cell width y
-npad_x = 4   # number of padding cells in x
-npad_y = 4   # number of padding cells in y
-exp_x = 1.25 # expansion rate of padding cells in x
-exp_y = 1.25 # expansion rate of padding cells in y
+ncx = 10      # number of core mesh cells in x
+ncy = 15      # number of core mesh cells in y
+dx = 15       # base cell width x
+dy = 10       # base cell width y
+npad_x = 4    # number of padding cells in x
+npad_y = 4    # number of padding cells in y
+exp_x = 1.25  # expansion rate of padding cells in x
+exp_y = 1.25  # expansion rate of padding cells in y
 
 hx = [(dx, npad_x, -exp_x), (dx, ncx), (dx, npad_x, exp_x)]
 hy = [(dy, npad_y, -exp_y), (dy, ncy), (dy, npad_y, exp_y)]
 
-mesh = TensorMesh([hx, hy],x0='C0')
-
-# EXTRACTING SOME PROPERTIES
+mesh = TensorMesh([hx, hy], x0='C0')
 
 # The bottom west corner
 x0 = mesh.x0
@@ -120,7 +118,7 @@
 ###############################################
 # 3D Example
 # ----------
-# 
+#
 # Here we show how the same approach can be used to create and extract
 # properties from a 3D tensor mesh.
 #
@@ -131,7 +129,7 @@
 exp = 1.25   # expansion rate of padding cells
 
 h = [(dh, npad, -exp), (dh, nc), (dh, npad, exp)]
-mesh = TensorMesh([h, h, h],x0='C00')
+mesh = TensorMesh([h, h, h], x0='C00')
 
 # The bottom southwest corner
 x0 = mesh.x0
@@ -149,5 +147,3 @@
 v = mesh.vol
 
 mesh.plotImage(v, grid=True)
-
-
diff --git a/tutorial_examples/mesh_generation/tree_mesh.py b/tutorial_examples/mesh_generation/tree_mesh.py
index ed292feda..ea1c21262 100644
--- a/tutorial_examples/mesh_generation/tree_mesh.py
+++ b/tutorial_examples/mesh_generation/tree_mesh.py
@@ -18,16 +18,19 @@
 creating tree meshes, we must remember certain rules:
 
     - The number of base mesh cells in x, y and z must all be powers of 2
-    - We cannot refine the mesh to create cells smaller than those defining the base mesh
-    - The range of cell sizes in the tree mesh depends on the number of base mesh cells in x, y and z
+    - We cannot refine the mesh to create cells smaller than those defining the
+    base mesh
+    - The range of cell sizes in the tree mesh depends on the number of base
+    mesh cells in x, y and z
+
 
 """
 
 ###############################################
-# 
+#
 # Import Packages
 # ---------------
-# 
+#
 # Here we import the packages required for this tutorial.
 #
 
@@ -39,10 +42,13 @@
 # Basic Example
 # -------------
 #
-# sd sd asdf asdfasdfas
+# Here we demonstrate the basic two step process for creating a 2D tree mesh
+# (QuadTree mesh). The region of highest discretization if defined within a
+# rectangular box.
+#
 
-dh = 5   # minimum cell width (base mesh cell width)
-nbc = 64 # number of base mesh cells in x
+dh = 5    # minimum cell width (base mesh cell width)
+nbc = 64  # number of base mesh cells in x
 
 # Define base mesh
 h = dh*np.ones(nbc)
@@ -52,11 +58,10 @@
 xy = np.c_[matutils.mkvc(xp), matutils.mkvc(yp)]
 
 # Discretize to finest cell size within rectangular region
-# mesh = meshutils.refine_tree_xyz(mesh, xy, 
-#     octree_levels=[2, 2], 
-#     method='box', finalize=False)
+# mesh = meshutils.refine_tree_xyz(mesh, xy, octree_levels=[2, 2],
+#                                  method='box', finalize=False)
 
-mesh.finalize()
+mesh.finalize()  # Must finalize tree mesh before use
 
 mesh.plotGrid(showIt=True)
 
@@ -65,7 +70,10 @@
 # Intermediate Example
 # --------------------
 #
-# Points-based refinement and shift mesh
+# The widths of the base mesh cells do not need to be the same in x and y but
+# the number of base mesh cells in x and y does need to be a power of 2. Here
+# we show a method for mesh refinement which discretizes more finely around a
+# set of points. This is usedful for discretizing surface topography.
 
 dx = 5    # minimum cell width (base mesh cell width) in x
 dy = 5    # minimum cell width (base mesh cell width) in y
@@ -86,26 +94,25 @@
 xx = mesh.vectorNx
 yy = -3*np.exp((xx**2) / 100**2) + 50.
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-# mesh = meshutils.refine_tree_xyz(mesh, pts, 
-#     octree_levels=[2,2], 
-#     method='radial', finalize=False)
+# mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2,2],
+#                                  method='radial', finalize=False)
 
 # Refine polygon
 xx = np.array([0., 10., 0., -10.])
 yy = np.array([-20., -10., 0., -10])
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-# mesh = meshutils.refine_tree_xyz(mesh, pts, 
-#     octree_levels=[2, 2], 
-#     method='radial', finalize=False)
+# mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2, 2],
+#                                  method='radial', finalize=False)
 
 mesh.finalize()
 mesh.plotGrid(showIt=True)
 
 ####################################################
-# Extracting Mesh Properties and Polygon Refinement
-# -------------------------------------------------
+# Extracting Mesh Properties
+# --------------------------
 #
-# dsfasdfsadfas
+# Once the mesh is created, you may want to extract certain properties. Here,
+# we show some properties that can be extracted from a QuadTree mesh.
 
 dx = 5    # minimum cell width (base mesh cell width) in x
 dy = 5    # minimum cell width (base mesh cell width) in y
@@ -126,22 +133,18 @@
 xx = mesh.vectorNx
 yy = -3*np.exp((xx**2) / 100**2) + 50.
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-# mesh = meshutils.refine_tree_xyz(mesh, pts, 
-#     octree_levels=[2,2], 
-#     method='radial', finalize=False)
+# mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2,2],
+#                                  method='radial', finalize=False)
 
 # Refine polygon
 xx = np.array([0., 10., 0., -10.])
 yy = np.array([-20., -10., 0., -10])
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-# mesh = meshutils.refine_tree_xyz(mesh, pts, 
-#     octree_levels=[2, 2], 
-#     method='radial', finalize=False)
+# mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2, 2],
+#                                  method='radial', finalize=False)
 
 mesh.finalize()
 
-# EXTRACTING SOME PROPERTIES
-
 # The bottom west corner
 x0 = mesh.x0
 
@@ -170,7 +173,7 @@
 dy = 5    # minimum cell width (base mesh cell width) in y
 dz = 5    # minimum cell width (base mesh cell width) in z
 
-x_length = 300.    # domain width in x
+x_length = 300.     # domain width in x
 y_length = 300.     # domain width in y
 z_length = 300.     # domain width in y
 
@@ -189,22 +192,18 @@
 [xx, yy] = np.meshgrid(mesh.vectorNx, mesh.vectorNy)
 zz = -3*np.exp((xx**2 + yy**2) / 100**2) + 50.
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy), matutils.mkvc(zz)]
-mesh = meshutils.refine_tree_xyz(mesh, pts, 
-    octree_levels=[2, 2], 
-    method='radial', finalize=False)
+mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2, 2],
+                                 method='radial', finalize=False)
 
 # Refine box
 xp, yp, zp = np.meshgrid([-40., 40.], [-40., 40.], [-60., 0.])
 xyz = np.c_[matutils.mkvc(xp), matutils.mkvc(yp), matutils.mkvc(zp)]
 
-# mesh = meshutils.refine_tree_xyz(mesh, xyz, 
-#     octree_levels=[2, 2], 
-#     method='box', finalize=False)
+# mesh = meshutils.refine_tree_xyz(mesh, xyz, octree_levels=[2, 2],
+#                                  method='box', finalize=False)
 
 mesh.finalize()
 
