Template:B4 honeycombs
From HandWiki
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 | ||
