Related Honeycombs
Edge framework of the bitruncated cubic honeycomb seen in perspective |
The regular skew polyhedron {6,4|4} contains the hexagons of this honeycomb. |
This honeycomb can be alternated, creating regular icosahedron from the truncated octahedra with irregular tetrahedral cells created in the gaps. There are three constructions from three related Coxeter-Dynkin diagrams:, and . These have symmetry, and ]+ respectively. The first symmetry can be doubled as ]. This honeycomb is represented in the boron atoms of the α-rhombihedral crystal. The centers of the icosahedra are located at the fcc positions of the lattice.
| Coxeter group | ] | ]+ | ||
|---|---|---|---|---|
| Coxeter-Dynkin diagram | ||||
| Order | double | full | half | quarter |
Read more about this topic: Bitruncated Cubic Honeycomb
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