Fractal trees created with L-systems in d3.js
Used Daniel Shiffman's p5.js video/code as a foundation
Last active
June 28, 2016 01:57
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fractal tree in D3 - L-system
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<!doctype html> | |
<html> | |
<body> | |
<script src="https://d3js.org/d3.v3.min.js" charset="utf-8"></script> | |
<script> | |
var w = window.innerWidth, | |
h = window.innerHeight; | |
var theta = -12 * Math.PI / 190, | |
length = 29, | |
x0 = w/2, | |
y0 = h, | |
t0 = Math.PI / 2.5; | |
function tree(string) { | |
var tree = [], | |
root = { path: "M" + x0 + "," + y0, children: [] }, | |
step = { x: x0, y: y0, t: t0, branch: root }; | |
var instructions = { | |
'F': function() { | |
step.x -= length * Math.cos(step.t); | |
step.y -= length * Math.sin(step.t); | |
step.branch.path += "L" + step.x + "," + step.y; | |
}, | |
'+': function() { | |
step.t += theta; | |
}, | |
'-': function() { | |
step.t -= theta; | |
}, | |
'[': function() { | |
tree.push(step); | |
step = Object.create(step); | |
var branch = { path: "M" + step.x + "," + step.y, children: [] }; | |
step.branch.children.push(branch); | |
step.branch = branch; | |
}, | |
']': function() { | |
step = tree.pop(); | |
} | |
}; | |
string.split('').forEach(function(a) { instructions[a](); }); | |
return root; | |
} | |
var svg = d3.select("body").append("svg") | |
.attr("width", w) | |
.attr("height", h) | |
.datum(tree(line(4, {"F": "F-[-F+F+F-FF]+[+FF-F-F-]"}, "F"))) | |
.each(grow); | |
function grow(d) { | |
d3.select(this).append("path") | |
.attr("stroke", "black") | |
.attr("stroke-opacity", 0.45) | |
.attr("stroke-width", function(d,i){i * Math.PI/38}) | |
.attr("fill", "none") | |
.attr("d", function(d) { return d.path; }); | |
d3.select(this).selectAll("g") | |
.data(d.children) | |
.enter().append("g") | |
.transition() | |
.each("start", grow); | |
} | |
function line(n, rules, axiom) { | |
if (n == 0){ | |
return axiom; | |
} else{ | |
return line(--n, rules, axiom.replace(/./g, function(a) { return rules[a] || a; })); | |
} | |
} | |
</script> | |
</body> | |
</html> |
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