Octahedral Rhombic Dodecahedron Cluster

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En example of how the Kabai Geometrical Modeling System can be used.
  1. Sándor Kabai
  2. Dodecahedron
  3. Rhombic Dodecahedron
  4. Octahedral Symmetry
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I am trying to visualize the sphere packing of spheres in ABABAB, ABCABC, and Face-Centered Cubic.  Does each sphere fit into the Rhombic Dodecahedron, or is there another shape differing between the ABABAB and ABCABC stacking?

jeffkaylin