/
procedural.html
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/
procedural.html
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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Procedural Vectors</title>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/build/three.min.js"
></script>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/examples/js/controls/OrbitControls.js"
></script>
<!--
- a minified version mathbox.min.js is also available;
- recommend using a specific version (not @latest) in public sites
-->
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/mathbox@latest/build/bundle/mathbox.js"
></script>
<link
rel="stylesheet"
href="https://cdn.jsdelivr.net/npm/mathbox@latest/build/mathbox.css"
/>
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(3.5, 1.4, -2.3);
three.renderer.setClearColor(new THREE.Color(0x204060), 1.0);
time = 0;
three.on("update", function () {
clock = three.Time.clock;
time = clock / 4;
t = Math.max(clock - 1, 0) / 12;
t = t < 0.5 ? t * t : t - 0.25;
o = 0.5 - 0.5 * Math.cos(Math.min(1, t) * MathBox.π);
c = Math.cos(t);
s = Math.sin(t);
view.set("quaternion", [0, -s, 0, c]);
surface.set("opacity", 1 - o * 0.25);
f = 1 + o;
view.set("range", [
[-3 * f, 3 * f],
[0, 6],
[-3 * f, 3 * f],
]);
view.set("scale", [2 * f, 2, 2 * f]);
});
view = mathbox
.unit({
scale: 720,
})
.cartesian({
range: [
[-3, 3],
[0, 6],
[-3, 3],
],
scale: [2, 2, 2],
});
view.grid({
width: 5,
opacity: 0.5,
axes: [1, 3],
});
view.area({
width: 36,
height: 36,
items: 2,
axes: [1, 3],
expr: function (emit, x, y, i, j) {
a = Math.sin(i * 31.718 - time) * Math.sin(j * 21.131 + time);
b =
Math.sin(i * 27.41 + time) *
Math.sin(j * 11.91 + 5 * Math.cos(i * 4.1) + time);
emit(x, 3 * (1 + a), y);
emit(x, 3 * (1 + a + b * 0.25), y);
},
channels: 3,
});
view.vector({
color: 0xa0d0ff,
width: 5,
start: false,
end: true,
});
view.area({
id: "sampler",
width: 83,
height: 83,
axes: [1, 3],
expr: function (emit, x, y, i, j) {
emit(
x,
3 * (0.5 + 0.5 * (Math.sin(x + time) * Math.sin(y + time))),
y
);
},
channels: 3,
});
view.surface({
lineX: true,
lineY: true,
shaded: true,
color: 0x5090ff,
width: 5,
});
surface = mathbox.select("surface");
vector = mathbox.select("vector");
</script>
</body>
</html>