Edit in JSFiddle

final int BOX_SIZE = 100;
PImage tex;
void setup() {
  size(200, 200, P3D);
  
  tex = createImage(0x80, 0x80, RGB);
  tex.loadPixels();
  for(int i = 0; i < tex.width; i++) {
    for(int j = 0; j < tex.height; j++) {
      tex.set(i, j, 
        (floor(i / 0x20) + floor(j / 0x20)) % 2 == 0 ?
          color(0xcc) : color(0xff));
    }
  }
  tex.updatePixels();
}

void draw() {
  background(0xff);
  
  camera();
  lights();
  noStroke();
  translate(.5 * width, .5 * height);
  
  float angle = radians(millis() * 0.015);
  
  rotateZ(angle);
  rotateX(angle);
  rotateY(angle);
  
  drawBox(BOX_SIZE);
  
}

void drawBox(float boxSize) {
  pushMatrix();
    for(int i = 0; i < 4; i++) {
      rotateY(i * HALF_PI);
      pushMatrix();
        translate(0, 0, -.5 * boxSize);
        drawPlane(boxSize, boxSize, tex);
      popMatrix();
    }

    for(int i = 0; i < 2; i++) {
      rotateX(HALF_PI + i * HALF_PI);
      pushMatrix();
        translate(0, 0, -.5 * boxSize);
        drawPlane(boxSize, boxSize, tex);
      popMatrix();
    }
  popMatrix();
}

void drawPlane(float w, float h, PImage img) {
  float halfWidth = .5 * w;
  float halfHeight = .5 * h;
  beginShape();
    textureMode(NORMAL);
    texture(img);
    vertex(-halfWidth, -halfHeight, 0, 0, 0);
    vertex(-halfWidth,  halfHeight, 0, 0, 1);
    vertex( halfWidth,  halfHeight, 0, 1, 1);
    vertex( halfWidth, -halfHeight, 0, 1, 0);
  endShape(CLOSE);
}
<canvas width="200px" height="200px"></canvas>

body {
    background-color:#fff;
}
</style> 
<script type="text/javascript">
    window.addEventListener('load',function() {
    var scripts = document.body.getElementsByTagName('script');
    var canvases = document.body.getElementsByTagName('canvas');
    new Processing(canvases[0],scripts[0].text);
}, false);
// Here prevent javascript in body from throwing error
</script>
<style>