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Template:A7 honeycombs

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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

1

p2 [[3[8]]] ×2

2

d4 <2[3[8]]> ×4

p4 [2[3[8]]] ×4

d8 [4[3[8]]] ×8
r16 [8[3[8]]] ×16 3

References

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