Rotating Cubes
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. |