The avatar for @mcmcclur
Mark McClure
I'm a professor of mathematics at the University of North Carolina Asheville. I've also done a fair amount of consulting work over the years focusing on scientific and data visualization. I'm happy to be part of the first Observable Ambassador's cohort.
Public
Fractals
Edited
Nov 2, 2023
1 fork
2 stars
Fractals
IFS Quickstart
Iterated Function SystemsConstruction of the Serpinski triangleThe Sierpinski pedal triangleSimilarity and the Pedal TriangleDeterministic IFS algorithmsSelf-similar spiralsStochastic IFS algorithmsGeneralized Sierpinski trianglesThe Z-CurvePoly-gasketsThe Koch snowflakeBarnsley's fernIteratedFunctionSystem ClassAffineFunction ClassSimilarity transformationsThe TwindragonBox-counting dimension examplesMcMullen carpetsThe Twindragon (with boundary)Self-affine tilesTutorial on self-affine tilesA self-affine tile with holesSelf-affine tiles via polygon mergeThe Eisenstein fractionsGolden rectangle fractalsDeterministic digraph IFS algorithmsA stochastic digraph IFS algorithmMixed self-similarityFractalized squareHilbert's coordinate functionsRauzy Fractals
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// Define an IFS
IFS = new IteratedFunctionSystem([
scale(0.5),
scale(0.5, [1, 0]),
scale(0.5, [0, 1])
])
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// The easiest way to visualize is with IFS.render_stochastic
IFS.render_stochastic({ colors: true })
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// IFS.render_deterministic is another option
IFS.render_deterministic({
max_depth: 4,
init: [
[0, 0],
[1, 0],
[0, 1]
],
fill_colors: true
})
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// All built on top of the following imports
import {
IteratedFunctionSystem,
scale,
shift,
rotate,
reflect,
pi,
degree
} from "@mcmcclur/iteratedfunctionsystem-class"
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