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JavaScript

// Daniel Shiffman
// http://youtube.com/thecodingtrain
// http://codingtra.in
// JavaScript transcription: Chuck England
// Coding Challenge #113: 4D Hypercube
// https://youtu.be/XE3YDVdQSPo
// Matrix Multiplication
// https://youtu.be/tzsgS19RRc8
let angle = 0;
let points = [];
function windowResized() {
resizeCanvas(innerWidth/2,innerHeight);
}
function setup() {
var cnv = createCanvas(innerWidth/2, windowHeight, WEBGL);
cnv.position(0,0);
cnv.style('z-index','-10')
points[0] = new P4Vector(-1, -1, -1, 1);
points[1] = new P4Vector(1, -1, -1, 1);
points[2] = new P4Vector(1, 1, -1, 1);
points[3] = new P4Vector(-1, 1, -1, 1);
points[4] = new P4Vector(-1, -1, 1, 1);
points[5] = new P4Vector(1, -1, 1, 1);
points[6] = new P4Vector(1, 1, 1, 1);
points[7] = new P4Vector(-1, 1, 1, 1);
points[8] = new P4Vector(-1, -1, -1, -1);
points[9] = new P4Vector(1, -1, -1, -1);
points[10] = new P4Vector(1, 1, -1, -1);
points[11] = new P4Vector(-1, 1, -1, -1);
points[12] = new P4Vector(-1, -1, 1, -1);
points[13] = new P4Vector(1, -1, 1, -1);
points[14] = new P4Vector(1, 1, 1, -1);
points[15] = new P4Vector(-1, 1, 1, -1);
}
function draw() {
background(255,255,255,0);
rotateX(-PI / 2);
let projected3d = [];
for (let i = 0; i < points.length; i++) {
const v = points[i];
const rotationXY = [
[cos(angle), -sin(angle), 0, 0],
[sin(angle), cos(angle), 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 1],
];
const rotationZW = [
[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, cos(angle), -sin(angle)],
[0, 0, sin(angle), cos(angle)]
];
let rotated = matmul(rotationXY, v);
rotated = matmul(rotationZW, rotated);
let distance = 2;
let w = 1 / (distance - rotated.w); //lunghezza interna
const projection = [
[w, 0, 0, 0],
[0, w, 0, 0],
[0, 0, w, 0],
];
let projected = matmul(projection, rotated);
projected.mult(width / 8); //zoom in
projected3d[i] = projected;
strokeWeight(10);
strokeWeight(80);
// stroke(220,10,210);
stroke(20,240,40);
point(projected.x, projected.y, projected.z);
}
// Connecting
for (let i = 0; i < 4; i++) {
connect(0, i, (i + 1) % 4, projected3d);
connect(0, i + 4, ((i + 1) % 4) + 4, projected3d);
connect(0, i, i + 4, projected3d);
}
for (let i = 0; i < 4; i++) {
connect(8, i, (i + 1) % 4, projected3d);
connect(8, i + 4, ((i + 1) % 4) + 4, projected3d);
connect(8, i, i + 4, projected3d);
}
for (let i = 0; i < 8; i++) {
connect(0, i, i + 8, projected3d);
}
//angle = map(mouseX, 0, width, 0, TWO_PI);
angle += 0.03;
}
function connect(offset, i, j, points) {
strokeWeight(10);
stroke(20,240,40);
// stroke(255);
const a = points[i + offset];
const b = points[j + offset];
line(a.x, a.y, a.z, b.x, b.y, b.z);
}