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refactored.golden-ratio.html
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<html>
<!--
Copyright (C) 2012 David Xia
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
-->
<head>
<title>Golden Ratio Fun</title>
<script type="text/javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/1.4.4/jquery.min.js"></script>
<script type="text/javascript">
function loadCanvas(){
var TOTAL_RECTANGLES = 400;
// get available screen size
var availWidth = $(window).width() - 20;
var availHeight = $(window).height() - 20;
// instantiate golden ratio constant
var PHI = (1+ Math.sqrt(5))/2;
//Other helpful stuff
var PI = Math.PI;
var HalfPI = 0.5 * PI;
var ThreeHalvesPI = 3 * HalfPI;
// resize canvas based on golden ratio
if(availWidth/availHeight > PHI){
availWidth = availHeight * PHI;
} else if(availWidth/availHeight < PHI){
availHeight = availWidth/PHI;
}
// add canvas HTML tag to body
var canvasTag = '<canvas id="canvas" width="'+availWidth+'" height="'+availHeight+'"></canvas>';
$('body').html(canvasTag);
// prepare to draw
var canvas = $('canvas').get(0);
if(canvas.getContext){
var ctx = canvas.getContext('2d');
}
var y = [],
x = [];
x[0] = availWidth/PHI;
x[1] = availWidth - (availWidth-x[0])/PHI;
y[0] = availHeight/PHI;
y[1] = availHeight - (availHeight-y[0])/PHI;
function fillWithStuff(array) {
for (var i = 2; i < TOTAL_RECTANGLES; i++) {
var div2 = i % 2 == 0,
lastEven = array[ div2 ? i - 2 : i - 1],
lastOdd = array[ div2 ? i - 1: i - 2]
twoAgo = array[i - 2],
sign = div2 ? 1 : -1;
array[i] = twoAgo + sign * ( lastOdd - lastEven ) / PHI;
}
}
fillWithStuff(x);
fillWithStuff(y);
// draw first inner golden rectangle
ctx.beginPath();
ctx.moveTo(x[0], 0);
ctx.lineTo(x[0], availHeight);
ctx.stroke();
// draw arc 1
ctx.beginPath();
ctx.moveTo(x[0], availHeight);
ctx.arc(x[0], availHeight, x[0], PI, ThreeHalvesPI);
ctx.stroke();
// draw second inner rectangle
ctx.beginPath();
ctx.moveTo(x[0], y[0]);
ctx.lineTo(availWidth, y[0]);
ctx.stroke();
// draw arc 2
ctx.beginPath();
ctx.moveTo(x[0], y[0]);
ctx.arc(x[0], y[0], y[0], ThreeHalvesPI, 0);
ctx.stroke();
// draw 3rd
ctx.beginPath();
ctx.moveTo(x[1], y[0]);
ctx.lineTo(x[1], availHeight);
ctx.stroke();
// draw arc 3
ctx.beginPath();
ctx.moveTo(availWidth, y[0]);
ctx.arc(x[1], y[0], (availHeight-y[0]), 0, (HalfPI));
ctx.stroke();
// // draw 4th
// ctx.beginPath();
// ctx.moveTo(x[0], y[1]);
// ctx.lineTo(x[1], y[1]);
// ctx.stroke();
for (var i = 4; i < TOTAL_RECTANGLES * 2; i++) {
drawNumber(i);
}
// draw arc 4
ctx.beginPath();
ctx.moveTo(x[1], y[1]);
ctx.arc(x[1], y[1], (availHeight-y[1]), (HalfPI), PI);
ctx.stroke();
// draw arc 5
ctx.beginPath();
ctx.moveTo(x[2], y[1]);
ctx.arc(x[2], y[1], (x[2]-x[0]), PI, ThreeHalvesPI);
ctx.stroke();
// draw arc
ctx.beginPath();
ctx.moveTo(x[2], y[2]);
ctx.arc(x[2], y[2], (x[1]-x[2]), ThreeHalvesPI, 0);
ctx.stroke();
// draw arc
ctx.beginPath();
ctx.moveTo(x[3], y[2]);
ctx.arc(x[3], y[2], (x[1]-x[3]), 0, (HalfPI));
ctx.stroke();
// draw arc
ctx.beginPath();
ctx.moveTo(x[3], y[3]);
ctx.arc(x[3], y[3], (x[3]-x[2]), (HalfPI), PI);
ctx.stroke();
// draw arc
ctx.beginPath();
ctx.moveTo(x[4], y[3]);
ctx.arc(x[4], y[3], (x[4]-x[2]), PI, ThreeHalvesPI);
ctx.stroke();
// draw arc
ctx.beginPath();
ctx.moveTo(x[4], y[4]);
ctx.arc(x[4], y[4], (x[3]-x[4]), ThreeHalvesPI, 0);
ctx.stroke();
// draw arc
ctx.beginPath();
ctx.moveTo(x[5], y[4]);
ctx.arc(x[5], y[4], (x[3]-x[5]), 0, (HalfPI));
ctx.stroke();
// draw arc
ctx.beginPath();
ctx.moveTo(x[5], y[5]);
ctx.arc(x[5], y[5], (x[5]-x[4]), (HalfPI), PI);
ctx.stroke();
function drawArc(i) {
var div2 = i % 2 == 0,
half = Math.floor(i / 2),
theta0 = HalfPI * ((i % 4) + 1),
theta1 = theta0 + HalfPI,
x0 =
x1 =;
// draw arc
ctx.beginPath();
ctx.moveTo(x[5], y[5]);
ctx.arc(x[5], y[5], (x[5]-x[4]), theta0, theta1);
ctx.stroke();
}
function drawNumber(i) {
var div2 = i % 2 == 0,
half = Math.floor(i / 2),
x0 = half - (div2 ? 2 : 0),
x1 = half - (div2 ? 1 : 0),
y0 = half - (div2 ? 1 : 2),
y1 = half - (div2 ? 1 : 1);
ctx.beginPath();
ctx.moveTo(x[x0], y[y0]);
ctx.lineTo(x[x1], y[y1]);
ctx.stroke();
}
}
// redraws golden rectangles if window is resized
$(window).resize(function() {
loadCanvas();
});
</script>
<style type="text/css">
canvas { border: 2px solid black; }
</style>
</head>
<body onload="loadCanvas()">
</body>
</html>