Symmetry
There are four uniform colorings for the cells of this honeycomb with reflective symmetry, listed by their Coxeter group, and Wythoff construction name, and the Coxeter-Dynkin diagram below.
| Symmetry | , =<<]>> |
, =<]>1 |
, =<]>2 |
], |
|---|---|---|---|---|
| Space group | Pm3m | Fm3m | Fm3m | ? |
| Name | Rectified cubic | Rectified alternate cubic | Cantellated alternate cubic | Birectified quarter cubic |
| Coloring | ||||
| Coxeter diagram |
||||
| Vertex figure | ||||
| Vertex figure symmetry |
order 16 |
order 8 |
order 8 |
order 4 |
Read more about this topic: Rectified 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)