Tetrahedron Built from Rhombic Dodecahedra or Spheres

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A tetrahedron can be built from rhombic dodecahedra or spheres. This Demonstration illustrates many interesting mathematical aspects, such as sphere packing, space filling, crystal lattices, sums of consecutive integers, and a relationship between tetrahedra and octahedra.
Contributed by: Sándor Kabai (November 2015)
Open content licensed under CC BY-NC-SA
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"Tetrahedron Built from Rhombic Dodecahedra or Spheres"
http://demonstrations.wolfram.com/TetrahedronBuiltFromRhombicDodecahedraOrSpheres/
Wolfram Demonstrations Project
Published: November 23 2015