Acronym | ... |
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hyperbolic x3o4o3x5*a tesselation, cyclotruncated dodecahedral-octahedral honeycomb |
Vertex figure |
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Incidence matrix according to Dynkin symbol
x3o4o3x5*a (N → ∞) . . . . | 30N | 4 4 | 4 8 4 | 1 4 4 1 -----------+-----+---------+-------------+------------ x . . . | 2 | 60N * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 60N | 0 2 2 | 0 1 2 1 -----------+-----+---------+-------------+------------ x3o . . | 3 | 3 0 | 40N * * | 1 1 0 0 x . . x5*a | 10 | 5 5 | * 24N * | 0 1 1 0 . . o3x | 3 | 0 3 | * * 40N | 0 0 1 1 -----------+-----+---------+-------------+------------ x3o4o . ♦ 6 | 12 0 | 8 0 0 | 5N * * * x3o . x5*a ♦ 60 | 60 30 | 20 12 0 | * 2N * * x . o3x5*a ♦ 60 | 30 60 | 0 12 20 | * * 2N * . o4o3x ♦ 6 | 0 12 | 0 0 8 | * * * 5N
or . . . . | 15N | 8 | 8 8 | 2 8 --------------+-----+-----+---------+------ x . . . & | 2 | 60N | 2 2 | 1 3 --------------+-----+-----+---------+------ x3o . . & | 3 | 3 | 40N * | 1 1 x . . x5*a | 10 | 10 | * 12N | 0 2 --------------+-----+-----+---------+------ x3o4o . & ♦ 6 | 12 | 8 0 | 5N * x3o . x5*a & ♦ 60 | 90 | 20 12 | * 2N
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