-# EXTRACTING SOME PROPERTIES
-
 # The bottom west corner
 x0 = mesh.x0
 
@@ -220,5 +219,3 @@
 # The cell areas (2D "volume")
 s = mesh.vol
 # mesh.plotSlice(s, normal='Y', ind=int(mesh.hy.size/2), grid=True)
-
-
diff --git a/tutorial_examples/old/mesh_overview_old.py b/tutorial_examples/old/mesh_overview_old.py
deleted file mode 100644
index 60f8b5e58..000000000
--- a/tutorial_examples/old/mesh_overview_old.py
+++ /dev/null
@@ -1,144 +0,0 @@
-"""
-Overview of mesh types
-======================
-
-`discretize` provides a numerical grid on which to solve
-differential equations. Each mesh type has a similar API to make switching
-between different meshes relatively simple.
-
-Within `discretize`, all meshes are classes that have properties like the
-number of cells `nC`, and methods, like `plotGrid`.
-
-"""
-
-import numpy as np
-import discretize
-import matplotlib.pyplot as plt
-
-###############################################################################
-# General categories of meshes
-# ----------------------------
-#
-# The three main types of meshes in discretize are
-#   - TensorMesh (:class:`discretize.TensorMesh`): includes cylindrical meshes (:class:`discretize.CylMesh`)
-#   - TreeMesh (:class:`discretize.TreeMesh`): also referred to as QuadTree or OcTree meshes
-#   - CurvilinearMesh (:class:`discretize.CurviMesh`): also referred to as logically rectangular
-
-ncx = 16  # number of cells in the x-direction
-ncy = 16  # number of cells in the y-direction
-
-# create a tensor mesh
-tensor_mesh = discretize.TensorMesh([ncx, ncy])
-
-# create a tree mesh and refine some of the cells
-tree_mesh = discretize.TreeMesh([ncx, ncy])
-
-def refine(cell):
-    if np.sqrt(((np.r_[cell.center]-0.5)**2).sum()) < 0.4:
-        return 4
-    return 3
-
-tree_mesh.refine(refine)
-
-
-# create a tree mesh and refine some of the cells
-curvi_mesh = discretize.CurvilinearMesh(
-    discretize.utils.exampleLrmGrid([ncx, ncy], 'rotate')
-)
-
-
-fig, axes = plt.subplots(1, 3, figsize=(14, 5))
-tensor_mesh.plotGrid(ax=axes[0])
-axes[0].set_title('TensorMesh')
-
-tree_mesh.plotGrid(ax=axes[1])
-axes[1].set_title('TreeMesh')
-
-curvi_mesh.plotGrid(ax=axes[2])
-axes[2].set_title('CurvilinearMesh')
-
-###############################################################################
-# Variable Locations and Terminology
-# ----------------------------------
-# We will go over the basics of using a TensorMesh, but these skills are
-# transferable to the other meshes available in discretize.
-#
-# To create a TensorMesh we need to create mesh tensors, the widths of
-# each cell of the mesh in each dimension. We will call these tensors h,
-# and these will be define the constant widths of cells in each dimension
-# of the TensorMesh.
-
-hx = np.r_[3,2,1,1,1,1,2,3]
-hy = np.r_[3,1,1,3]
-tensor_mesh2 = discretize.TensorMesh([hx, hy])
-tensor_mesh2.plotGrid(faces=True, nodes=True)
-plt.title('Cell faces in the x- and y-directions.')
-plt.legend(('Nodes', 'X-Faces', 'Y-Faces'))
-
-###############################################################################
-# How many of each?
-# ^^^^^^^^^^^^^^^^^
-#
-# When making variables that live in each of these locations, it is
-# important to know how many of each variable type you are dealing with.
-# discretize makes this pretty easy:
-
-print(tensor_mesh2)
-
-###############################################################################
-#
-
-count = {
-    'n_cells': tensor_mesh2.nC,
-    'n_cells_x_dir': tensor_mesh2.nCx,
-    'n_cells_y_dir': tensor_mesh2.nCy,
-    'n_cells_vector': tensor_mesh2.vnC
-}
-
-print(
-    "This mesh has {n_cells} which is {n_cells_x_dir} * {n_cells_y_dir}!!".format(
-        **count
-    )
-)
-
-###############################################################################
-#
-
-print(count)
-
-###############################################################################
-# `discretize` also counts the nodes, faces, and edges.
-#
-#   - Nodes: `mesh.nN`, `mesh.nNx`, `mesh.nNy`, `mesh.nNz`, `mesh.vnN`
-#   - Faces: `mesh.nF`, `mesh.nFx`, `mesh.nFy`, `mesh.nFz`, `mesh.vnF`, `mesh.vnFx`, `mesh.vnFy`, `mesh.vnFz`
-#   - Edges: `mesh.nE`, `mesh.nEx`, `mesh.nEy`, `mesh.nEz`, `mesh.vnE`, `mesh.vnEx`, `mesh.vnEy`, `mesh.vnEz`
-#
-# Face and edge variables have different counts depending on
-# the dimension of the direction that you are interested in.
-# In a 4x5 mesh, for example, there is a 5x5 grid of x-faces,
-# and a 4x6 grid of y-faces. You can count them below!
-# As such, the vnF(x,y,z) and vnE(x,y,z) properties give the
-# vector grid size.
-
-discretize.TensorMesh([4,5]).plotGrid(faces=True)
-
-###############################################################################
-# Making Tensors
-# --------------
-#
-# For tensor meshes, there are some additional functions that can come
-# in handy. For example, creating mesh tensors can be a bit time
-# consuming, these can be created speedily by just giving numbers
-# and sizes of padding. See the example below, that follows this
-# notation::
-#
-#     h = (
-#           (cell_size, n_pad, [, increase_factor]),
-#           (cell_size, n_core),
-#           (cell_size, n_pad, [, increase_factor])
-#         )
-#
-
-h = [(10, 5, -1.3), (5, 20), (10, 3, 1.3)]
-mesh = discretize.TensorMesh([h, h])
-mesh.plotGrid(showIt=True)
diff --git a/tutorial_examples/old/tensor_mesh_old.py b/tutorial_examples/old/tensor_mesh_old.py
deleted file mode 100644
index c6abd7401..000000000
--- a/tutorial_examples/old/tensor_mesh_old.py
+++ /dev/null
@@ -1,96 +0,0 @@
-"""
-Tensor meshes
-=============
-
-Tensor meshes (:class:`~discretize.TensorMesh`) are defined by a vectors of
-cell widths in each dimension. They can be defined in 1, 2, or 3 dimensions.
-"""
-
-import numpy as np
-import discretize
-
-###############################################################################
-# In the simplest case, you can instantiate a tensor mesh by providing the
-# number of cells in each dimension. This assumes that the extent of each
-# dimension is unity.
-
-ncx = 16
-ncy = 16
-tensor_mesh = discretize.TensorMesh([ncx, ncy])
-
-tensor_mesh.plotGrid()
-
-###############################################################################
-# If instead, you want a mesh that has 16 cells in each dimension and the width
-# of each cell is 1 (so that the extent of the domain is 16), you can instead
-# specify the vector of cell widths.
-
-hx2 = np.ones(ncx)
-hy2 = np.ones(ncy)
-tensor_mesh2 = discretize.TensorMesh([hx2, hy2])
-
-tensor_mesh2.plotGrid()
-
-###############################################################################
-# In one lin, the above mesh can be specified by providing tuples to TensorMesh
-# (cell_size, number_of_cells)
-
-cell_size = 1
-tensor_mesh2b = discretize.TensorMesh([
-    [(cell_size, ncx)],  # hx
-    [(cell_size, ncy)]  # hy
-])
-
-###############################################################################
-# The widths of the cells can be variable. For example when solving problems
-# in electromagnetics, it is necessary to add "padding cells" which expand
-# near the boundary so that we satisfy the boundary conditions
-
-n_padding_cells = 4
-padding_factor = 1.3
-h_padding = padding_factor * np.arange(n_padding_cells)
-h_core = np.ones(ncx)
-
-hx3 = np.hstack([np.flipud(h_padding), h_core, h_padding])
-hy3 = hx3
-
-tensor_mesh3 = discretize.TensorMesh([hx3, hy3])
-
-tensor_mesh3.plotGrid()
-
-###############################################################################
-# Since it is common to include padding in meshes for numerical simulations,
-# we simplify the above steps by allowing you to provide a list of tuples
-# describing parts of the mesh. When there is a third number in the tuple, it
-# refers to the factor by which we increase the cell size. If the number is
-# negative, the tensor is flipped so that the widest cells are first.
-
-hx4 = [
-    (cell_size, n_padding_cells, -padding_factor),  # padding on the left
-    (cell_size, ncx),  # core part of the mesh (uniform cells)
-    (cell_size, n_padding_cells, padding_factor),  # padding on the right
-]
-hy4 = hx4
-tensor_mesh4 = discretize.TensorMesh([hx4, hy4])
-
-tensor_mesh4.plotGrid()
-
-###############################################################################
-# The origin of the mesh can be moved by assigning the `x0` variable. When a
-# mesh is instantiated, the `x0` can be provided as a keyword. Alternatively,
-# it can be set by setting the `x0` property after a mesh has been created.
-# Here, we will position the origin in the center of the mesh created in the
-# previous step.
-
-x0 = [-tensor_mesh4.hx.sum()/2, -tensor_mesh4.hy.sum()/2]
-tensor_mesh4.x0 = x0
-
-tensor_mesh4.plotGrid()
-
-###############################################################################
-# The above is equivalent to passing `x0='CC'` which states that you want both
-# the x and y directions of the mesh to be centered. A 'N'
-# will make the entire mesh negative, and a '0' (or a 0) will
-# make the mesh start at zero.
-
-tensor_mesh4b = discretize.TensorMesh([hx4, hx4], x0='CC').plotGrid()

From ba9a189973ff4c6a22ace730b82b1d322725e052 Mon Sep 17 00:00:00 2001
From: Devin Cowan 
Date: Wed, 1 May 2019 15:33:44 -0700
Subject: [PATCH 10/16] More edits and regeneration of examples

---
 .../plot_cahn_hilliard_codeobj.pickle         | Bin 819 -> 819 bytes
 .../plot_cyl_mirror_codeobj.pickle            | Bin 697 -> 697 bytes
 .../plot_dc_resistivity_codeobj.pickle        | Bin 820 -> 820 bytes
 docs/demo_examples/plot_image_codeobj.pickle  | Bin 586 -> 586 bytes
 .../plot_mesh_types_codeobj.pickle            | Bin 577 -> 577 bytes
 .../plot_quadtree_divergence_codeobj.pickle   | Bin 313 -> 313 bytes
 .../plot_quadtree_hanging_codeobj.pickle      | Bin 270 -> 270 bytes
 .../plot_quadtree_refine_codeobj.pickle       | Bin 301 -> 301 bytes
 .../plot_slicer_demo_codeobj.pickle           | Bin 853 -> 853 bytes
 .../plot_streamThickness_codeobj.pickle       | Bin 310 -> 310 bytes
 tutorial_examples/mesh_generation/README.txt  |  16 ++++++------
 .../mesh_generation/mesh_overview.py          |  23 ++++++------------
 .../mesh_generation/tensor_mesh.py            |   2 ++
 .../mesh_generation/tree_mesh.py              |   6 ++---
 14 files changed, 20 insertions(+), 27 deletions(-)

diff --git a/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle b/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle
index 222c76de4db7017041719a0781e6f56ae34f02ab..f9f826c4c47855cef8817f5831243bb99f880e5c 100644
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diff --git a/docs/demo_examples/plot_mesh_types_codeobj.pickle b/docs/demo_examples/plot_mesh_types_codeobj.pickle
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zcmdnSw2f(ko&#rIfnG*&Nn&#Ll-em8JuG>Nxv5in*q}l^Y`OU
Date: Wed, 1 May 2019 16:52:10 -0700
Subject: [PATCH 11/16] Fix errors in plot_3d_slicer example and tree_mesh
 tutorial

