Acronym | octh |
Name | hyperbolic order 4 octahedral honeycomb |
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Circumradius | 0 i |
Dual | o3o4o4x |
Confer |
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This non-compact hyperbolic tesselation uses the squat in the sense of an infinite horohedron for its vertex figure.
Incidence matrix according to Dynkin symbol
x3o4o4o (N,M → ∞) . . . . | 6N ♦ M | 2M | M --------+----+-----+-----+--- x . . . | 2 | 3NM | 4 | 4 --------+----+-----+-----+--- x3o . . | 3 | 3 | 4NM | 2 --------+----+-----+-----+--- x3o4o . ♦ 6 | 12 | 8 | NM
x3oØo3*a3oØo3*a (N,M → ∞) . . . . . | 6N ♦ 4M | 2M 2M 2M 2M | M M M M ----------------+----+------+-----------------+------------ x . . . . | 2 | 12NM | 1 1 1 1 | 1 1 1 1 ----------------+----+------+-----------------+------------ x3o . . . | 3 | 3 | 4NM * * * | 1 1 0 0 x . o3*a . . | 3 | 3 | * 4NM * * | 0 0 1 1 x . . *a3o . | 3 | 3 | * * 4NM * | 1 0 1 0 x . . . o3*a | 3 | 3 | * * * 4NM | 0 1 0 1 ----------------+----+------+-----------------+------------ x3o . *a3o . ♦ 6 | 12 | 4 0 4 0 | NM * * * x3o . . o4*a ♦ 6 | 12 | 4 0 0 4 | * NM * * x . o3*a3o . ♦ 6 | 12 | 0 4 4 0 | * * NM * x . o3*a . o4*a ♦ 6 | 12 | 0 4 0 4 | * * * NM
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