Template:A7 honeycombs: Difference between revisions
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{{CDD|branch|3ab|nodes_11|3ab|nodes_11|3ab|branch}} |
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![4[3<sup>[8]</sup>]] |
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|{{CDD|node_c1|split1|nodeab_c2|3ab|nodeab_c1|3ab|nodeab_c2|split2|node_c1}} |
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Revision as of 02:40, 7 December 2013
This honeycomb is one of 29 unique uniform honeycombs[1] constructed by the Coxeter group, grouped by their extended symmetry of rings within the regular octagon diagram:
Octagon symmetry |
Extended symmetry |
Extended diagram |
Extended order |
Honeycombs |
---|---|---|---|---|
a1 | [3[8]] | ×1 |
| |
d2 | <[3[8]]> | ×2 |
| |
d4 | <2[3[8]]> | ×4 |
| |
p2 | [[3[8]]] | ×2 | ||
p4 | [2[3[8]]] | ×4 |
| |
d8 | [4[3[8]]] | ×8 | ||
r16 | [8[3[8]]] | ×16 | 3 |
References
- ^ Weisstein, Eric W. "Necklace". MathWorld., A000029 30-1 cases, skipping one with zero marks