---
 discretize/View.py                            |   7 ++--
 docs/demo_examples/demo_examples_jupyter.zip  | Bin 40441 -> 40441 bytes
 docs/demo_examples/demo_examples_python.zip   | Bin 25246 -> 25246 bytes
 docs/demo_examples/plot_3D_cyl_codeobj.pickle | Bin 196 -> 196 bytes
 .../plot_cahn_hilliard_codeobj.pickle         | Bin 819 -> 819 bytes
 .../plot_cyl_mirror_codeobj.pickle            | Bin 697 -> 697 bytes
 .../plot_dc_resistivity_codeobj.pickle        | Bin 820 -> 820 bytes
 docs/demo_examples/plot_image_codeobj.pickle  | Bin 586 -> 586 bytes
 .../plot_mesh_types_codeobj.pickle            | Bin 577 -> 577 bytes
 .../plot_quadtree_divergence_codeobj.pickle   | Bin 313 -> 313 bytes
 .../plot_quadtree_hanging_codeobj.pickle      | Bin 270 -> 270 bytes
 .../plot_quadtree_refine_codeobj.pickle       | Bin 301 -> 301 bytes
 docs/demo_examples/plot_slicer_demo.rst       |   2 +-
 .../plot_slicer_demo_codeobj.pickle           | Bin 853 -> 853 bytes
 .../plot_streamThickness_codeobj.pickle       | Bin 310 -> 310 bytes
 .../demo_examples/plot_tensors_codeobj.pickle | Bin 202 -> 202 bytes
 docs/demo_examples/sg_execution_times.rst     |  26 +++++++--------
 .../mesh_generation/tree_mesh.py              |  30 ++++++++++--------
 18 files changed, 35 insertions(+), 30 deletions(-)

diff --git a/discretize/View.py b/discretize/View.py
index 0f934195d..6aa409384 100644
--- a/discretize/View.py
+++ b/discretize/View.py
@@ -737,7 +737,7 @@ def plotGrid(
     def plot_3d_slicer(self, v, xslice=None, yslice=None, zslice=None,
                        vType='CC', view='real', axis='xy', transparent=None,
                        clim=None, aspect='auto', grid=[2, 2, 1],
-                       pcolorOpts=None, fig=None):
+                       pcolorOpts=None, fig=None, showIt=False):
         """Plot slices of a 3D volume, interactively (scroll wheel).
 
         If called from a notebook, make sure to set
@@ -778,7 +778,10 @@ def plot_3d_slicer(self, v, xslice=None, yslice=None, zslice=None,
         fig.canvas.mpl_connect('scroll_event', tracker.onscroll)
 
         # Show figure
-        plt.show()
+        if showIt:
+            plt.show()
+
+        return fig
 
 
 class CylView(object):
diff --git a/docs/demo_examples/demo_examples_jupyter.zip b/docs/demo_examples/demo_examples_jupyter.zip
index a98fa8f9e398c7eae4cd72c8b1b0ad5e6c24b5bf..bdf980c94cbfbefbc6919331a425b9e8c4660c30 100644
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diff --git a/docs/demo_examples/plot_3D_cyl_codeobj.pickle b/docs/demo_examples/plot_3D_cyl_codeobj.pickle
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diff --git a/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle b/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle
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diff --git a/docs/demo_examples/plot_cyl_mirror_codeobj.pickle b/docs/demo_examples/plot_cyl_mirror_codeobj.pickle
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diff --git a/docs/demo_examples/plot_dc_resistivity_codeobj.pickle b/docs/demo_examples/plot_dc_resistivity_codeobj.pickle
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diff --git a/docs/demo_examples/plot_image_codeobj.pickle b/docs/demo_examples/plot_image_codeobj.pickle
index 93cee12f0c4e2ca7bfdd33dffd8dcf91d64d459b..d45f60f3123298a28217b1e6888443e7204c6e5e 100644
GIT binary patch
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delta 139
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z;el}Ci!<_zNNC^Muo}07+ojoD)42n_3%5F
W7L{e@WagzNPL^ksV9_is)dK*u9WLeo

diff --git a/docs/demo_examples/plot_quadtree_divergence_codeobj.pickle b/docs/demo_examples/plot_quadtree_divergence_codeobj.pickle
index 5df56e196afa00af644dd9a5b4644475070d9d66..bfcbd4c85d19b1a0302881696ff09b81f3fa3bb2 100644
GIT binary patch
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diff --git a/docs/demo_examples/plot_slicer_demo.rst b/docs/demo_examples/plot_slicer_demo.rst
index 9c90dff8f..fba4462ca 100644
--- a/docs/demo_examples/plot_slicer_demo.rst
+++ b/docs/demo_examples/plot_slicer_demo.rst
@@ -334,7 +334,7 @@ This way you get the figure-handle, and can do further stuff with the figure.
 
 .. rst-class:: sphx-glr-timing
 
-   **Total running time of the script:** ( 0 minutes  3.066 seconds)
+   **Total running time of the script:** ( 0 minutes  2.643 seconds)
 
 
 .. _sphx_glr_download_demo_examples_plot_slicer_demo.py:
diff --git a/docs/demo_examples/plot_slicer_demo_codeobj.pickle b/docs/demo_examples/plot_slicer_demo_codeobj.pickle
index 72ae05ade2315c3655ebc7d5090336f86d205a61..41839b67c4502aaadcd555159d34079f8223ef09 100644
GIT binary patch
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diff --git a/docs/demo_examples/plot_tensors_codeobj.pickle b/docs/demo_examples/plot_tensors_codeobj.pickle
index b54501111e35d2ee4798523f922fa2bab08eaf37..b1d8ceed654d3a184e1934c08e50a05800fadaa2 100644
GIT binary patch
delta 140
zcmX@bc#3g?UJOS;PKjP|Mt=E}+9?`6EP08!sZ)AbzydvNx%nxjIY7Q(ZemG6PJT&F
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diff --git a/docs/demo_examples/sg_execution_times.rst b/docs/demo_examples/sg_execution_times.rst
index 3905bea26..fc2bc9ebb 100644
--- a/docs/demo_examples/sg_execution_times.rst
+++ b/docs/demo_examples/sg_execution_times.rst
@@ -5,17 +5,17 @@
 
 Computation times
 =================
-**00:15.992** total execution time for **demo_examples** files:
+**00:02.643** total execution time for **demo_examples** files:
 
-- **00:07.334**: :ref:`sphx_glr_demo_examples_plot_cahn_hilliard.py` (``plot_cahn_hilliard.py``)
-- **00:03.066**: :ref:`sphx_glr_demo_examples_plot_slicer_demo.py` (``plot_slicer_demo.py``)
-- **00:01.819**: :ref:`sphx_glr_demo_examples_plot_streamThickness.py` (``plot_streamThickness.py``)
-- **00:01.694**: :ref:`sphx_glr_demo_examples_plot_dc_resistivity.py` (``plot_dc_resistivity.py``)
-- **00:00.457**: :ref:`sphx_glr_demo_examples_plot_cyl_mirror.py` (``plot_cyl_mirror.py``)
-- **00:00.440**: :ref:`sphx_glr_demo_examples_plot_image.py` (``plot_image.py``)
-- **00:00.298**: :ref:`sphx_glr_demo_examples_plot_3D_cyl.py` (``plot_3D_cyl.py``)
-- **00:00.268**: :ref:`sphx_glr_demo_examples_plot_mesh_types.py` (``plot_mesh_types.py``)
-- **00:00.238**: :ref:`sphx_glr_demo_examples_plot_quadtree_divergence.py` (``plot_quadtree_divergence.py``)
-- **00:00.142**: :ref:`sphx_glr_demo_examples_plot_quadtree_hanging.py` (``plot_quadtree_hanging.py``)
-- **00:00.126**: :ref:`sphx_glr_demo_examples_plot_quadtree_refine.py` (``plot_quadtree_refine.py``)
-- **00:00.109**: :ref:`sphx_glr_demo_examples_plot_tensors.py` (``plot_tensors.py``)
+- **00:02.643**: :ref:`sphx_glr_demo_examples_plot_slicer_demo.py` (``plot_slicer_demo.py``)
+- **00:00.000**: :ref:`sphx_glr_demo_examples_plot_3D_cyl.py` (``plot_3D_cyl.py``)
+- **00:00.000**: :ref:`sphx_glr_demo_examples_plot_cahn_hilliard.py` (``plot_cahn_hilliard.py``)
+- **00:00.000**: :ref:`sphx_glr_demo_examples_plot_cyl_mirror.py` (``plot_cyl_mirror.py``)
+- **00:00.000**: :ref:`sphx_glr_demo_examples_plot_dc_resistivity.py` (``plot_dc_resistivity.py``)
+- **00:00.000**: :ref:`sphx_glr_demo_examples_plot_image.py` (``plot_image.py``)
+- **00:00.000**: :ref:`sphx_glr_demo_examples_plot_mesh_types.py` (``plot_mesh_types.py``)
+- **00:00.000**: :ref:`sphx_glr_demo_examples_plot_quadtree_divergence.py` (``plot_quadtree_divergence.py``)
+- **00:00.000**: :ref:`sphx_glr_demo_examples_plot_quadtree_hanging.py` (``plot_quadtree_hanging.py``)
+- **00:00.000**: :ref:`sphx_glr_demo_examples_plot_quadtree_refine.py` (``plot_quadtree_refine.py``)
+- **00:00.000**: :ref:`sphx_glr_demo_examples_plot_streamThickness.py` (``plot_streamThickness.py``)
+- **00:00.000**: :ref:`sphx_glr_demo_examples_plot_tensors.py` (``plot_tensors.py``)
diff --git a/tutorial_examples/mesh_generation/tree_mesh.py b/tutorial_examples/mesh_generation/tree_mesh.py
index 2f8f9e541..0b21a031c 100644
--- a/tutorial_examples/mesh_generation/tree_mesh.py
+++ b/tutorial_examples/mesh_generation/tree_mesh.py
@@ -38,6 +38,8 @@
 from discretize.utils import matutils, meshutils
 import numpy as np
 
+# sphinx_gallery_thumbnail_number = 3
+
 ###############################################
 # Basic Example
 # -------------
@@ -58,10 +60,10 @@
 xy = np.c_[matutils.mkvc(xp), matutils.mkvc(yp)]
 
 # Discretize to finest cell size within rectangular region
-mesh = meshutils.refine_tree_xyz(mesh, xy, octree_levels=[2, 2],
+mesh2 = meshutils.refine_tree_xyz(mesh, xy, octree_levels=[2, 2],
                                  method='box', finalize=False)
 
-mesh.finalize()  # Must finalize tree mesh before use
+mesh2.finalize()  # Must finalize tree mesh before use
 
 mesh.plotGrid(showIt=True)
 
@@ -94,15 +96,15 @@
 xx = mesh.vectorNx
 yy = -3*np.exp((xx**2) / 100**2) + 50.
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-# mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2,2],
-#                                  method='radial', finalize=False)
+mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2,2],
+                                  method='radial', finalize=False)
 
