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HTML
!

CSS 

              
                canvas {
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}
!

JS 

              
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const size = 1;
const scene = new THREE.Scene();
const renderer = new THREE.WebGLRenderer({
  antialias: true
});
const camera = new THREE.PerspectiveCamera(45, window.innerWidth / window.innerHeight, 1, 100);
const light = new THREE.DirectionalLight(0xFFFFFF);
const geometry = new THREE.BoxGeometry(size, size, size);
const group = new THREE.Group();
let material = new THREE.MeshLambertMaterial({
  color: 0xFFFFFF
});

camera.position.set(size / 2, 0, Math.cbrt(boxes[0].length) * 4);
light.position.set(0, 100, 100);
scene.add(light);

const pivot = new THREE.Group();

group.position.set(-5, -5, -5);

pivot.add(group);
scene.add(pivot);

renderer.setSize(window.innerWidth, window.innerHeight);
document.body.appendChild(renderer.domElement);

render();

// window.addEventListener('keydown', (evt) => {
//   setBoxes(boxes[evt.key]);
// });

(() => {
  let i = 0;
  length = 6;
  diff = 1;
  
  setInterval(() => {
    i += diff;
    
    if (i === length - 1) {
      diff = -1;
    } else if (i === 0) {
      diff = 1;
    }
    
    setBoxes(boxes[i]);
  }, 100);
})();

function setBoxes(boxes) {
  resetBoxes();

  for (let i = 0; i < boxes.length; ++i) {
    ((i) => {
      switch (boxes[i]) {
        case 0:
          return;
          break;
        case 1:
          material = new THREE.MeshLambertMaterial({
            color: 0xFFFFFF
          });
          break;
        case 2:
          material = new THREE.MeshLambertMaterial({
            color: 0x888888
          });
          break;
      }

      const cube = new THREE.Mesh(geometry, material);
      const pos = getPosition(i, boxes);

      cube.position.set(
        pos.x * size,
        pos.y * size,
        pos.z * size
      );

      group.add(cube);
    })(i);
  }
}

function resetBoxes() {
  let i = group.children.length;
  
  while(i--) {
    group.remove(group.children[i]);
  }
}

function getPosition(i, boxes) {
  const length = boxes.length;

  const x = i % Math.cbrt(length);
  const y = 0 | i / Math.pow(Math.cbrt(length), 2);
  const z = 0 | i / Math.cbrt(length) % Math.cbrt(length);
  
  return { x, y, z };
}

function render() {
  pivot.rotation.y += .01;
  renderer.render(scene, camera);
  requestAnimationFrame(render);
}
!
999px

Console