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Hypocycloids
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| <!DOCTYPE html> | |
| <meta charset="utf-8"> | |
| <html> | |
| <head> | |
| <title>hypotrochoids or epitrochoid</title> | |
| <script src="http://d3js.org/d3.v3.min.js"></script> | |
| <script src="https://raw.githubusercontent.com/mbostock/d3/master/lib/colorbrewer/colorbrewer.js"></script> | |
| <style type="text/css"> | |
| .hypo { | |
| fill: none; | |
| stroke-width: 1px; | |
| } | |
| .circ { | |
| fill: none; | |
| stroke: #222; | |
| stroke-width: 0.25px; | |
| } | |
| </style> | |
| </head> | |
| <body> | |
| <script type="text/javascript"> | |
| var | |
| R = 365.242374, | |
| r = -29.53059, | |
| // r = 365, | |
| h = r, | |
| // rose | |
| // n = 10, | |
| // R = (2 * n * h) / (n + 1), | |
| // r = (n - 1) * h / (n + 1), | |
| width = 1000, | |
| height = width, | |
| scale = 1.05; | |
| var line = d3.svg.line() | |
| .x(function(d) { return d.x; }) | |
| .y(function(d) { return d.y; }) | |
| .interpolate("monotone"); | |
| var colorscale = d3.scale.ordinal() | |
| .domain([0, 2 * Math.PI]) | |
| .range(colorbrewer.RdYlBu[11]); | |
| var color = d3.scale.category20(); | |
| var metonic = d3.range(0, 235); | |
| var | |
| epitrochoid_x = function(phi) { return (R + r) * Math.cos(phi) - h * Math.cos((R + r) * phi / r); }, | |
| epitrochoid_y = function(phi) { return (R + r) * Math.sin(phi) - h * Math.sin((R + r) * phi / r); }, | |
| hypotrochoid_x = function(phi) { return (R - r) * Math.cos(phi) + h * Math.cos((R - r) * phi / r); }, | |
| hypotrochoid_y = function(phi) { return (R - r) * Math.sin(phi) - h * Math.sin((R - r) * phi / r); }; | |
| var choid = function(type) { | |
| var x, y; | |
| if (type === 'hypotrochoid') { | |
| x = hypotrochoid_x; | |
| y = hypotrochoid_y; | |
| } | |
| else if (type === 'epitrochoid') { | |
| x = epitrochoid_x; | |
| y = epitrochoid_y; | |
| } | |
| return function(n) { | |
| var start = 2 * n * Math.PI * r / R, | |
| end = 2 * (n + 1) * Math.PI * r / R; | |
| return line( | |
| d3.range(start, end, 0.01).map(function(phi) { | |
| return { | |
| x: x(phi), | |
| y: y(phi), | |
| }; | |
| }) | |
| ); | |
| }; | |
| }; | |
| var epi = choid('epitrochoid'), | |
| hypo = choid('hypotrochoid'); | |
| var svg = d3.select("body").append("svg") | |
| .attr('class', 'content') | |
| .attr("width", width) | |
| .attr("height", height); | |
| var g1 = svg | |
| .append("g") | |
| .attr("transform", "translate(" + width / 2 + "," + height / 2 + ")" + " scale(" + scale + ")"); | |
| var g2 = svg | |
| .append("g") | |
| .attr("transform", "translate(" + width / 2 + "," + height / 2 + ")" + " scale(" + scale + ")"); | |
| g1 | |
| .selectAll('path') | |
| .data(metonic) | |
| .enter() | |
| .append('path') | |
| .attr('class', 'hypo') | |
| .attr('stroke', function(d){ return color(d); }) | |
| .attr('d', function(d) { return hypo(d); }); | |
| // g2 | |
| // .selectAll('path') | |
| // .data(metonic) | |
| // .enter() | |
| // .append('path') | |
| // .attr('class', 'hypo') | |
| // .attr('stroke', function(d){ return color(d); }) | |
| // .attr('d', function(d) { return epi(d); }); | |
| </script> | |
| </body> | |
| </html> | |
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