 # Refine polygon
 xx = np.array([0., 10., 0., -10.])
 yy = np.array([-20., -10., 0., -10])
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-# mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2, 2],
-#                                  method='radial', finalize=False)
+mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2, 2],
+                                  method='radial', finalize=False)
 
 mesh.finalize()
 mesh.plotGrid(showIt=True)
@@ -133,15 +135,15 @@
 xx = mesh.vectorNx
 yy = -3*np.exp((xx**2) / 100**2) + 50.
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-# mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2,2],
-#                                  method='radial', finalize=False)
+mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2,2],
+                                 method='radial', finalize=False)
 
 # Refine polygon
 xx = np.array([0., 10., 0., -10.])
 yy = np.array([-20., -10., 0., -10])
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-# mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2, 2],
-#                                  method='radial', finalize=False)
+mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2, 2],
+                                 method='radial', finalize=False)
 
 mesh.finalize()
 
@@ -159,7 +161,7 @@
 
 # The cell areas (2D "volume")
 s = mesh.vol
-# mesh.plotImage(s, grid=True)
+mesh.plotImage(s, grid=True)
 
 
 ###############################################
@@ -199,8 +201,8 @@
 xp, yp, zp = np.meshgrid([-40., 40.], [-40., 40.], [-60., 0.])
 xyz = np.c_[matutils.mkvc(xp), matutils.mkvc(yp), matutils.mkvc(zp)]
 
-# mesh = meshutils.refine_tree_xyz(mesh, xyz, octree_levels=[2, 2],
-#                                  method='box', finalize=False)
+mesh = meshutils.refine_tree_xyz(mesh, xyz, octree_levels=[2, 2],
+                                 method='box', finalize=False)
 
 mesh.finalize()
 
@@ -218,4 +220,4 @@
 
 # The cell areas (2D "volume")
 s = mesh.vol
-# mesh.plotSlice(s, normal='Y', ind=int(mesh.hy.size/2), grid=True)
+mesh.plotSlice(s, normal='Y', ind=int(mesh.hy.size/2), grid=True)

From 5800796ce5a6ce2f7dfdb665571810a1a7af15e9 Mon Sep 17 00:00:00 2001
From: Devin Cowan 
Date: Wed, 1 May 2019 18:28:23 -0700
Subject: [PATCH 12/16] Make the plots pretty

---
 docs/demo_examples/plot_3D_cyl_codeobj.pickle | Bin 196 -> 196 bytes
 .../plot_cahn_hilliard_codeobj.pickle         | Bin 819 -> 819 bytes
 .../plot_cyl_mirror_codeobj.pickle            | Bin 697 -> 697 bytes
 .../plot_dc_resistivity_codeobj.pickle        | Bin 820 -> 820 bytes
 docs/demo_examples/plot_image_codeobj.pickle  | Bin 586 -> 586 bytes
 .../plot_mesh_types_codeobj.pickle            | Bin 577 -> 577 bytes
 .../plot_quadtree_divergence_codeobj.pickle   | Bin 313 -> 313 bytes
 .../plot_quadtree_hanging_codeobj.pickle      | Bin 270 -> 270 bytes
 .../plot_quadtree_refine_codeobj.pickle       | Bin 301 -> 301 bytes
 .../plot_slicer_demo_codeobj.pickle           | Bin 853 -> 853 bytes
 .../plot_streamThickness_codeobj.pickle       | Bin 310 -> 310 bytes
 .../mesh_generation/cylindrical_mesh.py       |  27 +++++++++++--
 .../mesh_generation/mesh_overview.py          |   5 ++-
 .../mesh_generation/tensor_mesh.py            |  37 +++++++++++++++---
 .../mesh_generation/tree_mesh.py              |  28 +++++++++----
 15 files changed, 79 insertions(+), 18 deletions(-)

diff --git a/docs/demo_examples/plot_3D_cyl_codeobj.pickle b/docs/demo_examples/plot_3D_cyl_codeobj.pickle
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diff --git a/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle b/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle
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diff --git a/docs/demo_examples/plot_dc_resistivity_codeobj.pickle b/docs/demo_examples/plot_dc_resistivity_codeobj.pickle
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delta 173
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diff --git a/docs/demo_examples/plot_mesh_types_codeobj.pickle b/docs/demo_examples/plot_mesh_types_codeobj.pickle
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delta 136
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diff --git a/tutorial_examples/mesh_generation/cylindrical_mesh.py b/tutorial_examples/mesh_generation/cylindrical_mesh.py
index f5c3407f2..4f3978c02 100644
--- a/tutorial_examples/mesh_generation/cylindrical_mesh.py
+++ b/tutorial_examples/mesh_generation/cylindrical_mesh.py
@@ -25,6 +25,7 @@
 #
 
 from discretize import CylMesh
+import matplotlib.pyplot as plt
 import numpy as np
 
 ###############################################
@@ -88,7 +89,14 @@
 # We can use flags 'C', '0' and 'N' to define the xyz position of the mesh.
 mesh = CylMesh([hr, hp, hz], x0='00C')
 
-mesh.plotGrid()
+# We can apply the plotGrid method and change the axis properties
+Ax = mesh.plotGrid()
+Ax[0].set_title('Discretization in phi')
+
+Ax[1].set_title('Discretization in r and z')
+Ax[1].set_xlabel('r')
+Ax[1].set_xbound(mesh.x0[0], mesh.x0[0]+np.sum(mesh.hx))
+Ax[1].set_ybound(mesh.x0[2], mesh.x0[2]+np.sum(mesh.hz))
 
 # The bottom end of the vertical axis of rotational symmetry
 x0 = mesh.x0
@@ -142,6 +150,19 @@
 # An (nC, 3) array containing the cell-center locations
 cc = mesh.gridCC
 
-# The cell volumes
+# Plot the cell volumes
 v = mesh.vol
-mesh.plotImage(v, grid=True)
+
+Fig = plt.figure(figsize=(6, 7))
+Ax = Fig.add_subplot(111)
+mesh.plotImage(v, grid=True, ax=Ax)
+Ax.set_xlabel('r')
+Ax.set_xbound(mesh.x0[0], mesh.x0[0]+np.sum(mesh.hx))
+Ax.set_ybound(mesh.x0[2], mesh.x0[2]+np.sum(mesh.hz))
+Ax.set_title('Cell Volumes')
+
+##############################################################################
+# Notice that we do not plot the discretization in phi as it is irrelevant.
+#
+
+
diff --git a/tutorial_examples/mesh_generation/mesh_overview.py b/tutorial_examples/mesh_generation/mesh_overview.py
index 271e970cd..c3001b790 100644
--- a/tutorial_examples/mesh_generation/mesh_overview.py
+++ b/tutorial_examples/mesh_generation/mesh_overview.py
@@ -48,7 +48,7 @@ def refine(cell):
 )
 
 # Plot
-fig, axes = plt.subplots(1, 3, figsize=(15, 4))
+fig, axes = plt.subplots(1, 3, figsize=(14.5, 4))
 tensor_mesh.plotGrid(ax=axes[0])
 axes[0].set_title('TensorMesh')
 
@@ -77,7 +77,7 @@ def refine(cell):
 tensor_mesh2 = discretize.TensorMesh([hx, hy])
 
 # Plot
-fig, axes2 = plt.subplots(1, 3, figsize=(15, 5))
+fig, axes2 = plt.subplots(1, 3, figsize=(14.5, 5))
 tensor_mesh2.plotGrid(ax=axes2[0], nodes=True, centers=True)
 axes2[0].legend(('Nodes', 'Centers'))
 axes2[0].set_title('Nodes and cell centers')
@@ -90,6 +90,7 @@ def refine(cell):
 axes2[2].legend(('X-faces', 'Y-faces'))
 axes2[2].set_title('Cell faces')
 
+###############################################################################
 # Note that we define X-edges as being edges that lie parallel to the x-axis.
 # And we define X-faces as being faces whose normal lies parallel to the
 # axis. In 3D, the difference between edges and faces is more obvious.
diff --git a/tutorial_examples/mesh_generation/tensor_mesh.py b/tutorial_examples/mesh_generation/tensor_mesh.py
index a5a19e30b..04ccb4595 100644
--- a/tutorial_examples/mesh_generation/tensor_mesh.py
+++ b/tutorial_examples/mesh_generation/tensor_mesh.py
@@ -22,6 +22,7 @@
 #
 
 from discretize import TensorMesh
+import matplotlib.pyplot as plt
 import numpy as np
 
 # sphinx_gallery_thumbnail_number = 3
@@ -34,6 +35,7 @@
 # x, y and z as 1D numpy arrays. And to provide the position of the bottom
 # southwest corner of the mesh. We demonstrate this here for a 2D mesh (thus
 # we do not need to consider the z-dimension).
+#
 
 ncx = 10     # number of core mesh cells in x
 ncy = 15     # number of core mesh cells in y
@@ -51,8 +53,8 @@
 
 
 ###############################################
-# Padding Cells
-# -------------
+# Padding Cells and Plotting
+# --------------------------
 #
 # For practical purposes, the user may want to define a region where the cell
 # widths are increasing/decreasing in size. For example, padding is often used
@@ -77,7 +79,13 @@
 # We can use flags 'C', '0' and 'N' to define the xyz position of the mesh.
 mesh = TensorMesh([hx, hy], x0='CN')
 
-mesh.plotGrid()
+# We can apply the plotGrid method and output to a specified axes object
+Fig = plt.figure(figsize=(6, 6))
+Ax = Fig.add_subplot(111)
+mesh.plotGrid(ax=Ax)
+Ax.set_xbound(mesh.x0[0], mesh.x0[0]+np.sum(mesh.hx))
+Ax.set_ybound(mesh.x0[1], mesh.x0[1]+np.sum(mesh.hy))
+Ax.set_title('Tensor Mesh')
 
 ###############################################
 # Extracting Mesh Properties
@@ -113,9 +121,16 @@
 # A boolean array specifying which cells lie on the boundary
 bInd = mesh.cellBoundaryInd
 
-# The cell areas (2D "volume")
+# Plot the cell areas (2D "volume")
 s = mesh.vol
-mesh.plotImage(s, grid=True)
+
+Fig = plt.figure(figsize=(6, 6))
+Ax = Fig.add_subplot(111)
+mesh.plotImage(s, grid=True, ax=Ax)
+Ax.set_xbound(mesh.x0[0], mesh.x0[0]+np.sum(mesh.hx))
+Ax.set_ybound(mesh.x0[1], mesh.x0[1]+np.sum(mesh.hy))
+Ax.set_title('Cell Areas')
+
 
