RotatingBoxes.ipynb

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   "source": [
    "from vpython import *\n",
    "scene = canvas() # This is needed in Jupyter notebook and lab to make programs easily rerunnable\n",
    "from time import clock\n",
    "\n",
    "N = 10\n",
    "\n",
    "scene.title = \"{} by {} by {} = {} rotating boxes\".format(N,N,N,N**3)\n",
    "\n",
    "boxes = []\n",
    "\n",
    "L = 6\n",
    "scene.range = L\n",
    "length = 0.6*L/N\n",
    "height = 0.4*L/N\n",
    "\n",
    "for x in range(N):\n",
    "    for y in range(N):\n",
    "        for z in range(N):\n",
    "            b = box(color=vector(x/N,y/N,z/N),\n",
    "                pos=vector(L*(x/(N-1)-.5),L*(y/(N-1)-.5),L*(z/(N-1)-.5)),\n",
    "                size=vector(length,height,length))\n",
    "            boxes.append(b)\n",
    "\n",
    "t = 0\n",
    "dt = 0.01\n",
    "loops = 0\n",
    "ctime = 0\n",
    "start = clock()\n",
    "N = 200\n",
    "\n",
    "# 6.4/100\n",
    "\n",
    "while True:\n",
    "    if loops == N:\n",
    "        s = '{:0.1f} millisecond computation per loop'.format(1000*ctime/loops)\n",
    "        s += '\\n{:3.0f} loops per second'.format(loops/(clock()-start))\n",
    "        scene.caption = s\n",
    "        ctime = 0\n",
    "        loops = 0\n",
    "        start = clock()\n",
    "    rate(N)\n",
    "    t += dt\n",
    "    ct = clock()\n",
    "    v = length*vector(sin(t), 0, cos(t))\n",
    "    for b in boxes:\n",
    "        b.axis = v\n",
    "    ctime += clock()-ct\n",
    "    loops += 1"
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