Symmetry Constructions
There are three different symmetry constructions of this tessellation. Each symmetry can be represented by different arrangements of colored 16-cell facets.
Name | Coxeter group | Schläfli symbol | Coxeter-Dynkin diagram | Vertex figure Symmetry |
Facets/verf |
---|---|---|---|---|---|
16-cell honeycomb | = | {3,3,4,3} | , order 1152 |
24: 16-cell | |
4-demicube honeycomb | = | {31,1,3,4} = h{4,3,3,4} |
= | , order 384 |
16+8: 16-cell |
= | {31,1,1,1} = h{4,3,31,1} |
= = | , order 192 |
8+8+8: 16-cell |
Read more about this topic: 16-cell 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 (17881824)