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Last active October 28, 2015 02:51
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hilbert filling
<!DOCTYPE html>
<head>
<meta charset="utf-8">
<script src="https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.5/d3.min.js"></script>
<script src="lsystem.js"></script>
<style>
body { margin:0;position:fixed;top:0;right:0;bottom:0;left:0;
background-color: #b7fefd;}
svg { width: 100%; height: 100%; }
</style>
</head>
<body>
<svg></svg>
<script>
var side = 14;
var revealDuration = 5000;
var revealOffset = 15;
var steps = 5;
var hilbertConfig = {
steps: steps,
axiom: 'A',
rules: {
A: '-BF+AFA+FB-',
B: '+AF-BFB-FA+'
}
}
var test = LSystem.fractalize(hilbertConfig);
var angle = -Math.PI / 2;
var testCurve = LSystem.path({
fractal: test,
side: side,
angle: angle,
})
var testGrid = LSystem.grid({
fractal: test,
side: side,
angle: angle
})
var color = d3.scale.linear()
.domain([0, testGrid.length])
.range(["#65a0ff", "#cc4e00"])
.interpolate(d3.interpolateHcl)
var path = d3.svg.line()
.x(function(d) {
return d.x
})
.y(function(d) {
return d.y
})
.interpolate("basis")
var svg = d3.select("svg")
var g = svg.append("g")
.attr("transform", "translate(260, 20)")
g.append("path").classed("curvy", true)
.attr({
d: path(testGrid),
fill: "none",
stroke: "#0e93e1",
"stroke-width": 12,
"stroke-linecap": "round"
})
var duration = testGrid.length * revealOffset;
g.append("path").classed("curve", true)
.attr({
d: path(testGrid),
"stroke-dasharray": function() {
var tracklength = this.getTotalLength();
return tracklength + " " + tracklength;
},
"stroke-dashoffset": function() {
return this.getTotalLength();
},
"stroke": "#b7fefd",
fill:"#0f3770",
"stroke-width": 6,
"stroke-linecap": "round",
})
.transition()
.duration(duration)
.ease("linear")
.attrTween("stroke-dashoffset", revealAlong)
function revealAlong(d, i, a) {
var l = this.getTotalLength();
return function(t) {
if(t > 1) { t = 1}
return l * (1-t);
};
};
</script>
</body>
// from http://bl.ocks.org/nitaku/8947871
var LSystem = window.LSystem = {}
LSystem.fractalize = function(config) {
var char, i, input, output, _i, _len, _ref;
input = config.axiom;
for (i = 0, _ref = config.steps; 0 <= _ref ? i < _ref : i > _ref; 0 <= _ref ? i++ : i--) {
output = '';
for (_i = 0, _len = input.length; _i < _len; _i++) {
char = input[_i];
if (char in config.rules) {
output += config.rules[char];
} else {
output += char;
}
}
input = output;
}
return output;
};
/* convert a Lindenmayer string into an SVG path string
*/
LSystem.path = function(config) {
var angle, char, path, _i, _len, _ref;
angle = 0.0;
path = 'M0 0';
_ref = config.fractal;
for (_i = 0, _len = _ref.length; _i < _len; _i++) {
char = _ref[_i];
if (char === '+') {
angle += config.angle;
} else if (char === '-') {
angle -= config.angle;
} else if (char === 'F') {
path += "l" + (config.side * Math.cos(angle)) + " " + (config.side * Math.sin(angle));
}
}
return path;
};
LSystem.grid = function(config) {
var angle, char, i, j, len, ref, x, y;
angle = 0.0;
j = 1;
var grid = [{x: 0, y: 0, j: 0}];
ref = config.fractal;
for (i = 0, len = ref.length; i < len; i++) {
//if(j >= config.data.length) return grid;
char = ref[i];
if (char === '+') {
angle += config.angle;
} else if (char === '-') {
angle -= config.angle;
} else if (char === 'F') {
x = config.side * Math.cos(angle);
y = config.side * Math.sin(angle);
x += grid[j-1].x;
y += grid[j-1].y;
grid.push({
x: x,
y: y,
//data: config.data[j],
j: j
});
j++
}
}
return grid;
}
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