 ###############################################
 # 3D Example
@@ -148,4 +163,14 @@
 # The cell volumes
 v = mesh.vol
 
-mesh.plotImage(v, grid=True)
+# Plot all cells volumes or plot cell volumes for a particular horizontal slice
+Fig = plt.figure(figsize=(9, 4))
+Ax1 = Fig.add_subplot(121)
+Ax2 = Fig.add_subplot(122)
+
+mesh.plotImage(v, grid=True, ax=Ax1)
+Ax1.set_title('All Cell Volumes')
+
+cplot = mesh.plotSlice(v, grid=True, ax=Ax2, normal='Z', ind=2)
+cplot[0].set_clim(np.min(v), np.max(v))
+Ax2.set_title('Cell Volumes #2')
diff --git a/tutorial_examples/mesh_generation/tree_mesh.py b/tutorial_examples/mesh_generation/tree_mesh.py
index 0b21a031c..15dfb3619 100644
--- a/tutorial_examples/mesh_generation/tree_mesh.py
+++ b/tutorial_examples/mesh_generation/tree_mesh.py
@@ -36,6 +36,7 @@
 
 from discretize import TreeMesh
 from discretize.utils import matutils, meshutils
+import matplotlib.pyplot as plt
 import numpy as np
 
 # sphinx_gallery_thumbnail_number = 3
@@ -69,8 +70,8 @@
 
 
 ###############################################
-# Intermediate Example
-# --------------------
+# Intermediate Example and Plotting
+# ---------------------------------
 #
 # The widths of the base mesh cells do not need to be the same in x and y but
 # the number of base mesh cells in x and y does need to be a power of 2. Here
@@ -107,7 +108,14 @@
                                   method='radial', finalize=False)
 
 mesh.finalize()
-mesh.plotGrid(showIt=True)
+
+# We can apply the plotGrid method and output to a specified axes object
+Fig = plt.figure(figsize=(6, 6))
+Ax = Fig.add_subplot(111)
+mesh.plotGrid(ax=Ax)
+Ax.set_xbound(mesh.x0[0], mesh.x0[0]+np.sum(mesh.hx))
+Ax.set_ybound(mesh.x0[1], mesh.x0[1]+np.sum(mesh.hy))
+Ax.set_title('QuadTree Mesh')
 
 ####################################################
 # Extracting Mesh Properties
@@ -161,8 +169,13 @@
 
 # The cell areas (2D "volume")
 s = mesh.vol
-mesh.plotImage(s, grid=True)
 
+Fig = plt.figure(figsize=(6, 6))
+Ax = Fig.add_subplot(111)
+mesh.plotImage(s, grid=True, ax=Ax)
+Ax.set_xbound(mesh.x0[0], mesh.x0[0]+np.sum(mesh.hx))
+Ax.set_ybound(mesh.x0[1], mesh.x0[1]+np.sum(mesh.hy))
+Ax.set_title('Cell Areas')
 
 ###############################################
 # 3D Example
@@ -218,6 +231,7 @@
 # A boolean array specifying which cells lie on the boundary
 bInd = mesh.cellBoundaryInd
 
-# The cell areas (2D "volume")
-s = mesh.vol
-mesh.plotSlice(s, normal='Y', ind=int(mesh.hy.size/2), grid=True)
+# Cell volumes
+v = mesh.vol
+
+mesh.plotSlice(v, normal='Y', ind=int(mesh.hy.size/2), grid=True)

From 1a5fdc5ff949c5c7b21a884dc961515434ec83b5 Mon Sep 17 00:00:00 2001
From: Devin Cowan 
Date: Thu, 2 May 2019 12:04:15 -0700
Subject: [PATCH 13/16] Add surface-based tree refinement and fix bug for
 QuadTree mesh

---
 discretize/utils/meshutils.py                 |  2 +-
 .../mesh_generation/tree_mesh.py              | 29 ++++++++++---------
 2 files changed, 17 insertions(+), 14 deletions(-)

diff --git a/discretize/utils/meshutils.py b/discretize/utils/meshutils.py
index 1c3830ff4..b1aea10bb 100644
--- a/discretize/utils/meshutils.py
+++ b/discretize/utils/meshutils.py
@@ -666,7 +666,7 @@ def inBall(cell):
                     mesh.insert_cells(
                         np.c_[
                                 newLoc[indIn, :2],
-                                newLoc[indIn, 2]-zOffset],
+                                newLoc[indIn, -1]-zOffset],
                         np.ones(nnz)*mesh.max_level-ii,
                         finalize=False
                     )
diff --git a/tutorial_examples/mesh_generation/tree_mesh.py b/tutorial_examples/mesh_generation/tree_mesh.py
index 15dfb3619..ffc87aac8 100644
--- a/tutorial_examples/mesh_generation/tree_mesh.py
+++ b/tutorial_examples/mesh_generation/tree_mesh.py
@@ -62,7 +62,7 @@
 
 # Discretize to finest cell size within rectangular region
 mesh2 = meshutils.refine_tree_xyz(mesh, xy, octree_levels=[2, 2],
-                                 method='box', finalize=False)
+                                  method='box', finalize=False)
 
 mesh2.finalize()  # Must finalize tree mesh before use
 
@@ -73,10 +73,11 @@
 # Intermediate Example and Plotting
 # ---------------------------------
 #
-# The widths of the base mesh cells do not need to be the same in x and y but
-# the number of base mesh cells in x and y does need to be a power of 2. Here
-# we show a method for mesh refinement which discretizes more finely around a
-# set of points. This is usedful for discretizing surface topography.
+# The widths of the base mesh cells do not need to be the same in x and y.
+# However the number of base mesh cells in x and y each needs to be a power of
+# 2. Here we show topography-based mesh refinement and refinement about a
+# set of points. We also show some aspect of customizing plots.
+#
 
 dx = 5    # minimum cell width (base mesh cell width) in x
 dy = 5    # minimum cell width (base mesh cell width) in y
@@ -97,15 +98,15 @@
 xx = mesh.vectorNx
 yy = -3*np.exp((xx**2) / 100**2) + 50.
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2,2],
-                                  method='radial', finalize=False)
+mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2, 2],
+                                 method='surface', finalize=False)
 
-# Refine polygon
+# Refine near points
 xx = np.array([0., 10., 0., -10.])
 yy = np.array([-20., -10., 0., -10])
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
 mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2, 2],
-                                  method='radial', finalize=False)
+                                 method='radial', finalize=False)
 
 mesh.finalize()
 
@@ -123,6 +124,7 @@
 #
 # Once the mesh is created, you may want to extract certain properties. Here,
 # we show some properties that can be extracted from a QuadTree mesh.
+#
 
 dx = 5    # minimum cell width (base mesh cell width) in x
 dy = 5    # minimum cell width (base mesh cell width) in y
@@ -143,10 +145,10 @@
 xx = mesh.vectorNx
 yy = -3*np.exp((xx**2) / 100**2) + 50.
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
-mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2,2],
-                                 method='radial', finalize=False)
+mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2, 2],
+                                 method='surface', finalize=False)
 
-# Refine polygon
+# Refine near points
 xx = np.array([0., 10., 0., -10.])
 yy = np.array([-20., -10., 0., -10])
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy)]
@@ -183,6 +185,7 @@
 #
 # Here we show how the same approach can be used to create and extract
 # properties from a 3D tensor mesh.
+#
 
 dx = 5    # minimum cell width (base mesh cell width) in x
 dy = 5    # minimum cell width (base mesh cell width) in y
@@ -208,7 +211,7 @@
 zz = -3*np.exp((xx**2 + yy**2) / 100**2) + 50.
 pts = np.c_[matutils.mkvc(xx), matutils.mkvc(yy), matutils.mkvc(zz)]
 mesh = meshutils.refine_tree_xyz(mesh, pts, octree_levels=[2, 2],
-                                 method='radial', finalize=False)
+                                 method='surface', finalize=False)
 
 # Refine box
 xp, yp, zp = np.meshgrid([-40., 40.], [-40., 40.], [-60., 0.])

From a2937a7178218101de1f839e2adb01b2e000eb81 Mon Sep 17 00:00:00 2001
From: Devin Cowan 
Date: Fri, 3 May 2019 18:57:38 -0700
Subject: [PATCH 14/16] Add some tutorial for operators

---
 docs/conf.py                                  |  12 +-
 docs/demo_examples/plot_3D_cyl_codeobj.pickle | Bin 196 -> 196 bytes
 .../plot_cahn_hilliard_codeobj.pickle         | Bin 819 -> 819 bytes
 .../plot_cyl_mirror_codeobj.pickle            | Bin 697 -> 697 bytes
 .../plot_dc_resistivity_codeobj.pickle        | Bin 820 -> 820 bytes
 docs/demo_examples/plot_image_codeobj.pickle  | Bin 586 -> 586 bytes
 .../plot_mesh_types_codeobj.pickle            | Bin 577 -> 577 bytes
 .../plot_quadtree_divergence_codeobj.pickle   | Bin 313 -> 313 bytes
 .../plot_quadtree_hanging_codeobj.pickle      | Bin 270 -> 270 bytes
 .../plot_quadtree_refine_codeobj.pickle       | Bin 301 -> 301 bytes
 .../plot_slicer_demo_codeobj.pickle           | Bin 853 -> 853 bytes
 .../plot_streamThickness_codeobj.pickle       | Bin 310 -> 310 bytes
 docs/index.rst                                |   1 +
 tutorial_examples/operators/README.txt        |  22 ++
 tutorial_examples/operators/averaging.py      | 188 ++++++++++++++
 tutorial_examples/operators/differential.py   | 233 ++++++++++++++++++
 16 files changed, 454 insertions(+), 2 deletions(-)
 create mode 100644 tutorial_examples/operators/README.txt
 create mode 100644 tutorial_examples/operators/averaging.py
 create mode 100644 tutorial_examples/operators/differential.py

