Fractal of the form in which an equilateral triangle's base is divided into 2 child equilateral triangles, and a third child is inserted exactly in the middle of two children. Moving forward, these three children are processed recursively until a particular cutoff limit is reached.
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April 19, 2016 16:27
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Random Fractals - III
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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], middle_point(points[0], points[2])), | |
| middle_point(middle_point(points[0], points[1]), middle_point(points[1], points[2])), | |
| middle_point(middle_point(points[0], points[2]), points[2]) | |
| ], | |
| [ | |
| middle_point(points[0], points[2]), | |
| middle_point(points[1], points[2]), | |
| points[2] | |
| ] | |
| ]; | |
| } | |
| function fractals_random_c() { | |
| 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]); | |
| var rights = get_rights(tpoints[i]); | |
| for (var j = 0; j < rights.length; j++) { | |
| append_(rights[j]); | |
| tpoints.push(rights[j]); | |
| } | |
| if (i == 1000) { //terminating at some random limit | |
| break; | |
| } | |
| } | |
| d3.selectAll('polygon') | |
| .on('mouseover', function() { | |
| return $(this).attr("stroke", "#F9690E"); | |
| d3.event.stopPropagation(); | |
| }) | |
| .on('mouseout', function() { | |
| return $(this).attr("stroke", "none"); | |
| d3.event.stopPropagation(); | |
| }); | |
| function append_(rtrng) { | |
| 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", "none") | |
| .attr("stroke-width", "0.6") | |
| .attr("shape-rendering", "geometricPrecision") | |
| .style("fill", "rgba(30, 139, 195, 0.06)") | |
| .attr("points", pts); | |
| return; | |
| } | |
| } | |
| fractals_random_c(); | |
| </script> | |
| </body> |
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