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:
“The custard is setting; meanwhile
I not only have my own history to worry about
But am forced to fret over insufficient details related to large
Unfinished concepts that can never bring themselves to the point
Of being, with or without my help, if any were forthcoming.”
—John Ashbery (b. 1927)