diff --git a/docs/conf.py b/docs/conf.py
index 82029308b..9da9648fc 100644
--- a/docs/conf.py
+++ b/docs/conf.py
@@ -310,8 +310,16 @@
 # Sphinx Gallery
 sphinx_gallery_conf = {
     # path to your examples scripts
-    'examples_dirs': ['../demo_examples', '../tutorial_examples/mesh_generation'],
-    'gallery_dirs': ['demo_examples', 'tutorials/mesh_generation'],
+    'examples_dirs': [
+        '../demo_examples',
+        '../tutorial_examples/mesh_generation',
+        '../tutorial_examples/operators'
+        ],
+    'gallery_dirs': [
+        'demo_examples',
+        'tutorials/mesh_generation',
+        'tutorials/operators'
+        ],
     'filename_pattern': '\.py',
     'backreferences_dir': 'api/generated/backreferences',
     'doc_module': 'discretize',
diff --git a/docs/demo_examples/plot_3D_cyl_codeobj.pickle b/docs/demo_examples/plot_3D_cyl_codeobj.pickle
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diff --git a/docs/demo_examples/plot_streamThickness_codeobj.pickle b/docs/demo_examples/plot_streamThickness_codeobj.pickle
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+
+fig = plt.figure(figsize=(10, 10))
+Ax1 = fig.add_subplot(221)
+mesh.plotImage(v, ax=Ax1)
+Ax1.set_title('Variable at cell centers')
+
+# Apply cell centers to faces averaging
+Ax2 = fig.add_subplot(222)
+mesh.plotImage(A2*v, ax=Ax2, vType='F')
+Ax2.set_title('Cell centers to faces')
+
+# Use the transpose to go from cell centers to nodes
+Ax3 = fig.add_subplot(223)
+mesh.plotImage(A3.T*v, ax=Ax3, vType='N')
+Ax3.set_title('Cell centers to nodes using transpose')
+
+# Use the transpose to go from cell centers to faces
+Ax4 = fig.add_subplot(224)
+mesh.plotImage(A4.T*v, ax=Ax4, vType='F')
+Ax4.set_title('Cell centers to faces using transpose')
+
+
+
+
+
+
diff --git a/tutorial_examples/operators/differential.py b/tutorial_examples/operators/differential.py
new file mode 100644
index 000000000..e1a80f395
--- /dev/null
+++ b/tutorial_examples/operators/differential.py
@@ -0,0 +1,233 @@
+"""
+Differential Operators
+======================
+
+For variables living on a discretized mesh, sparse matricies can be used to
+approximate the following differential operators:
+    
+    - gradient (:math:`\nabla \phi` )
+    - divergence (:math:`\nabla \cdot \mathbf{v}` )
+    - curl (:math:`\nabla \times \mathbf{v}` )
+    - scalar Laplacian (:math:`\Delta` )
+
+Numerical differential operators exist for 1D, 2D and 3D meshes. For each mesh
+class (*Tensor mesh*, *Tree mesh*, *Curvilinear mesh*), the set of numerical
+differential operators are properties that are only constructed when called.
+
+Here we demonstrate:
+
+    - How to construct and apply numerical differential operators to a vector
+    - Mapping and dimensions
+    - Applications for the transpose
+
+"""
+
+###############################################
+#
+# Import Packages
+# ---------------
+#
+# Here we import the packages required for this tutorial.
+#
+
+from discretize import TensorMesh
+import matplotlib.pyplot as plt
+from IPython.display import display
+import numpy as np
+
+# sphinx_gallery_thumbnail_number = 3
+
+
+#############################################
+# 1D Example
+# ----------
+#
+# Here we compute a scalar function on cell nodes and differentiate with
+# respect to x. We then compute the analytic derivative of function to validate
+# the numerical differentiation.
+# 
+
+# Create a uniform grid
+h = np.ones(20)
+mesh = TensorMesh([h], 'C')
+
+# Get node and cell center locations
+x_nodes = mesh.vectorNx
+x_centers = mesh.vectorCCx
+
+# Compute function on nodes and derivative at cell centers
+v = np.exp(-(x_nodes**2) / 4**2)
+dvdx = -(2*x_centers / 4**2)*np.exp(-(x_centers**2) / 4**2)
+
+# Derivative in x (gradient in 1D) from nodes to cell centers
+G = mesh.nodalGrad
+dvdx_approx = G*v
+
+# Compare
+fig = plt.figure(figsize=(8, 4))
+Ax1 = fig.add_subplot(121)
+Ax1.spy(G, markersize=5)
+Ax1.set_title('Sparse representation of G', pad=10)
+
+Ax2 = fig.add_subplot(122)
+Ax2.plot(x_nodes, v)
+Ax2.plot(x_centers, dvdx)
+Ax2.plot(x_centers, dvdx_approx, 'o')
+Ax2.set_title('Comparison plot')
+Ax2.legend(('function','derivative','approx. deriv.'))
+
+display(fig)
+plt.close()
+
+
+#############################################
+# Mapping and Dimensions
+# ----------------------
+#
+# When solving differential equations on a numerical grid (mesh), it is
+# natural for certain quantities to be defined at particular locations on the
+# mesh; e.g.:
+#
+#    - Scalar quantities on nodes or at cell centers
+#    - Vector quantities on cell edges or on cell faces
+#
+# Here we explore the dimensions of the gradient, divergence and curl
+# operators for a 3D tensor mesh. And we discuss the corresponding mapping.
+#
+
+# Create a uniform grid
+h = np.ones(20)
+mesh = TensorMesh([h, h, h], 'CCC')
+
+# Get differential operators
+GRAD = mesh.nodalGrad  # Gradient from nodes to edges
+DIV = mesh.faceDiv     # Divergence from faces to cell centers
+CURL = mesh.edgeCurl   # Curl edges to cell centers
+
+
+fig = plt.figure(figsize=(8, 8))
+
+Ax1 = fig.add_axes([0, 0, 0.23, .7])
+Ax1.spy(GRAD, markersize=0.5)
+Ax1.set_title('Gradient (nodes to edges)')
+
+Ax2 = fig.add_axes([0.35, 0.7, 0.63, 0.25])
+Ax2.spy(DIV, markersize=0.5)
+Ax2.set_title('Divergence (faces to centers)', pad=20)
+
+Ax3 = fig.add_axes([0.33, 0, 0.65, 0.65])
+Ax3.spy(CURL, markersize=0.5)
+Ax3.set_title('Curl (edges to faces)')
+
+display(fig)
+plt.close()
+
+# Print some properties
+print('\n Gradient:')
+print('- Number of nodes:', str(mesh.nN))
+print('- Number of edges:', str(mesh.nE))
+print('- Dimensions of operator:', str(mesh.nE), 'x', str(mesh.nN))
+print('- Number of non-zero elements:', str(GRAD.nnz), '\n')
+
+print('Divergence:')
+print('- Number of faces:', str(mesh.nF))
+print('- Number of cells:', str(mesh.nC))
+print('- Dimensions of operator:', str(mesh.nC), 'x', str(mesh.nF))
+print('- Number of non-zero elements:', str(DIV.nnz), '\n')
+
+print('Curl:')
+print('- Number of faces:', str(mesh.nF))
+print('- Number of edges:', str(mesh.nE))
+print('- Dimensions of operator:', str(mesh.nE), 'x', str(mesh.nF))
+print('- Number of non-zero elements:', str(CURL.nnz))
+
+
+#############################################
+# 2D Example
+# ----------
+# 
+# Here we apply the gradient, divergence and curl operators to a set of
+# functions defined on the 2D tensor mesh.
+#
+
+# Create a uniform grid
+h = np.ones(20)
+mesh = TensorMesh([h, h], 'CC')
+
+# Get differential operators
+GRAD = mesh.nodalGrad  # Gradient from nodes to edges
+DIV = mesh.faceDiv     # Divergence from faces to cell centers
+CURL = mesh.edgeCurl   # Curl edges to cell centers
+
+# Evaluate gradient of a scalar function
+nodes = mesh.gridN
+u = np.exp(-(nodes[:, 0]**2 + nodes[:, 1]**2) / 4**2)
+grad_u = GRAD*u
+
+# Evaluate divergence of a vector function in x and y
+faces_x = mesh.gridFx
+faces_y = mesh.gridFy
+vx = (faces_x[:,0]/np.sqrt(np.sum(faces_x**2, axis=1))) * np.exp(-(faces_x[:, 0]**2 + faces_x[:, 1]**2) / 6**2)
+vy = (faces_y[:,1]/np.sqrt(np.sum(faces_y**2, axis=1))) * np.exp(-(faces_y[:, 0]**2 + faces_y[:, 1]**2) / 6**2)
+v = np.r_[vx, vy]
+div_v = DIV*v
+
+# Evaluate curl of a vector function in x and y
+edges_x = mesh.gridEx
+edges_y = mesh.gridEy
+wx = (-edges_x[:,1]/np.sqrt(np.sum(edges_x**2, axis=1))) * np.exp(-(edges_x[:, 0]**2 + edges_x[:, 1]**2) / 6**2)
+wy = ( edges_y[:,0]/np.sqrt(np.sum(edges_y**2, axis=1))) * np.exp(-(edges_y[:, 0]**2 + edges_y[:, 1]**2) / 6**2)
+w = np.r_[wx, wy]
+curl_w = CURL*w
+
+# Plot Gradient
+fig = plt.figure(figsize=(10, 5))
+
+Ax1 = fig.add_subplot(121)
+mesh.plotImage(u, ax=Ax1, vType='N')
+Ax1.set_title('Function at cell centers')
+
+Ax2 = fig.add_subplot(122)
+mesh.plotImage(grad_u, ax=Ax2, vType='E', view='vec', streamOpts={'color':'w', 'density':1.0})
+Ax2.set_title('Stream plot of gradient')
+
+display(fig)
+plt.close()
+
+# Plot divergence
+fig = plt.figure(figsize=(10, 5))
+
+Ax1 = fig.add_subplot(121)
+mesh.plotImage(v, ax=Ax1, vType='F', view='vec', streamOpts={'color':'w', 'density':1.0})
+Ax1.set_title('Function at cell faces')
+
+Ax2 = fig.add_subplot(122)
+mesh.plotImage(div_v, ax=Ax2)
+Ax2.set_title('Divergence at cell centers')
+
+display(fig)
+plt.close()
+
+# Plot curl
+fig = plt.figure(figsize=(10, 5))
+
+Ax1 = fig.add_subplot(121)
+mesh.plotImage(w, ax=Ax1, vType='E', view='vec', streamOpts={'color':'w', 'density':1.0})
+Ax1.set_title('Function at cell edges')
+
+Ax2 = fig.add_subplot(122)
+mesh.plotImage(curl_w, ax=Ax2)
+Ax2.set_title('Curl at cell centers')
+
+display(fig)
+plt.close()
+
+
+
+
+
+
+
+
+
+

