Acronym | ocat |
Name | hyperbolic order 3 octagonal tiling |
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Circumradius | sqrt[-3-3 sqrt(2)]/2 = 1.345608 i |
Vertex figure | [83] |
Dual | x3o8o |
Confer |
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External links |
The right picture shows a regular modwrap of this tiling, corresponding to N=2 in the below matrix. It can be considered to be a tiling of the 2 hole torus.
Incidence matrix according to Dynkin symbol
o3o8x (N → ∞) . . . | 8N | 3 | 3 ------+----+-----+--- . . x | 2 | 12N | 2 ------+----+-----+--- . o8x | 8 | 8 | 3N snubbed forms: o3o8s
x4x8o (N → ∞) . . . | 8N | 1 2 | 2 1 ------+----+-------+----- x . . | 2 | 4N * | 2 0 . x . | 2 | * 8N | 1 1 ------+----+-------+----- x4x . | 8 | 4 4 | 2N * . x8o | 8 | 0 8 | * N snubbed forms: s4s8o
x4x4x4*a (N → ∞) . . . | 8N | 1 1 1 | 1 1 1 ---------+----+----------+------ x . . | 2 | 4N * * | 1 1 0 . x . | 2 | * 4N * | 1 0 1 . . x | 2 | * * 4N | 0 1 1 ---------+----+----------+------ x4x . | 8 | 4 4 0 | N * * x . x4*a | 8 | 4 0 4 | * N * . x4x | 8 | 0 4 4 | * * N snubbed forms: s4s4s4*a
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