Symmetry
This honeycomb has three uniform constructions, with the truncated octahedral cells having different Coxeter groups and Wythoff constructions. These uniform symmetries can be represented by coloring differently the cells in each construction.
| Coxeter group | ] =>] =]>>] |
, =<> =<<]>> |
, =<]> |
, ] |
|---|---|---|---|---|
| Space group | Im3m | Pm3m | Fm3m | ? |
| Coxeter-Dynkin diagrams | ||||
| truncated octahedra | 1 | 1:1 | 2:1:1 | 1:1:1:1 |
| Vertex figure | ||||
| Vertex figure symmetry |
(order 8) |
(order 4) |
(order 2) |
+ (order 1) |
| Image |
Read more about this topic: Bitruncated Cubic Honeycomb
Famous quotes containing the word symmetry:
“What makes a regiment of soldiers a more noble object of view than the same mass of mob? Their arms, their dresses, their banners, and the art and artificial symmetry of their position and movements.”
—George Gordon Noel Byron (1788–1824)