Published
Edited
Oct 17, 2019
7 stars
position = (a, b, u, v) => {
// Auxiliary functions C(), S()
const C = (theta, eps) => (
Math.sign(Math.cos(theta)) * Math.abs(Math.cos(theta))**eps
);
const S = (theta, eps) => (
Math.sign(Math.sin(theta)) * Math.abs(Math.sin(theta))**eps
);
return new THREE.Vector3(
(a + C(u, s)) * C(v, t),
(b + C(u, s)) * S(v, t),
S(u, s)
);
}
supertoroid = function(s, t) {
const meshes = [];
// Use constant value 2 for a, b
const a = 2;
const b = 2;
const du = Math.PI / 20;
const dv = Math.PI / 20;
d3.range(0, 2*Math.PI, du).forEach(u => {
d3.range(0, 2*Math.PI, dv).forEach(v => {
const param = [
{u: u, v: v },
{u: u+du, v: v },
{u: u+du, v: v+dv},
{u: u, v: v+dv}
];
meshes.push(rect(
...param.map(p => position(a, b, p.u, p.v)),
materials[material]
));
});
});
return meshes;
}
// Make a Plane mesh with specified Material
rect = (v1, v2, v3, v4, material) => {
const planeGeometry = new THREE.Geometry();
// add vertices
[v1, v2, v3, v4].forEach(v => planeGeometry.vertices.push(v));
// add faces
planeGeometry.faces.push(new THREE.Face3(0, 1, 2));
planeGeometry.faces.push(new THREE.Face3(2, 3, 0));
planeGeometry.computeFaceNormals();
// mesh
const plane = new THREE.Mesh( planeGeometry, material );
return plane;
}
scene = {
const scene = new THREE.Scene();
scene.background = new THREE.Color(0x202020);
supertoroid(s, t).forEach(m => scene.add(m));
return scene;
}
camera = {
const fov = 45;
const aspect = width / height;
const near = 0.1;
const far = 1000;
const camera = new THREE.PerspectiveCamera(fov, aspect, near, far);
camera.position.set(6, 4, 8)
camera.lookAt(new THREE.Vector3(0, 0, 0));
return camera;
}
One platform to build and deploy the best data apps
Experiment and prototype by building visualizations in live JavaScript notebooks. Collaborate with your team and decide which concepts to build out.
Use Observable Framework to build data apps locally. Use data loaders to build in any language or library, including Python, SQL, and R.
Seamlessly deploy to Observable. Test before you ship, use automatic deploy-on-commit, and ensure your projects are always up-to-date.