Acronym | ... |
Name |
hyperbolic x3x5x3x5*a tesselation, hyperbolic omnitruncated dodecahedral-icosahedral honeycomb |
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Circumradius | sqrt[-1-sqrt(5)] = 1.798907 i |
Vertex figure |
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Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3x5x3x5*a (N → ∞) . . . . | 120N | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 -----------+------+-----------------+-------------------------+-------- x . . . | 2 | 60N * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 60N * * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 60N * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * * 60N | 0 0 1 0 1 1 | 0 1 1 1 -----------+------+-----------------+-------------------------+-------- x3x . . | 6 | 3 3 0 0 | 20N * * * * * | 1 1 0 0 x . x . | 4 | 2 0 2 0 | * 30N * * * * | 1 0 1 0 x . . x5*a | 10 | 5 0 0 5 | * * 12N * * * | 0 1 1 0 . x5x . | 10 | 0 5 5 0 | * * * 12N * * | 1 0 0 1 . x . x | 4 | 0 2 0 2 | * * * * 30N * | 0 1 0 1 . . x3x | 6 | 0 0 3 3 | * * * * * 20N | 0 0 1 1 -----------+------+-----------------+-------------------------+-------- x3x5x . ♦ 120 | 60 60 60 0 | 20 30 0 12 0 0 | N * * * x3x . x5*a ♦ 120 | 60 60 0 60 | 20 0 12 0 30 0 | * N * * x . x3x5*a ♦ 120 | 60 0 60 60 | 0 30 12 0 0 20 | * * N * . x5x3x ♦ 120 | 0 60 60 60 | 0 0 0 12 30 20 | * * * N
or . . . . | 30N | 4 | 2 2 2 | 4 -------------+-----+-----+------------+-- x . . . & | 2 | 60N | 1 1 1 | 3 -------------+-----+-----+------------+-- x3x . . & | 6 | 6 | 10N * * | 2 x . x . & | 4 | 4 | * 15N * | 2 . x5x . & | 10 | 10 | * * 6N | 2 -------------+-----+-----+------------+-- x3x5x . & ♦ 120 | 180 | 20 30 12 | N
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