Template:A6 honeycombs
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This honeycomb is one of 17 unique uniform honeycombs[1] constructed by the [math]\displaystyle{ {\tilde{A}}_6 }[/math] Coxeter group, grouped by their extended symmetry of the Coxeter–Dynkin diagrams:
| A6 honeycombs | ||||
|---|---|---|---|---|
| Heptagon symmetry |
Extended symmetry |
Extended diagram |
Extended group |
Honeycombs |
| a1 | [3[7]] |     
|
[math]\displaystyle{ {\tilde{A}}_6 }[/math] |
|
| i2 | [[3[7]]] |    
|
[math]\displaystyle{ {\tilde{A}}_6 }[/math]×2 | |
| r14 | [7[3[7]]] |  
|
[math]\displaystyle{ {\tilde{A}}_6 }[/math]×14 | |
References
- ↑ * Weisstein, Eric W.. "Necklace". http://mathworld.wolfram.com/Necklace.html., OEIS sequence A000029 18-1 cases, skipping one with zero marks
