From 1a440db32da8713454ffed02af5ff15ee77a1796 Mon Sep 17 00:00:00 2001 From: Evan Chen Date: Thu, 18 Jan 2024 16:44:31 -0500 Subject: [PATCH] Add rubber bands to asy gallery --- input/asyguide.md | 1 + static/asy-gallery/OTIS-Mock-AIME-2024-12.asy | 53 ++++++++++++++++++ static/asy-gallery/OTIS-Mock-AIME-2024-12.png | Bin 0 -> 170154 bytes 3 files changed, 54 insertions(+) create mode 100644 static/asy-gallery/OTIS-Mock-AIME-2024-12.asy create mode 100644 static/asy-gallery/OTIS-Mock-AIME-2024-12.png diff --git a/input/asyguide.md b/input/asyguide.md index 2c84c40..438b236 100644 --- a/input/asyguide.md +++ b/input/asyguide.md @@ -29,6 +29,7 @@ You can [view the source code on GitHub][asy-gallery]. {{ clickable_asy_image("Jan-TST-2013-3") }} {{ clickable_asy_image("Mexico-2020-3") }} {{ clickable_asy_image("Napkin-cproj2") }} +{{ clickable_asy_image("OTIS-Mock-AIME-2024-12") }} {{ clickable_asy_image("open-cover") }} {{ clickable_asy_image("ST-Napkin-Extn") }} {{ clickable_asy_image("TSTST-2020-1") }} diff --git a/static/asy-gallery/OTIS-Mock-AIME-2024-12.asy b/static/asy-gallery/OTIS-Mock-AIME-2024-12.asy new file mode 100644 index 0000000..40c0e2f --- /dev/null +++ b/static/asy-gallery/OTIS-Mock-AIME-2024-12.asy @@ -0,0 +1,53 @@ +import roundedpath; +usepackage("amsmath"); +unitsize(1.5cm); +pair[][] points; +path t = ((0,0) -- (1,0) -- (1/2, sqrt(3)/2) -- cycle); +for (int i = 0; i < 5; ++i) { + points.push(new pair[]); + for (int j = 0; j < 5 - i; ++j) { + points[i].push((j + i/2, i * sqrt(3)/2)); + } + for (int j = 0; j < 4 - i; ++j) { + draw(shift((j + i/2, i * sqrt(3)/2)) * t, linewidth(12) + grey); + } +} + +void band(int[][] p, pen c) { + int n = p.length; + for (int i = 0; i < n; ++i) { + pair A = points[p[i][0]][p[i][1]], B = points[p[(i + 1) % n][0]][p[(i + 1) % n][1]], C = points[p[(i + 2) % n][0]][p[(i + 2) % n][1]]; + draw(roundedpath((A + B) / 2 -- B -- (B + C) / 2, 0.15), white + linewidth(8)); + draw(roundedpath((A * 2 + B) / 3 -- B -- (B + C * 2) / 3, 0.15), c + linewidth(4)); + } +} + +band(new int[][]{{0, 0}, {0, 1}, {1, 1}, {1, 2}, {2, 1}, {2, 0}, {1, 0}, + {0, 1}, {0, 2}, {1, 1}, {1, 0}}, deepgreen); +band(new int[][]{{1, 1}, {2, 0}, {3, 0}, {2, 1}, {2, 2}, {1, 2}, {0, 2}, {0, 3}, + {0, 4}, {1, 3}, {2, 2}, {3, 1}, {2, 1}}, lightblue); +band(new int[][]{{3, 0}, {4, 0}, {3, 1}}, orange); +band(new int[][]{{0, 3}, {1, 2}, {1, 3}}, lightred); + +real r1 = 0.4; +real r2 = 1.3; +pair O1 = points[2][1]; +pair O2 = O1 + (5.2,0); + +fill(circle(O2, r2), lightgrey); +draw((O2+r2*dir(240))--(O2+r2*dir(60)), white + linewidth(9)); +draw((O2+r2*dir(240))--(O2+r2*dir(60)), lightblue + linewidth(5), Margins); +draw((O2+r2*dir(120))..(O2+0.1*r2*dir(60))..(O2+r2*dir(0)), white + linewidth(9)); +draw((O2+r2*dir(120))..(O2+0.1*r2*dir(60))..(O2+r2*dir(0)), lightblue + linewidth(5), Margins); +draw((O2+r2*dir(180))..(O2+0.1*r2*dir(240))..(O2+r2*dir(300)), white + linewidth(9)); +draw((O2+r2*dir(180))..(O2+0.1*r2*dir(240))..(O2+r2*dir(300)), deepgreen + linewidth(5), Margins); + +draw(circle(O1, r1), red+4); +draw(circle(O2, r2), red+4); +draw((O1+r1*dir(90))--(O2+r2*dir(90)), red+2); +draw((O1-r1*dir(90))--(O2-r2*dir(90)), red+2); + +label("Example placement of $\mathcal G_4$", (2,0), 4*dir(-90)); +label(minipage("Pairing at the circled peg, \\ one of $\frac{1}{3!} \binom 62 \binom 42 = 15$ possible.", + width=5.2cm), + O2+r2*dir(-90), 4*dir(-90)); diff --git a/static/asy-gallery/OTIS-Mock-AIME-2024-12.png b/static/asy-gallery/OTIS-Mock-AIME-2024-12.png new file mode 100644 index 0000000000000000000000000000000000000000..b9e754c08a67d2c5ee142e90a6ceedc59b66d4c2 GIT binary patch literal 170154 zcmZsD1wd3=wD#x~15{LoRKP?U5$O^YP(Zq*OF&>~2Bbw18Oovsl#!MaX2=0i0VPG6 zkybiHy5HUh@74Fef1SA@4rk8UXT`U^_3a5(RhBNim+Pc{_F{{afM27cr}hC;brK%pi~P$;n&6pG&QMX8zu_=~+} zit^XC5j&u}{0;o%faCRBE-2J4ZsZ@AN8{i#Q2ShO+?3rnw(A%z*M+iW4gw1G51*%| 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