WOLFRAM|DEMONSTRATIONS PROJECT

Cluster of 45 Polyhedra around a Rhombic Hexacontahedron

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move the 12 rhombic triacontahedra
move the 20 rhombic triacontahedra
move the 12 rhombic hexacontahedra
Rhombic triacontahedra (RT) and rhombic hexecontahedra (RH) are layered to form a structure similar to one sometimes found in quasicrystals. The total number of polyhedra can be enumerated as follows: 1 RH + 12 RT + 20 RT + 12 RH = 45.