Template:A7 honeycombs
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This honeycomb is one of 29 unique uniform honeycombs[1] constructed by the <math>{\tilde{A}}_7</math> Coxeter group, grouped by their extended symmetry of rings within the regular octagon diagram:
| A7 honeycombs | ||||
|---|---|---|---|---|
| Octagon symmetry |
Extended symmetry |
Extended diagram |
Extended group |
Honeycombs |
| a1 |
[3[8]] | <math>{\tilde{A}}_7</math> |
| |
| d2 |
<[3[8]]> | <math>{\tilde{A}}_7</math>×21 |
| |
| p2 |
[[3[8]]] | <math>{\tilde{A}}_7</math>×22 | ||
| d4 |
<2[3[8]]> | <math>{\tilde{A}}_7</math>×41 |
| |
| p4 |
[2[3[8]]] | <math>{\tilde{A}}_7</math>×42 |
| |
| d8 |
[4[3[8]]] | <math>{\tilde{A}}_7</math>×8 | ||
| r16 |
[8[3[8]]] | <math>{\tilde{A}}_7</math>×16 | ||
References
- ↑ Weisstein, Eric W. "Necklace". MathWorld., Template:OEIS el 30-1 cases, skipping one with zero marks