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Hyperbolic Grid
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| <!DOCTYPE HTML> | |
| <head> | |
| <script type="text/javascript" src="http://d3js.org/d3.v3.min.js"></script> | |
| </head> | |
| <body> | |
| <canvas width=1000 height=600></canvas> | |
| <script type="text/javascript"> | |
| var canvas = d3.select("canvas").node(); | |
| var xgrid = 10, | |
| ygrid = 10, | |
| k = 100; | |
| var context = canvas.getContext("2d"); | |
| context.translate(canvas.width/2, canvas.height/2); | |
| d3.select("canvas").on("mousemove", draw); | |
| function hyper(p) { | |
| //transform to radial hyperbolic | |
| var r = Math.sqrt(p[0]*p[0] + p[1]*p[1]), | |
| x1 = p[0] / (r + k), | |
| y1 = p[1] / (r + k); | |
| return [x1, y1]; | |
| } | |
| function draw() { | |
| context.fillStyle = "rgba(255,255,255,1)"; | |
| context.fillRect(-canvas.width/2,-canvas.height/2,canvas.width,canvas.height); | |
| context.strokeStyle = "rgba(0,0,0,0.4)"; | |
| var mouse = d3.mouse(this); | |
| var i = canvas.width; | |
| while (i -= xgrid) { | |
| context.beginPath(); | |
| var j = canvas.height; | |
| while (j -= ygrid) { | |
| var p = hyper([i+mouse[0]-canvas.width,j+mouse[1]-canvas.height]); | |
| var x = p[0]*canvas.width*.5; | |
| var y = p[1]*canvas.height*.5; | |
| if (j == ygrid) context.moveTo(x,y); | |
| context.lineTo(x,y); | |
| } | |
| context.stroke() | |
| } | |
| var j = canvas.height; | |
| while (j -= ygrid) { | |
| context.beginPath(); | |
| var i = canvas.width; | |
| while (i -= xgrid) { | |
| var p = hyper([i+mouse[0]-canvas.width,j+mouse[1]-canvas.height]); | |
| var x = p[0]*canvas.width*.5; | |
| var y = p[1]*canvas.height*.5; | |
| if (j == ygrid) context.moveTo(x,y); | |
| context.lineTo(x,y); | |
| } | |
| context.stroke() | |
| } | |
| } | |
| </script> |
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