Recall the rotation of 4 cubes plus 1 cube stationary.

Rotating Cubes |

If we take a snap shot right in the middle of the cube rotations, we have the following image.

Middle of Rotations. |

This actually corresponds to a rhombic Dodecahedron.

5 Cubes define a Rhombic Dodecahedron |

Here are several other images of the 5 cubes defining a rhmobic Dodecahedron.

5 Cubes define a Rhombic Dodecahedron |

5 Cubes define a Rhombic Dodecahedron |

5 Cubes define a Rhombic Dodecahedron |

So, during the rotation of the 4 cubes, with an additional cube stationary, the cubes define a regular Dodecahedron, then, at the half-way point, a rhombic Dodecahedron, and finally, another regular Dodecahedron with an opposite face orientation to the first regular Dodecahedron.

Two differnet orientations of the regular Dodecahedron. |

Copyright November 2001, Robert W. Gray