Created
January 11, 2013 12:58
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Draws the fractal Sierpinski Triangle on an html5 canvas element via the Chaos Game method.
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drawflag = false; | |
i = -10; | |
maxi = 1000000; | |
function toggleDraw() { | |
button = document.getElementById("button"); | |
drawflag = !drawflag; | |
if (!drawflag) { | |
button.innerHTML = "Resume"; | |
} else { | |
button.innerHTML = "Stop"; | |
canv = document.getElementById("c1"); | |
c = canv.getContext("2d"); | |
counter = document.getElementById("ct"); | |
if (i<=0) { | |
x = Math.random()*canv.width | 0; | |
y = Math.random()*canv.height | 0; | |
p = [x,y]; | |
} | |
equiheight = Math.sqrt(3*canv.height*canv.height/4.); | |
equivertices = [[canv.width/2,canv.height/2-equiheight/2], | |
[0,canv.height/2+equiheight/2], | |
[canv.width,canv.height/2+equiheight/2]]; | |
draw(); | |
} | |
} | |
function draw() { | |
if (drawflag) { | |
counter.innerHTML = i; | |
p = chaosgame(equivertices,p,0.5); | |
if (i > 0) { // burn the first few | |
c.fillRect(p[0],p[1],1,1); | |
} | |
i += 1; | |
if (i < maxi) { | |
setTimeout("draw()",1); | |
} | |
} | |
} | |
function chaosgame(vertices,p,frac) { | |
/*Takes a list of vertices, each vertex | |
tuple of the form (x,y), a 2-tuple p of | |
the same form, and a floating point frac. | |
Randomly selects a vertex and returns | |
the point that is the frac fraction of | |
the way between the vertex and point p. | |
*/ | |
var v_index = Math.min(Math.floor(Math.random()*vertices.length),vertices.length-1); | |
var vertex = vertices[v_index]; | |
var new_x = (vertex[0] + p[0]) * frac; | |
var new_y = (vertex[1] + p[1]) * frac; | |
return [new_x,new_y]; | |
} |
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