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
Famous quotes containing the word related:
“Becoming responsible adults is no longer a matter of whether children hang up their pajamas or put dirty towels in the hamper, but whether they care about themselves and others—and whether they see everyday chores as related to how we treat this planet.”
—Eda Le Shan (20th century)