Template:A8 honeycombs
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This honeycomb is one of 45 unique uniform honeycombs[1] constructed by the <math>{\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>{\tilde{A}}_8</math> |
| |
i2 | [[3[9]]] | <math>{\tilde{A}}_8</math>×2 |
| |
i6 | [3[3[9]]] | <math>{\tilde{A}}_8</math>×6 | ||
r18 | [9[3[9]]] | <math>{\tilde{A}}_8</math>×18 | 3 |
References
- ↑ * Weisstein, Eric W. "Necklace". MathWorld., Template:OEIS el 46-1 cases, skipping one with zero marks