The Cantor Set computed as an L-System and rendered using D3.
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September 10, 2016 19:59
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Cantor Set
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| license: mit | |
| border: no |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
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| <!DOCTYPE html> | |
| <head> | |
| <meta charset="utf-8"> | |
| <script src="https://d3js.org/d3.v4.min.js"></script> | |
| <style> body { margin: 0 } </style> | |
| </head> | |
| <body> | |
| <svg width="960" height="500"></svg> | |
| <script> | |
| var rules = { | |
| A: "ABA", | |
| B: "BBB" | |
| }, | |
| initialState = "A", | |
| iterations = 8, | |
| L = function(str){ | |
| return str.split("").map(function (d){ | |
| return rules[d]; | |
| }).join("") | |
| }, | |
| data = d3.range(iterations).map(function iterate(i){ | |
| return i ? L(iterate(i - 1)) : initialState; | |
| }); | |
| console.log(JSON.stringify(data, null, 2)); | |
| // Prints the following: | |
| // [ | |
| // "A", | |
| // "ABA", | |
| // "ABABBBABA", | |
| // "ABABBBABABBBBBBBBBABABBBABA", | |
| // "ABABBBABABBBBBBBBBABABBBABABBBBBBBBBBBBBBBBBBBBBBBBBBBABABBBABABBBBBBBBBABABBBABA", | |
| // "ABABBBABABBBBBBBBBABABBBABABBBBBBBBBBBBBBBBBBBBBBBBBBBABABBBABABBBBBBBBBABABBBABABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBABABBBABABBBBBBBBBABABBBABABBBBBBBBBBBBBBBBBBBBBBBBBBBABABBBABABBBBBBBBBABABBBABA", | |
| // ... | |
| var svg = d3.select("svg"), | |
| x = d3.scaleBand() | |
| .range([0, svg.attr("width")]), | |
| y = d3.scaleBand() | |
| .domain(d3.range(iterations)) | |
| .rangeRound([0, svg.attr("height")]), | |
| rects = data | |
| .map(function(str, j){ | |
| x.domain(d3.range(str.length)); | |
| return str.split("") | |
| .map(function (symbol, i){ | |
| return { | |
| symbol: symbol, | |
| x: x(i), | |
| y: y(j), | |
| width: x.bandwidth(), | |
| height: y.bandwidth() | |
| }; | |
| }) | |
| .filter(function (d){ | |
| return d.symbol === "A"; | |
| }); | |
| }) | |
| .reduce(function (a, b){ | |
| return a.concat(b); | |
| }, []); | |
| svg.selectAll("rect").data(rects) | |
| .enter().append("rect") | |
| .attr("x", function(d){ return d.x; }) | |
| .attr("y", function(d){ return d.y; }) | |
| .attr("width", function(d){ return d.width; }) | |
| .attr("height", function(d){ return d.height; }) | |
| .attr("fill", "black"); | |
| </script> | |
| </body> |
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