From 08e7610d7ad5bd9352f15f1ea9049d9d65a03a09 Mon Sep 17 00:00:00 2001
From: Devin Cowan 
Date: Mon, 6 May 2019 12:14:03 -0700
Subject: [PATCH 15/16] Final averaging and differential operators tutorials

---
 docs/demo_examples/plot_3D_cyl_codeobj.pickle | Bin 196 -> 196 bytes
 .../plot_cahn_hilliard_codeobj.pickle         | Bin 819 -> 819 bytes
 .../plot_cyl_mirror_codeobj.pickle            | Bin 697 -> 697 bytes
 .../plot_dc_resistivity_codeobj.pickle        | Bin 820 -> 820 bytes
 docs/demo_examples/plot_image_codeobj.pickle  | Bin 586 -> 586 bytes
 .../plot_mesh_types_codeobj.pickle            | Bin 577 -> 577 bytes
 .../plot_quadtree_divergence_codeobj.pickle   | Bin 313 -> 313 bytes
 .../plot_quadtree_hanging_codeobj.pickle      | Bin 270 -> 270 bytes
 .../plot_quadtree_refine_codeobj.pickle       | Bin 301 -> 301 bytes
 .../plot_slicer_demo_codeobj.pickle           | Bin 853 -> 853 bytes
 .../plot_streamThickness_codeobj.pickle       | Bin 310 -> 310 bytes
 .../demo_examples/plot_tensors_codeobj.pickle | Bin 202 -> 202 bytes
 .../mesh_generation/tree_mesh.py              |  19 ++-
 tutorial_examples/operators/averaging.py      |  55 +++----
 tutorial_examples/operators/differential.py   | 135 ++++++++++--------
 15 files changed, 114 insertions(+), 95 deletions(-)

diff --git a/docs/demo_examples/plot_3D_cyl_codeobj.pickle b/docs/demo_examples/plot_3D_cyl_codeobj.pickle
index 35bcbce51d67c8771d04411207343cfa64a716b7..2529dce93d26338c85a542214bf1b5f642fae519 100644
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diff --git a/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle b/docs/demo_examples/plot_cahn_hilliard_codeobj.pickle
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diff --git a/docs/demo_examples/plot_cyl_mirror_codeobj.pickle b/docs/demo_examples/plot_cyl_mirror_codeobj.pickle
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diff --git a/docs/demo_examples/plot_image_codeobj.pickle b/docs/demo_examples/plot_image_codeobj.pickle
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diff --git a/docs/demo_examples/plot_mesh_types_codeobj.pickle b/docs/demo_examples/plot_mesh_types_codeobj.pickle
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diff --git a/docs/demo_examples/plot_quadtree_divergence_codeobj.pickle b/docs/demo_examples/plot_quadtree_divergence_codeobj.pickle
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diff --git a/docs/demo_examples/plot_streamThickness_codeobj.pickle b/docs/demo_examples/plot_streamThickness_codeobj.pickle
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diff --git a/docs/demo_examples/plot_tensors_codeobj.pickle b/docs/demo_examples/plot_tensors_codeobj.pickle
index b1d8ceed654d3a184e1934c08e50a05800fadaa2..b54501111e35d2ee4798523f922fa2bab08eaf37 100644
GIT binary patch
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zcmX@bc#3g?UJOS;PKjP|Mt=E}+9?`6EP08!sZ)AbzydvNx%nxjIY7Q(ZemG6PJT&F
zW|Ce(C5SbphX*1V4^&zN0)] = 0.
-v[(xy[:, 1]<-10.) & (xy[:, 0]>-10.) & (xy[:, 0]<10.)] = 50.
+v[(xy[:, 1] > 0)] = 0.
+v[(xy[:, 1] < -10.) & (xy[:, 0] > -10.) & (xy[:, 0] < 10.)] = 50.
 
 fig = plt.figure(figsize=(10, 10))
 Ax1 = fig.add_subplot(221)
@@ -181,8 +186,4 @@
 mesh.plotImage(A4.T*v, ax=Ax4, vType='F')
 Ax4.set_title('Cell centers to faces using transpose')
 
-
-
-
-
-
+fig.show()
diff --git a/tutorial_examples/operators/differential.py b/tutorial_examples/operators/differential.py
index e1a80f395..e55568f5b 100644
--- a/tutorial_examples/operators/differential.py
+++ b/tutorial_examples/operators/differential.py
@@ -2,13 +2,13 @@
 Differential Operators
 ======================
 
-For variables living on a discretized mesh, sparse matricies can be used to
+For discretized quantities living on a mesh, sparse matricies can be used to
 approximate the following differential operators:
-    
-    - gradient (:math:`\nabla \phi` )
-    - divergence (:math:`\nabla \cdot \mathbf{v}` )
-    - curl (:math:`\nabla \times \mathbf{v}` )
-    - scalar Laplacian (:math:`\Delta` )
+
+    - gradient: :math:`\\nabla \phi`
+    - divergence: :math:`\\nabla \cdot \mathbf{v}`
+    - curl: :math:`\\nabla \\times \mathbf{v}`
+    - scalar Laplacian: :math:`\Delta \mathbf{v}`
 
 Numerical differential operators exist for 1D, 2D and 3D meshes. For each mesh
 class (*Tensor mesh*, *Tree mesh*, *Curvilinear mesh*), the set of numerical
@@ -16,7 +16,7 @@ class (*Tensor mesh*, *Tree mesh*, *Curvilinear mesh*), the set of numerical
 
 Here we demonstrate:
 
-    - How to construct and apply numerical differential operators to a vector
+    - How to construct and apply numerical differential operators
     - Mapping and dimensions
     - Applications for the transpose
 
@@ -32,10 +32,9 @@ class (*Tensor mesh*, *Tree mesh*, *Curvilinear mesh*), the set of numerical
 
 from discretize import TensorMesh
 import matplotlib.pyplot as plt
-from IPython.display import display
 import numpy as np
 
-# sphinx_gallery_thumbnail_number = 3
+# sphinx_gallery_thumbnail_number = 2
 
 
 #############################################
@@ -45,7 +44,7 @@ class (*Tensor mesh*, *Tree mesh*, *Curvilinear mesh*), the set of numerical
 # Here we compute a scalar function on cell nodes and differentiate with
 # respect to x. We then compute the analytic derivative of function to validate
 # the numerical differentiation.
-# 
+#
 
 # Create a uniform grid
 h = np.ones(20)
@@ -64,35 +63,40 @@ class (*Tensor mesh*, *Tree mesh*, *Curvilinear mesh*), the set of numerical
 dvdx_approx = G*v
 
 # Compare
-fig = plt.figure(figsize=(8, 4))
-Ax1 = fig.add_subplot(121)
+fig = plt.figure(figsize=(12, 4))
+Ax1 = fig.add_axes([0.03, 0.01, 0.3, 0.92])
 Ax1.spy(G, markersize=5)
 Ax1.set_title('Sparse representation of G', pad=10)
 
-Ax2 = fig.add_subplot(122)
-Ax2.plot(x_nodes, v)
-Ax2.plot(x_centers, dvdx)
-Ax2.plot(x_centers, dvdx_approx, 'o')
+Ax2 = fig.add_axes([0.4, 0.06, 0.55, 0.88])
+Ax2.plot(x_nodes, v, 'b-',
+         x_centers, dvdx, 'r-',
+         x_centers, dvdx_approx, 'ko'
+         )
 Ax2.set_title('Comparison plot')
-Ax2.legend(('function','derivative','approx. deriv.'))
+Ax2.legend(('function', 'analytic derivative', 'numeric derivative'))
 
-display(fig)
-plt.close()
+fig.show()
 
 
 #############################################
 # Mapping and Dimensions
 # ----------------------
 #
-# When solving differential equations on a numerical grid (mesh), it is
+# When discretizing and solving differential equations, it is
 # natural for certain quantities to be defined at particular locations on the
 # mesh; e.g.:
 #
 #    - Scalar quantities on nodes or at cell centers
 #    - Vector quantities on cell edges or on cell faces
 #
+# As such, numerical differential operators frequently map from one part of
+# the mesh to another. For example, the gradient acts on a scalar quantity
+# an results in a vector quantity. As a result, the numerical gradient
+# operator may map from nodes to edges or from cell centers to faces.
+#
 # Here we explore the dimensions of the gradient, divergence and curl
-# operators for a 3D tensor mesh. And we discuss the corresponding mapping.
+# operators for a 3D tensor mesh. This can be extended to other mesh types.
 #
 
 # Create a uniform grid
@@ -105,22 +109,21 @@ class (*Tensor mesh*, *Tree mesh*, *Curvilinear mesh*), the set of numerical
 CURL = mesh.edgeCurl   # Curl edges to cell centers
 
 
-fig = plt.figure(figsize=(8, 8))
+fig = plt.figure(figsize=(9, 8))
 
-Ax1 = fig.add_axes([0, 0, 0.23, .7])
+Ax1 = fig.add_axes([0.07, 0, 0.20, .7])
 Ax1.spy(GRAD, markersize=0.5)
 Ax1.set_title('Gradient (nodes to edges)')
 
-Ax2 = fig.add_axes([0.35, 0.7, 0.63, 0.25])
+Ax2 = fig.add_axes([0.345, 0.73, 0.59, 0.185])
 Ax2.spy(DIV, markersize=0.5)
 Ax2.set_title('Divergence (faces to centers)', pad=20)
 
-Ax3 = fig.add_axes([0.33, 0, 0.65, 0.65])
+Ax3 = fig.add_axes([0.31, 0.05, 0.67, 0.60])
 Ax3.spy(CURL, markersize=0.5)
 Ax3.set_title('Curl (edges to faces)')
 
-display(fig)
-plt.close()
+fig.show()
 
 # Print some properties
 print('\n Gradient:')
@@ -145,9 +148,9 @@ class (*Tensor mesh*, *Tree mesh*, *Curvilinear mesh*), the set of numerical
 #############################################
 # 2D Example
 # ----------
-# 
+#
 # Here we apply the gradient, divergence and curl operators to a set of
-# functions defined on the 2D tensor mesh.
+# functions defined on a 2D tensor mesh. We then plot the results.
 #
 
