Pythagorean Triples

_.md

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config.json

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inlet.js

//draws all pythagorean triples with perimeters less than specified

//max perimeter (CAUTION: high values take a long time to calculate)
var perimeter = 578;

//storage for the triples
var triples = [];

//calculate the triples (brute force)
for(var c=1; c<perimeter; c++)
	for(var b=1; b<(perimeter-c); b++)
		for(var a=1; a<(perimeter-(b+c)); a++)
			if((a*a + b*b) === c*c)
				triples.push({A:a, B:b, C:c});

//draw the triples
var svg = d3.select("svg");
var triangles = svg.append("svg:g");

//var colorScale = d3.scale.category20();
//var colorScale = d3.scale.ordinal()
//    .range(["#0A8B58", "#1B8397", "#B63B3B"])
var colorScale = d3.scale.linear()
    .domain([0, perimeter])
    .range(["#0A8B58", "#971B52"])
    .interpolate(d3.interpolateHcl)
    //.interpolate(d3.interpolateHsl)

triangles.selectAll().data(triples).enter().append('line')
  .attr({
    "x1":function(d){return d.A},
	"y2":function(d){return d.B},
    "transform": "scale(" + 10.08 + ")"
  })
  .style({
    "stroke": function(d,i) {
      return colorScale(d.A+d.B+d.C);
    },
    "stroke-width":0.35693,
    "stroke-opacity": 0.31329
  })
;