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A worm on a Hilbert curve
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width: 512 | |
height: 512 |
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Learn more about bidirectional Unicode characters
<!doctype html> | |
<html> | |
<head> | |
<meta charset="utf-8"> | |
<title>Hilbert curve</title> | |
<script src="//d3js.org/d3.v3.min.js" charset="utf-8"></script> | |
<style> | |
svg path { fill: none; } | |
#bg { stroke: #ccc; } | |
#worm { stroke: red; stroke-width: 2; } | |
</style> | |
</head> | |
<body> | |
<div></div> | |
<script> | |
var ITERATIONS = 7, | |
N = Math.pow(2, ITERATIONS + 2); | |
var INITIAL_WORM_LENGTH = 100, | |
FINAL_WORM_LENGTH = 1021; | |
var svg = d3.select("div").append("svg") | |
.attr("width", N).attr("height", N); | |
var bg = svg.append("path").attr("id", "bg"); | |
var worm = svg.append("path").attr("id", "worm"); | |
var s = "L", i = 0, n = 1; | |
function next() { | |
s = s.replace(/([LR])/g, function(x) { | |
return ({L: "+RF-LFL-FR+", R: "-LF+RFR+FL-"})[x]; | |
}).replace(/-\+|\+-|\+\+\+\+|----/g, ""); | |
i++; | |
n *= 2; | |
} | |
function curve() { | |
var scale = N / n; | |
var r = "M" + (scale/2) + "," + (scale/2); | |
var b = [scale, 0]; | |
for (var j=0; j<s.length; j++) { | |
switch(s.charAt(j)) { | |
case '+': b = [ -b[1], b[0] ]; break; | |
case '-': b = [ b[1], -b[0] ]; break; | |
case 'F': | |
r += "l" + b[0] + "," + b[1]; | |
break; | |
} | |
} | |
return r; | |
} | |
for (var j = 0; i < ITERATIONS; j++) next(); | |
var c = curve(); | |
bg.attr("d", c); | |
worm.attr("d", c); | |
var length = worm.node().getTotalLength(); | |
worm.attr("stroke-dasharray", "0 0 " + INITIAL_WORM_LENGTH + " " + (length - INITIAL_WORM_LENGTH)); | |
worm.transition() | |
.duration(90 * 1000) | |
.ease("poly-in-out", 2) | |
.attr("stroke-dasharray", "0 " + (length - FINAL_WORM_LENGTH) + " " + FINAL_WORM_LENGTH + " 0"); | |
</script> | |
</body> | |
</html> |
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