body {
  margin: 0;
  overflow: hidden;
}
let scene, camera, renderer, controls, rollObject, group;

const rotateConditions = {
  right: { axis: "x", value: 1 },
  left: { axis: "x", value: -1 },
  top: { axis: "y", value: 1 },
  bottom: { axis: "y", value: -1 },
  front: { axis: "z", value: 1 },
  back: { axis: "z", value: -1 }
};

const colorConditions = [
  ["x", 1, "green"],
  ["x", -1, "orange"],
  ["y", 1, "red"],
  ["y", -1, "yellow"],
  ["z", 1, "blue"],
  ["z", -1, "white"]
];

const step = Math.PI / 100;
const faces = ["front", "back", "left", "right", "top", "bottom"];
const directions = [-1, 1];
const cPositions = [-1, 0, 1];
let cubes = [];

const vertexShader = `
varying vec2 vUv;

void main() {
  vUv = uv;
  gl_Position = projectionMatrix * modelViewMatrix * vec4( position, 1.0 );
}
`;

const fragmentShader = `
varying vec2 vUv;
uniform vec3 faceColor;

void main() {
    vec3 border = vec3(0.533);
    float bl = smoothstep(0.0, 0.03, vUv.x);
    float br = smoothstep(1.0, 0.97, vUv.x);
    float bt = smoothstep(0.0, 0.03, vUv.y);
    float bb = smoothstep(1.0, 0.97, vUv.y);
    vec3 c = mix(border, faceColor, bt*br*bb*bl);
    gl_FragColor = vec4(c, 1.0);
}
`;
const createMaterial = (color) =>
  new THREE.ShaderMaterial({
    fragmentShader,
    vertexShader,
    uniforms: { faceColor: { type: "v3", value: color } }
  });

const materials = Object.entries({
  blue: new THREE.Vector4(0.011, 0.352, 0.65),
  red: new THREE.Vector4(0.847, 0.203, 0.372),
  white: new THREE.Vector4(0.956, 0.956, 0.956),
  green: new THREE.Vector4(0.054, 0.486, 0.117),
  yellow: new THREE.Vector4(0.807, 0.725, 0.07),
  orange: new THREE.Vector4(0.792, 0.317, 0.086),
  gray: new THREE.Vector4(0.301, 0.243, 0.243)
}).reduce((acc, [key, val]) => ({ ...acc, [key]: createMaterial(val) }), {});

function init() {
  const { innerHeight, innerWidth } = window;
  scene = new THREE.Scene();
  const canvas = document.createElement("canvas");
  document.body.appendChild(canvas);

  renderer = new THREE.WebGLRenderer({ antialias: true, canvas });
  renderer.setClearColor("#000");
  renderer.setSize(innerWidth, innerHeight);
  renderer.setPixelRatio(window.devicePixelRatio);
  camera = new THREE.PerspectiveCamera(45, innerWidth / innerHeight, 1, 1000);
  camera.position.set(6, 6, 6);
  controls = new THREE.OrbitControls(camera, canvas);

  window.addEventListener("resize", onWindowResize, false);
  createObjects();
}

function onWindowResize() {
  const { innerWidth, innerHeight } = window;
  camera.aspect = innerWidth / innerHeight;
  camera.updateProjectionMatrix();
  renderer.setSize(innerWidth, innerHeight);
}

class Roll {
  constructor(face, direction) {
    this.face = face;
    this.stepCount = 0;
    this.active = true;
    this.init();
    this.direction = direction;
  }

  init() {
    cubes.forEach((item) => {
      if (item.position[this.face.axis] == this.face.value) {
        scene.remove(item);
        group.add(item);
      }
    });
  }
  rollFace() {
    if (this.stepCount != 50) {
      group.rotation[this.face.axis] += this.direction * step;
      this.stepCount += 1;
    } else {
      if (this.active) {
        this.active = false;
        this.clearGroup();
      }
    }
  }

  clearGroup() {
    for (var i = group.children.length - 1; i >= 0; i--) {
      let item = group.children[i];
      item.getWorldPosition(item.position);
      item.getWorldQuaternion(item.rotation);
      item.position.x = Math.round(item.position.x);
      item.position.y = Math.round(item.position.y);
      item.position.z = Math.round(item.position.z);
      group.remove(item);
      scene.add(item);
    }
    group.rotation[this.face.axis] = 0;
  }
}

function createObjects() {
  const geometry = new THREE.BoxGeometry(1, 1, 1);
  let createCube = (position) => {
    let mat = [];
    for (let i = 0; i < 6; i++) {
      let cnd = colorConditions[i];
      if (position[cnd[0]] == cnd[1]) {
        mat.push(materials[cnd[2]]);
      } else {
        mat.push(materials.gray);
      }
    }
    const cube = new THREE.Mesh(geometry, mat);
    cube.position.set(position.x, position.y, position.z);
    cubes.push(cube);
    scene.add(cube);
  };

  cPositions.forEach((x) => {
    cPositions.forEach((y) => {
      cPositions.forEach((z) => {
        createCube({ x, y, z });
      });
    });
  });

  group = new THREE.Group();
  scene.add(group);
  rollObject = new Roll(rotateConditions["top"], -1);
}

function update() {
  if (rollObject) {
    if (rollObject.active) {
      rollObject.rollFace();
    } else {
      rollObject = new Roll(
        rotateConditions[faces[Math.floor(Math.random() * faces.length)]],
        directions[Math.floor(Math.random() * directions.length)]
      );
    }
  }
}

function render() {
  requestAnimationFrame(render);
  update();
  renderer.render(scene, camera);
}

init();
render();

External CSS

This Pen doesn't use any external CSS resources.

External JavaScript

  1. https://cdnjs.cloudflare.com/ajax/libs/three.js/110/three.js
  2. https://unpkg.com/three@0.85.0/examples/js/controls/OrbitControls.js