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Index Entry
A and B Modules: Rhombic Dodecahedron:
“We find you can make one-quarter tetrahedra out of A particles and you can superimpose them on the octahedron which has eight faces. (The octahedron we found was made of A’s and B’s.) So we can add a little pyramid to each of the eight faces of the octahedron. Because there are twelve edges on the octahedron there are twelve diamond faces and this is called the rhombic dodecahedron. It can be made up entirely of A’s and B’s; we find its volume coming out in whole units of A’s and B’s and we find that its total volume is six. The tetrahedron has a volume of one, the cube three, the octahedron four and the rhombic dodecahedron six. The rhombic dodecahedron is an all-space filler like the cube. I have seen quite a few of them being made around the architectural schools and you will find nature using them a great deal. If you go out into Colorado and Arizona you will often find in rocky fields the rhombic dodecahedra crystals which nature uses to fill space. This is one of the most common naturally occurring crystals.”
