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penrose3.html
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<!DOCTYPE html>
<html>
<head>
<script type="text/javascript" src="paper.js"></script>
<script type="text/javascript">
/*
Reference: http://preshing.com/20110831/penrose-tiling-explained/
*/
var GOLDENRATIO = (1.0 + Math.sqrt(5)) / 2.0;
var Tiling = (function (lib) {
lib = lib || {};
var Point = lib.Point;
if (!Point) throw new Error('Point is not defined');
var subdivide = function (triangles, depth) {
var result = [];
for (var i = 0; i < triangles.length; i++) {
var t = triangles[i];
var color = t[0], A = t[1], B = t[2], C = t[3]
// color0, A1, B2, C3
if (color === 0) {
// Subdivide red triangle
var P = A.add(B.subtract(A).divide(GOLDENRATIO));
result.push([0, C, P, B, 1], [1, P, C, A, 2]);
} else {
// Subdivide blue triangle
var Q = B.add(A.subtract(B).divide(GOLDENRATIO));
var R = B.add(C.subtract(B).divide(GOLDENRATIO));
result.push([1, R, C, A, 3], [1, Q, R, B, 4], [0, R, Q, A, 5]);
}
}
return result;
}
var generateSeedSun = function(options){
options = options || {};
// Create wheel of red triangles around the origin
var triangles = []
for (var i = 0; i < 10; i++) {
var A = new Point(0, 0);
var phi1 = (2.0*i - 1) * Math.PI / 10.0;
var B = new Point(Math.cos(phi1), Math.sin(phi1));
phi2 = (2.0*i + 1) * Math.PI / 10.0;
var C = new Point(Math.cos(phi2), Math.sin(phi2));
if (i % 2 === 0) {
var temp = B;
B = C;
C = temp;
}
triangles.push([0, A, B, C, 0]);
}
return triangles;
}
var generate = function(options) {
options = options || {};
depth = options.depth || 0;
// Create a seed
var triangles = generateSeedSun();
// Perform subdivisions
for (var i = 0; i < depth; i++) {
triangles = subdivide(triangles, i);
}
return triangles;
}
return {
generate: generate
};
})({Point: paper.Point});
</script>
<script type="text/paperscript" canvas="myCanvas">
function shuffle(arr) {
var j, x, i;
var len = arr.length;
for (i = len - 1; i > 0; i--) {
j = Math.floor(Math.random() * (i + 1));
x = arr[i];
arr[i] = arr[j];
arr[j] = x;
}
}
function getRandomColor() {
var r = Math.floor(Math.random()*250);
var g = Math.floor(Math.random()*250);
var b = Math.floor(Math.random()*250);
return 'rgba('+r+','+g+','+b+',0.65)';
}
function getRandomColors() {
var colors = [];
var len = Math.floor(Math.random()*4) + 2; // 2 to 5 colors is ideal
for (var i=0; i<len; i++) {
colors.push(getRandomColor());
}
return colors;
}
var makeTriangle = function(t) {
var path = new Path();
path.moveTo(t[1].x, t[1].y);
path.lineTo(t[2].x, t[2].y);
path.lineTo(t[3].x, t[3].y);
path.closePath();
return path;
}
var makeTriangleWithArcs = function(t) {
var path = new Path();
path.moveTo(t[1].x, t[1].y);
path.lineTo(t[2].x, t[2].y);
path.lineTo(t[3].x, t[3].y);
path.lineTo(t[1].x, t[1].y);
if (t[0] === 1) {
var a0 = t[2].add(t[1].subtract(t[2]).divide(GOLDENRATIO));
var a1 = t[3].add(t[1].subtract(t[3]).divide(GOLDENRATIO));
path.arcTo(a0, a1);
console.log(a0, a1);
}
return path;
}
var draw = function (triangles) {
var group = new Group();
paths = [];
for (var i=0; i<triangles.length; i++) {
var t = triangles[i];
var p = makeTriangleWithArcs(t);
p.t4 = t[4];
p.fillColor = fillColors[p.t4 % fillColors.length];
paths.push(p);
group.addChild(p);
}
return group;
}
var delta = 0;
var MAX_DELTA = 3;
var ITERATE_FOR_DEPTH = 0;
var ITERATE_FOR_COLOR = 1;
var iterationKind = ITERATE_FOR_COLOR;
var iterationDepth = 1;
var MAX_DEPTH = 10;
var MIN_DEPTH = 0;
var group;
var paths = [];
var fillColors = getRandomColors();
function onFrame(event) {
delta += event.delta;
if (delta > MAX_DELTA) {
delta = 0;
if (iterationKind == ITERATE_FOR_COLOR) {
fillColors = getRandomColors();
for (var i=0; i<paths.length; i++) {
var p = paths[i];
p.fillColor = fillColors[p.t4 % fillColors.length];
}
}
if (iterationKind == ITERATE_FOR_DEPTH) {
iterationDepth = (iterationDepth + 1) % MAX_DEPTH;
refresh();
}
}
}
function refresh() {
if (iterationDepth == 0) fillColors = getRandomColors();
if (group) group.removeChildren();
group = draw(Tiling.generate({depth: iterationDepth}));
project.activeLayer.scale(520, new Point(0, 0));
project.activeLayer.translate(new Point(x/2, y/2));
}
var x = window.innerWidth;
var y = window.innerHeight;
refresh();
</script>
</head>
<body>
<canvas id="myCanvas" width="1920" height="959" resize></canvas>
</body>
</html>