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💡 Generalize polygon systems

This commit is contained in:
Mattéo Delabre 2015-12-24 12:21:29 +01:00
parent eb689f452f
commit 96b5475447
1 changed files with 18 additions and 5 deletions
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23
scripts/ifs.js
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@ -12,6 +12,20 @@ const polygonTransforms = (vertices, frac) => vertices.map(
) )
); );
const regularVertices = count => {
var step = 2 * Math.PI / count;
var initial = -Math.atan(Math.sin(step) / (Math.cos(step) - 1));
var result = [];
for (var i = 0; i < count; i += 1) {
var current = step * i + initial;
result.push([Math.cos(current) * 10, Math.sin(current) * 10]);
}
return result;
};
export const barnsley = [[ export const barnsley = [[
linearTransform(0, 0, 0, 0.16, 0, 0), linearTransform(0, 0, 0, 0.16, 0, 0),
linearTransform(.85, .04, -.04, .85, 0, 1.6), linearTransform(.85, .04, -.04, .85, 0, 1.6),
@ -21,8 +35,7 @@ export const barnsley = [[
.01, .85, .07, .07 .01, .85, .07, .07
]]; ]];
export const sierpinski = [polygonTransforms([ export const sierpinski = [
[.866, .5], polygonTransforms(regularVertices(3), 1 / 2),
[-.866, .5], [1 / 3, 1 / 3, 1 / 3]
[0, -1] ];
], 1 / 2), [1 / 3, 1 / 3, 1 / 3]];