Stack-sortable permutation

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This honeycomb is one of 29 unique uniform honeycombs[1] constructed by the A~7 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]] Template:CDD ×1

Template:CDD Template:CDD Template:CDD Template:CDD Template:CDD

d2 <[3[8]]> Template:CDD ×2

Template:CDD Template:CDD Template:CDD Template:CDD1 Template:CDD Template:CDD Template:CDD

Template:CDD Template:CDD Template:CDD Template:CDD Template:CDD Template:CDD

p2 [[3[8]]] Template:CDD ×2

Template:CDD 2 Template:CDD Template:CDD Template:CDD Template:CDD

d4 <2[3[8]]> Template:CDD ×4

Template:CDD Template:CDD

p4 [2[3[8]]] Template:CDD ×4

Template:CDD Template:CDD

d8 [4[3[8]]] Template:CDD ×8 Template:CDD
r16 [8[3[8]]] Template:CDD ×16 Template:CDD3

References

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