Steriruncicantic tesseractic honeycomb
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In four-dimensional Euclidean geometry, the steriruncicantic tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
Steriruncicantic tesseractic honeycomb | |
---|---|
(No image) | |
Type | Uniform honeycomb |
Schläfli symbol | h2,3,4{4,3,3,4} |
Coxeter-Dynkin diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4-face type | t0123{4,3,3} ![]() tr{4,3,3} ![]() 2t{4,3,3} ![]() t{3,3}×{} ![]() |
Cell type | tr{4,3} ![]() t{3,4} ![]() t{3,3} ![]() t{4}×{} ![]() t{3}×{} ![]() {3}×{} ![]() |
Face type | {8} {6} {4} |
Vertex figure | |
Coxeter group | = [4,3,31,1] |
Dual | ? |
Properties | vertex-transitive |
Alternate names
- great prismated demitesseractic tetracomb (giphatit)
- great diprismatodemitesseractic 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 |
See also
Regular and uniform honeycombs in 4-space:
Notes
References
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