Template:A8 honeycombs
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This honeycomb is one of 45 unique uniform honeycombs[1] constructed by the [math]\displaystyle{ {\tilde{A}}_8 }[/math] Coxeter group. The symmetry can be multiplied by the ring symmetry of the Coxeter diagrams:
| A8 honeycombs | ||||
|---|---|---|---|---|
| Enneagon symmetry |
Symmetry | Extended diagram |
Extended group |
Honeycombs |
| a1 | [3[9]] |     
|
[math]\displaystyle{ {\tilde{A}}_8 }[/math] |
|
| i2 | [[3[9]]] |     
|
[math]\displaystyle{ {\tilde{A}}_8 }[/math]×2 |
|
| i6 | [3[3[9]]] |   
|
[math]\displaystyle{ {\tilde{A}}_8 }[/math]×6 |   
|
| r18 | [9[3[9]]] |
|
[math]\displaystyle{ {\tilde{A}}_8 }[/math]×18 | 3
|
References
- ↑ * Weisstein, Eric W.. "Necklace". http://mathworld.wolfram.com/Necklace.html., OEIS sequence A000029 46-1 cases, skipping one with zero marks
