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Template:A7 honeycombs

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This honeycomb is one of 29 unique uniform honycombs[1] constructed by the Coxeter group, grouped by their higher symmetry of rings within the regular octagon diagram:

Extended
symmetry
Extended
diagram
Extended
order
Honeycombs
[3[8]] ×1

<[3[8]]> ×2

<2[3[8]]> ×4

[[3[8]]] ×2

[2[3[8]]] ×4

[4[3[8]]] ×8
[8[3[8]]] ×16

References

  1. ^ Weisstein, Eric W. "Necklace". MathWorld., A000029 30-1 cases, skipping one with zero marks