Acronym | otitch |
Name |
hyperbolic x3x3x3x4*a tesselation, omnitruncated tetrahedral-cubic honeycomb |
Circumradius | sqrt[-3-4 sqrt(2)] = 2.942253 i |
Vertex figure |
© |
External links |
Incidence matrix according to Dynkin symbol
x3x3x3x4*a (N → ∞) . . . . | 48N | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 -----------+-----+-----------------+---------------------+---------- x . . . | 2 | 24N * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 24N * * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 24N * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * * 24N | 0 0 1 0 1 1 | 0 1 1 1 -----------+-----+-----------------+---------------------+---------- x3x . . | 6 | 3 3 0 0 | 8N * * * * * | 1 1 0 0 x . x . | 4 | 2 0 2 0 | * 12N * * * * | 1 0 1 0 x . . x4*a | 8 | 4 0 0 4 | * * 6N * * * | 0 1 1 0 . x3x . | 6 | 0 3 3 0 | * * * 8N * * | 1 0 0 1 . x . x | 4 | 0 2 0 2 | * * * * 12N * | 0 1 0 1 . . x3x | 6 | 0 0 3 3 | * * * * * 8N | 0 0 1 1 -----------+-----+-----------------+---------------------+---------- x3x3x . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 | 2N * * * x3x . x4*a ♦ 48 | 24 24 0 24 | 8 0 6 0 12 0 | * N * * x . x3x4*a ♦ 48 | 24 0 24 24 | 0 12 6 0 0 8 | * * N * . x3x3x ♦ 24 | 0 12 12 12 | 0 0 0 4 6 4 | * * * 2N
or . . . . | 24N | 2 2 | 2 2 1 1 | 2 2 --------------+-----+---------+--------------+----- x . . . & | 2 | 24N * | 1 1 1 0 | 1 2 . x . . & | 2 | * 24N | 1 1 0 1 | 2 1 --------------+-----+---------+--------------+----- x3x . . & | 6 | 3 3 | 8N * * * | 1 1 x . x . & | 4 | 2 2 | * 12N * * | 1 1 x . . x4*a | 8 | 8 0 | * * 3N * | 0 2 . x3x . | 6 | 0 6 | * * * 4N | 2 0 --------------+-----+---------+--------------+----- x3x3x . & ♦ 24 | 12 24 | 4 6 0 4 | 2N * x3x . x4*a & ♦ 48 | 48 24 | 8 12 6 0 | * N
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