Uniform Colorings
There are 3 distinct uniform colorings of a hexagonal tiling, all generated from reflective symmetry of Wythoff constructions. The (h,k) represent the periodic repeat of one colored tile, counting hexagonal distances as h first, and k second.
| k-uniform | 1-uniform | 2-uniform | 3-uniform | ||||
|---|---|---|---|---|---|---|---|
| Picture | |||||||
| Colors | 1 | 2 | 3 | 2 | 4 | 2 | 7 |
| (h,k) | (1,0) | (1,1) | (2,0) | (2,1) | |||
| Schläfli symbol | {6,3} | t{3,6} | t{3} | ||||
| Wythoff symbol | 3 | 6 2 | 2 6 | 3 | 3 3 3 | | ||||
| Symmetry | *632 (p6m) |
*333 (p3) ] |
*632 (p6m) |
632 (p6) + |
|||
| Coxeter-Dynkin diagram | |||||||
| Conway polyhedron notation | H | tH | teH | t6daH | t6dateH | ||
The 3-color tiling is a tessellation generated by the order-3 permutohedrons.
Read more about this topic: Hexagonal Tiling
Famous quotes containing the word uniform:
“Iconic clothing has been secularized.... A guardsman in a dress uniform is ostensibly an icon of aggression; his coat is red as the blood he hopes to shed. Seen on a coat-hanger, with no man inside it, the uniform loses all its blustering significance and, to the innocent eye seduced by decorative colour and tactile braid, it is as abstract in symbolic information as a parasol to an Eskimo. It becomes simply magnificent.”
—Angela Carter (1940–1992)