JuliaSets

This is a package that can be used to visualize a Julia set. The package consists of two functions, visJuliaSet and generatePlot. visJuliaSet takes the following inputs:

• R - a rational function on complex numbers
• x - an array of points on the real line
• y - an array of points on the imaginary line
• n_iter - max number of iterations on a point (optional)
• escape_tol - tolerance beyond which point is considered to have diverged (optional)

visJuliaSet returns a 2-D Array that can then be passed to generatePlot to visualize the Julia set. An example is given below.

# Define function
function R{T <: Real}(a::Complex{T})
    a^2 - 0.75
end

x = [-2:.01:2]
y = [-2:.01:2]
A = visJuliaSet(R, x, y)
generatePlot(A)