Fractal of a form in which an equilateral triangle's base is divided by two child equilateral triangles, and the process is repeated recursively with those children.
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April 19, 2016 16:16
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Random Fractals - II
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| <!DOCTYPE html> | |
| <meta charset="utf-8"> | |
| <style></style> | |
| <body> | |
| <script src="http://code.jquery.com/jquery-1.8.3.min.js"></script> | |
| <script src="https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.5/d3.min.js"></script> | |
| <script> | |
| function middle_point(p1, p2) { | |
| return [(p1[0] + p2[0]) / 2, (p1[1] + p2[1]) / 2]; | |
| } | |
| function get_rights(points) { | |
| return [ | |
| [ | |
| points[0], middle_point(points[0], points[1]), middle_point(points[0], points[2]) | |
| ], | |
| [ | |
| middle_point(points[0], points[2]), middle_point(points[1], points[2]), points[2] | |
| ] | |
| ]; | |
| } | |
| function fractals_random_b() { | |
| var margin = { | |
| top: 30, | |
| right: 60, | |
| bottom: 60, | |
| left: 30 | |
| }; | |
| var width = 1024 - margin.left - margin.right; | |
| var height = (550 - 10) - margin.top - margin.bottom; | |
| var svg = d3.select("body") | |
| .append("svg") | |
| .attr("id", "gasket_svg") | |
| .attr("width", width).attr("height", height); | |
| var tpoints = [ | |
| [ | |
| [(width * 0.2), (height * 0.9)], | |
| [(width * 0.5), (height * 0.1)], | |
| [(width * 0.8), (height * 0.9)] | |
| ] | |
| ]; | |
| for (var i = 0; i < tpoints.length; i++) { | |
| append_(tpoints[i], i); | |
| var rights = get_rights(tpoints[i]); | |
| for (var j = 0; j < rights.length; j++) { | |
| append_(rights[j], j); | |
| tpoints.push(rights[j]); | |
| } | |
| //0, 2, 6, 14, 30, 90, 126 | |
| if (i == 126) { | |
| break; | |
| } | |
| } | |
| function append_(rtrng, i_) { | |
| var pts = rtrng[0][0] + "," + rtrng[0][1] + ", " + rtrng[1][0] + "," + rtrng[1][1] + ", " + rtrng[2][0] + "," + rtrng[2][1]; | |
| svg.append("polygon") | |
| .attr("stroke", "#2C3E50") | |
| .attr("stroke-width", "0.2") | |
| .style("fill", "rgba(174, 168, 211, 0.15)") | |
| .attr("points", pts); | |
| return; | |
| } | |
| } | |
| fractals_random_b(); | |
| </script> | |
| </body> |
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