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
Edited
Dec 19, 2022
2 stars
IFS QuickstartIterated 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 squareRauzy Fractals
Hilbert's coordinate functions
hilbertDigraphIFS = {
let A = [
[1 / 4, 0],
[0, 1 / 2]
];
let B = [
[1 / 4, 0],
[0, -1 / 2]
];
let digraphIFS = [
{ source: "X", target: "X", f: new AffineFunction([A, [1 / 4, 0]]) },
{ source: "X", target: "X", f: new AffineFunction([A, [1 / 2, 1 / 2]]) },
{ source: "X", target: "Y", f: new AffineFunction([A, [0, 0]]) },
{ source: "X", target: "Y", f: new AffineFunction([B, [3 / 4, 1]]) },
{ source: "Y", target: "Y", f: new AffineFunction([A, [1 / 4, 1 / 2]]) },
{ source: "Y", target: "Y", f: new AffineFunction([A, [1 / 2, 1 / 2]]) },
{ source: "Y", target: "X", f: new AffineFunction([A, [0, 0]]) },
{ source: "Y", target: "X", f: new AffineFunction([B, [3 / 4, 1 / 2]]) }
];
return new DigraphIFS(digraphIFS);
}
import { AffineFunction, DigraphIFS } from "@mcmcclur/digraphifs-class"
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