Steriruncic tesseractic honeycomb
From Wikipedia, the free encyclopedia
| Steriruncic tesseractic honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform honeycomb |
| Schläfli symbol | h3,4{4,3,3,4} |
| Coxeter-Dynkin diagram | |
| 4-face type | r{4,3,4} t{4,3,4} t0,1,3{4,3,4} {3,3}×{} |
| Cell type | t{4,3} {3,3} r{4,3} {3}×{} t{4}×{} |
| Face type | {8} {4} {3} |
| Vertex figure | |
| Coxeter group | = [4,3,31,1] |
| Dual | ? |
| Properties | vertex-transitive |
In four-dimensional Euclidean geometry, the steriruncic tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
- Prismatorhombated demitesseractic tetracomb (pirhatit)
- Great prismatodemitesseractic tetracomb
Related honeycombs
The [4,3,31,1], ![]()
![]()
![]()
![]()
![]()
![]()
, Coxeter group generates 31 permutations of uniform tessellations, 23 with distinct symmetry and 4 with distinct geometry. There are two alternated forms: the alternations (19) and (24) have the same geometry as the 16-cell honeycomb and snub 24-cell honeycomb respectively.
| B4 honeycombs | ||||
|---|---|---|---|---|
| Extended symmetry |
Extended diagram |
Order | Honeycombs | |
| [4,3,31,1]: | ×1 | |||
| <[4,3,31,1]>: ↔[4,3,3,4] |
↔ |
×2 | ||
| [3[1+,4,3,31,1]] ↔ [3[3,31,1,1]] ↔ [3,3,4,3] |
↔ ↔ |
×3 | ||
| [(3,3)[1+,4,3,31,1]] ↔ [(3,3)[31,1,1,1]] ↔ [3,4,3,3] |
↔ ↔ |
×12 | ||