 # Create a uniform grid
@@ -157,7 +160,7 @@ class (*Tensor mesh*, *Tree mesh*, *Curvilinear mesh*), the set of numerical
 # Get differential operators
 GRAD = mesh.nodalGrad  # Gradient from nodes to edges
 DIV = mesh.faceDiv     # Divergence from faces to cell centers
-CURL = mesh.edgeCurl   # Curl edges to cell centers
+CURL = mesh.edgeCurl   # Curl edges to cell centers (goes to faces in 3D)
 
 # Evaluate gradient of a scalar function
 nodes = mesh.gridN
@@ -167,67 +170,75 @@ class (*Tensor mesh*, *Tree mesh*, *Curvilinear mesh*), the set of numerical
 # Evaluate divergence of a vector function in x and y
 faces_x = mesh.gridFx
 faces_y = mesh.gridFy
-vx = (faces_x[:,0]/np.sqrt(np.sum(faces_x**2, axis=1))) * np.exp(-(faces_x[:, 0]**2 + faces_x[:, 1]**2) / 6**2)
-vy = (faces_y[:,1]/np.sqrt(np.sum(faces_y**2, axis=1))) * np.exp(-(faces_y[:, 0]**2 + faces_y[:, 1]**2) / 6**2)
+
+vx = (
+      (faces_x[:, 0]/np.sqrt(np.sum(faces_x**2, axis=1))) *
+      np.exp(-(faces_x[:, 0]**2 + faces_x[:, 1]**2) / 6**2)
+      )
+
+vy = (
+      (faces_y[:, 1]/np.sqrt(np.sum(faces_y**2, axis=1))) *
+      np.exp(-(faces_y[:, 0]**2 + faces_y[:, 1]**2) / 6**2)
+      )
+
 v = np.r_[vx, vy]
 div_v = DIV*v
 
 # Evaluate curl of a vector function in x and y
 edges_x = mesh.gridEx
 edges_y = mesh.gridEy
-wx = (-edges_x[:,1]/np.sqrt(np.sum(edges_x**2, axis=1))) * np.exp(-(edges_x[:, 0]**2 + edges_x[:, 1]**2) / 6**2)
-wy = ( edges_y[:,0]/np.sqrt(np.sum(edges_y**2, axis=1))) * np.exp(-(edges_y[:, 0]**2 + edges_y[:, 1]**2) / 6**2)
+
+wx = (
+      (-edges_x[:, 1]/np.sqrt(np.sum(edges_x**2, axis=1))) *
+      np.exp(-(edges_x[:, 0]**2 + edges_x[:, 1]**2) / 6**2)
+      )
+
+wy = (
+      (edges_y[:, 0]/np.sqrt(np.sum(edges_y**2, axis=1))) *
+      np.exp(-(edges_y[:, 0]**2 + edges_y[:, 1]**2) / 6**2)
+      )
+
 w = np.r_[wx, wy]
 curl_w = CURL*w
 
-# Plot Gradient
+# Plot Gradient of u
 fig = plt.figure(figsize=(10, 5))
 
 Ax1 = fig.add_subplot(121)
 mesh.plotImage(u, ax=Ax1, vType='N')
-Ax1.set_title('Function at cell centers')
+Ax1.set_title('u at cell centers')
 
 Ax2 = fig.add_subplot(122)
-mesh.plotImage(grad_u, ax=Ax2, vType='E', view='vec', streamOpts={'color':'w', 'density':1.0})
-Ax2.set_title('Stream plot of gradient')
+mesh.plotImage(grad_u, ax=Ax2, vType='E', view='vec',
+               streamOpts={'color': 'w', 'density': 1.0})
+Ax2.set_title('gradient of u on edges')
 
-display(fig)
-plt.close()
+fig.show()
 
-# Plot divergence
+# Plot divergence of v
 fig = plt.figure(figsize=(10, 5))
 
 Ax1 = fig.add_subplot(121)
-mesh.plotImage(v, ax=Ax1, vType='F', view='vec', streamOpts={'color':'w', 'density':1.0})
-Ax1.set_title('Function at cell faces')
+mesh.plotImage(v, ax=Ax1, vType='F', view='vec',
+               streamOpts={'color': 'w', 'density': 1.0})
+Ax1.set_title('v at cell faces')
 
 Ax2 = fig.add_subplot(122)
 mesh.plotImage(div_v, ax=Ax2)
-Ax2.set_title('Divergence at cell centers')
+Ax2.set_title('divergence of v at cell centers')
 
-display(fig)
-plt.close()
+fig.show()
 
-# Plot curl
+# Plot curl of w
 fig = plt.figure(figsize=(10, 5))
 
 Ax1 = fig.add_subplot(121)
-mesh.plotImage(w, ax=Ax1, vType='E', view='vec', streamOpts={'color':'w', 'density':1.0})
-Ax1.set_title('Function at cell edges')
+mesh.plotImage(w, ax=Ax1, vType='E', view='vec',
+               streamOpts={'color': 'w', 'density': 1.0})
+Ax1.set_title('w at cell edges')
 
 Ax2 = fig.add_subplot(122)
 mesh.plotImage(curl_w, ax=Ax2)
-Ax2.set_title('Curl at cell centers')
-
-display(fig)
-plt.close()
-
-
-
-
-
-
-
-
-
+Ax2.set_title('curl of w at cell centers')
 
+fig.show()

From 4c2f0c239106bdacb9482f428dfbde2c9638f4e1 Mon Sep 17 00:00:00 2001
From: Devin Cowan 
Date: Mon, 6 May 2019 15:13:39 -0700
Subject: [PATCH 16/16] Operators intro. Potential fix to nodalLaplacian.

---
 discretize/DiffOperators.py                  |  6 ++---
 tutorial_examples/mesh_generation/README.txt |  4 ++--
 tutorial_examples/operators/README.txt       | 25 +++++++++-----------
 tutorial_examples/solve_PDE/poisson.py       | 22 +++++++++++++++++
 4 files changed, 38 insertions(+), 19 deletions(-)
 create mode 100644 tutorial_examples/solve_PDE/poisson.py

diff --git a/discretize/DiffOperators.py b/discretize/DiffOperators.py
index ce7473ae2..85509daf6 100644
--- a/discretize/DiffOperators.py
+++ b/discretize/DiffOperators.py
@@ -363,7 +363,7 @@ def _nodalLaplacianx(self):
             Hx = sp.kron(speye(self.nNy), Hx)
         elif self.dim == 3:
             Hx = kron3(speye(self.nNz), speye(self.nNy), Hx)
-        return Hx.T * self._nodalGradStencilx * Hx
+        return self._nodalGradStencilx.T * Hx.T * Hx * self._nodalGradStencilx
 
     @property
     def _nodalLaplaciany(self):
@@ -374,7 +374,7 @@ def _nodalLaplaciany(self):
             Hy = sp.kron(Hy, speye(self.nNx))
         elif self.dim == 3:
             Hy = kron3(speye(self.nNz), Hy, speye(self.nNx))
-        return Hy.T * self._nodalGradStencily * Hy
+        return self._nodalGradStencily.T * Hy.T * Hy * self._nodalGradStencily
 
     @property
     def _nodalLaplacianz(self):
@@ -382,7 +382,7 @@ def _nodalLaplacianz(self):
             return None
         Hz = sdiag(1./self.hz)
         Hz = kron3(Hz, speye(self.nNy), speye(self.nNx))
-        return Hz.T * self._nodalLaplacianStencilz * Hz
+        return self._nodalGradStencilz.T * Hz.T * Hz * self._nodalGradStencilz
 
     @property
     def nodalLaplacian(self):
diff --git a/tutorial_examples/mesh_generation/README.txt b/tutorial_examples/mesh_generation/README.txt
index 55bc135bf..ce59c2908 100644
--- a/tutorial_examples/mesh_generation/README.txt
+++ b/tutorial_examples/mesh_generation/README.txt
@@ -3,8 +3,8 @@
 Mesh Generation
 ===============
 
-`discretize` provides a numerical grid on which to solve differential
-equations. Each mesh type has a similar API to make switching between
+`discretize` provides a numerical grid (or "mesh") on which to solve differential
+equations. Each mesh type has a similar API to make working with
 different meshes relatively simple. Within `discretize`, all meshes are
 classes that have properties like the number of cells `nC`, and methods,
 like `plotGrid`.
diff --git a/tutorial_examples/operators/README.txt b/tutorial_examples/operators/README.txt
index 2ad8bdd24..88665f9f5 100644
--- a/tutorial_examples/operators/README.txt
+++ b/tutorial_examples/operators/README.txt
@@ -3,20 +3,17 @@
 Operators
 =========
 
-`discretize` provides methods for constructing
-discrete differential operators; which includes the divergence, gradient
-and curl operators.
-
-
-
-a numerical grid on which to solve differential
-equations. Each mesh type has a similar API to make switching between
-different meshes relatively simple. Within `discretize`, all meshes are
-classes that have properties like the number of cells `nC`, and methods,
-like `plotGrid`.
-
-To learn how to create meshes with `discretize`, we have provided a set
-of tutorials. Click any image below to start the corresponding tutorial.
+Numerical solutions to differential equations using the finite volume
+method require discrete operators. These include averaging operators
+and differential operators. Averaging operators are used when a
+variable living on some part of the mesh (e.g. nodes, centers, edges or
+faces) must be approximated at other locations. Differential operators
+include the gradient, divergence, curl and scalar Lacplacian.
+
+The discrete operators are properties of each mesh class (*tensor mesh*,
+*tree mesh*, *curvilinear mesh*). An operator is only constructed when
+called. Since each mesh type has a similar API, the operators can be
+called using the same syntax.
 
 
 
diff --git a/tutorial_examples/solve_PDE/poisson.py b/tutorial_examples/solve_PDE/poisson.py
new file mode 100644
index 000000000..0ef59ec07
--- /dev/null
+++ b/tutorial_examples/solve_PDE/poisson.py
@@ -0,0 +1,22 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Mon May  6 13:55:17 2019
+
+@author: Devin
+"""
+
+from discretize import TensorMesh
+from pymatsolver import SolverLU
+import matplotlib.pyplot as plt
+import numpy as np
+from scipy import sparse as sp
+from discretize.utils import sdiag, speye, kron3, spzeros, ddx, av, av_extrap
+
+
+hx = 10*np.ones(50)
+hy = 10*np.ones(50)
+mesh = TensorMesh([hx, hy], 'CC')
+
+L = mesh.nodalLaplacian
+
+x = sp.linalg.eigs(L, which='SM')

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