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stereographic4.html
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stereographic4.html
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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<title>MathBox - 4D Stereographic</title>
<script src="../../build/mathbox-bundle.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css">
<meta name="viewport" content="initial-scale=1, maximum-scale=1">
</head>
<body>
<script>
// Init MathBox
mathbox = mathBox({
plugins: ['core', 'controls', 'cursor', 'stats'],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
// Set camera and background
three.camera.position.set(2.3, 1, 2);
three.camera.lookAt(new THREE.Vector3());
three.renderer.setClearColor(new THREE.Color(0xFFFFFF), 1.0);
// Animation routine
time = 0
first = true
q1 = new THREE.Quaternion();
q2 = new THREE.Quaternion();
b1 = b2 = 0;
boing = 0
three.on('update', function () {
time = three.Time.now
// Slerp to oscillating target quaternion
q1.x = Math.cos(time * .123);
q1.y = Math.cos(time * .224 - 1);
q1.z = Math.cos(time * .161 + 1);
q1.w = Math.cos(time * .193 + 2);
q1.normalize();
q2.slerp(q1, .05);
if (first) q2.copy(q1);
first = false;
// Boing effect
f = .05;
b1 += (b2 - b1) * f;
b2 += (boing - b2) * f;
boing *= .995;
s = .7 + b1;
// Use slerped q as rotation
wrapper.set('quaternion', q2);
// Use target as projection offset
view.set('position', [q1.x * s, q1.y * s, q1.z * s, q1.w * s]);
});
// Boing onclick
three.bind('element.click', { click: function () {
boing += 1;
} });
// Stereographic 4D
wrapper = mathbox.transform();
view = wrapper.stereographic4({
range: [[-4, 4], [-4, 4], [-4, 4], [-1, 1]],
scale: [4, 4, 4, 1],
}).transform4();
/// Grids
view.transform4({
position: [1, 0, 0, 0],
})
.grid({
axes: [2, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [3, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [2, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
});
///
view.transform4({
position: [0, 1, 0, 0],
})
.grid({
axes: [1, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [3, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [1, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
});
///
view.transform4({
position: [0, 0, 1, 0],
})
.grid({
axes: [1, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [2, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [1, 2],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
});
///
view.transform4({
position: [-1, 0, 0, 0],
})
.grid({
axes: [2, 4],
detailX: 75,
detailY: 31,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [3, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [2, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
});
///
view.transform4({
position: [0, -1, 0, 0],
})
.grid({
axes: [1, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [3, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [1, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
});
///
view.transform4({
position: [0, 0, -1, 0],
})
.grid({
axes: [1, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [2, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [1, 2],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
});
///
view.transform4({
position: [0, 0, 0, 1],
})
.grid({
axes: [1, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [2, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [1, 2],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
});
///
view.transform4({
position: [0, 0, 0, -1],
})
.grid({
axes: [1, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [2, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
})
.grid({
axes: [1, 2],
detailX: 75,
detailY: 75,
width: 2,
opacity: .5,
zBias: -60,
});
</script>
</body>
</html>