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<!DOCTYPE html>
<html>
<head>
<title>bald four dimensional thing</title>
<style>
canvas { border: 1px solid black; border-radius:5px }
body {background: url(https://upload.wikimedia.org/wikipedia/en/2/27/Bliss_%28Windows_XP%29.png) no-repeat center center fixed;background-size:cover;}
body {color:black; font-family:sans-serif; text-shadow: 10px 10px red;}
</style>
</head>
<body>
<h1>maths</h1>
<canvas width=500 height=500 id=canvas></canvas><br>
<input type="range" id="zx" min="-5" max="5" step="0.05" value="1.15"><span id=zxd>1.15</span><br>
<input type="range" id="zy" min="-5" max="5" step="0.05" value="-1.05"><span id=zyd>-1.05</span><br>
<input type="range" id="wx" min="-5" max="5" step="0.05" value="0.3"><span id=wxd>0.3</span><br>
<input type="range" id="wy" min="-5" max="5" step="0.05" value="0.95"><span id=wyd>0.95</span><br>
<input type="checkbox" checked id="spin"><label for=spin>spin</label><br>
<input type="checkbox" id="wiggle"><label for=wiggle>wiggle</label>
<script>
var zx = 1.15;
var zy = -1.05;
var wx = 0.3;
var wy = 0.95;
document.getElementById("zx").addEventListener("input", function(e) {
var val = this.value;
zx = val;
document.getElementById("zxd").innerHTML = val.toString();
go();
});
document.getElementById("zy").addEventListener("input", function(e) {
var val = this.value;
zy = val;
document.getElementById("zyd").innerHTML = val.toString();
go();
});
document.getElementById("wx").addEventListener("input", function(e) {
var val = this.value;
wx = val;
document.getElementById("wxd").innerHTML = val.toString();
go();
});
document.getElementById("wy").addEventListener("input", function(e) {
var val = this.value;
wy = val;
document.getElementById("wyd").innerHTML = val.toString();
go();
});
var canvas = document.getElementById("canvas");
var ctx = canvas.getContext("2d");
function rotVert1(v,th) {
var c = Math.cos(th);
var s = Math.sin(th);
return [c*v[0] + s*v[2], v[1], -s*v[0] + c*v[2], v[3]];
}
function rotVert2(v,th) {
th /=1.11245;
var c = Math.cos(th);
var s = Math.sin(th);
return [c*v[0] + s*v[3], v[1], v[2], -s*v[0] + c*v[3],];
}
function rotVert(v,th) {
return rotVert1(rotVert2(v, th), th);
}
function projVert(v) {
return [v[0] + zx*v[2] + wx*v[3], v[1] + zy*v[2] + wy*v[3]];
}
function niceVert(v) {
return [60*v[0]+250, 60*v[1]+250]
}
var vertices = [
[-1,-1,-1, 1],
[-1,-1, 1, 1],
[-1, 1,-1, 1],
[-1, 1, 1, 1],
[ 1,-1,-1, 1],
[ 1,-1, 1, 1],
[ 1, 1,-1, 1],
[ 1, 1, 1, 1],
[-1,-1,-1,-1],
[-1,-1, 1,-1],
[-1, 1,-1,-1],
[-1, 1, 1,-1],
[ 1,-1,-1,-1],
[ 1,-1, 1,-1],
[ 1, 1,-1,-1],
[ 1, 1, 1,-1]
];
var edges = [];
for (var i = 0; i < 16; i++) {
for (var j = 0; j < 16; j++) {
var v1 = vertices[i];
var v2 = vertices[j];
var d = 0;
for (var p = 0; p < 4; p++) {
if (v1[p] != v2[p]) {
d += 1;
}
}
if (d==1) {
edges.push([i,j]);
}
}
}
ctx.fillStyle = "red";
ctx.strokeStyle = "white";
var angle = 0;
var frame = 0;
var gradient = ctx.createLinearGradient(0,0,500,0);
gradient.addColorStop("0","hotpink");
gradient.addColorStop("0.5","orange");
gradient.addColorStop("1.0","lightsteelblue");
function go() {
ctx.fillStyle="purple";
ctx.fillRect(0,0,500,500);
ctx.fillStyle=gradient;
for (var i = 0; i < 16; i++) {
var v = vertices[i];
var p = niceVert(projVert(rotVert(v,angle)));
ctx.fillRect(p[0]-10,p[1]-10,20,20);
}
for (var x = 0; x < edges.length; x++) {
var e = edges[x];
var v1 = vertices[e[0]];
var v2 = vertices[e[1]];
var p1 = niceVert(projVert(rotVert(v1,angle)));
var p2 = niceVert(projVert(rotVert(v2,angle)));
ctx.beginPath();
ctx.moveTo(p1[0],p1[1]);
ctx.lineTo(p2[0],p2[1]);
ctx.stroke();
}
}
function wiggle() {
for (var x = 0; x < 16; x++) {
for (var v = 0; v < 4; v++) {
if (Math.random() > 0.6) {
vertices[x][v] += (Math.random() - 0.5)/10;
}
}
}
}
function step() {
go();
if (document.getElementById("spin").checked) {
angle += 0.05;
}
if (document.getElementById("wiggle").checked) {
wiggle();
}
frame += 1;
requestAnimationFrame(step);
}
step();
</script>
</body>
</html>
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