Acronym | spidded |
Name |
hyperbolic small prismated disdodecahedral honeycomb, hyperbolic prismated order 5 dodecahedral honeycomb, hyperbolic runcinated order 5 dodecahedral honeycomb |
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Circumradius | sqrt[-(1+sqrt(5))/2] = 1.272020 i |
Vertex figure |
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Confer |
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External links |
This hyperbolic honeycomb implements in a ridge faceting subspace the hyperbolic tiling tepet. And it occurs in turn as a ridge faceting subspace in the hyperbolic tetracomb x5o3o3o5x.
Incidence matrix according to Dynkin symbol
x5o3o5x (N → ∞) . . . . | 20N | 3 3 | 3 6 3 | 1 3 3 1 --------+-----+---------+-------------+---------- x . . . | 2 | 30N * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 30N | 0 2 2 | 0 1 2 1 --------+-----+---------+-------------+---------- x5o . . | 5 | 5 0 | 12N * * | 1 1 0 0 x . . x | 4 | 2 2 | * 30N * | 0 1 1 0 . . o5x | 5 | 0 5 | * * 12N | 0 0 1 1 --------+-----+---------+-------------+---------- x5o3o . ♦ 20 | 30 0 | 12 0 0 | N * * * x5o . x ♦ 10 | 10 5 | 2 5 0 | * 6N * * x . o5x ♦ 10 | 5 10 | 0 5 2 | * * 6N * . o3o5x ♦ 20 | 0 30 | 0 0 12 | * * * N
or . . . . | 10N | 6 | 6 6 | 2 6 -----------+-----+-----+---------+----- x . . . & | 2 | 30N | 2 2 | 1 3 -----------+-----+-----+---------+----- x5o . . & | 5 | 5 | 12N * | 1 1 x . . x | 4 | 4 | * 15N | 0 2 -----------+-----+-----+---------+----- x5o3o . & ♦ 20 | 30 | 12 0 | N * x5o . x & ♦ 10 | 15 | 2 5 | * 6N
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