Acronym | risquah |
Name | hyperbolic rectified square-tiling honeycomb |
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Circumradius | sqrt(-3/2) = 1.224745 i |
Vertex figure |
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Confer |
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External links |
This non-compact hyperbolic tesselation uses the squat in the sense of an infinite horohedron for some of its cells.
Incidence matrix according to Dynkin symbol
o3o4x4o (N,M → ∞) . . . . | 4NM ♦ 6 | 6 3 | 2 3 --------+-----+------+---------+------ . . x . | 2 | 12NM | 2 1 | 1 2 --------+-----+------+---------+------ . o4x . | 4 | 4 | 6NM * | 1 1 . . x4o | 4 | 4 | * 3NM | 0 2 --------+-----+------+---------+------ o3o4x . ♦ 8 | 12 | 6 0 | NM * . o4x4o ♦ 2M | 4M | M M | * 6N snubbed forms: o3o4s4o
x4o4x4o (N,M,K → ∞) . . . . | 4NMK ♦ 2 4 | 1 4 2 2 | 2 2 1 --------+------+-----------+--------------------+------------ x . . . | 2 | 4NMK * | 1 2 0 0 | 2 1 0 . . x . | 2 | * 8NMK | 0 1 1 1 | 1 1 1 --------+------+-----------+--------------------+------------ x4o . . | 4 | 4 0 | NMK * * * | 2 0 0 x . x . | 4 | 2 2 | * 4NMK * * | 1 1 0 . o4x . | 4 | 0 4 | * * 2NMK * | 1 0 1 . . x4o | 4 | 0 4 | * * * 2NMK | 0 1 1 --------+------+-----------+--------------------+------------ x4o4x . ♦ 4M | 4M 4M | M 2M M 0 | 2NK * * x . x4o ♦ 8 | 4 8 | 0 4 0 2 | * NMK * . o4x4o ♦ 2K | 0 4K | 0 0 K K | * * 2NM snubbed forms: s4o4s4o
x4o4x *b3o (N,M → ∞) . . . . | 8NM ♦ 3 3 | 3 3 3 | 3 1 1 -----------+-----+-----------+-------------+--------- x . . . | 2 | 12NM * | 2 1 0 | 2 1 0 . . x . | 2 | * 12NM | 0 1 2 | 2 0 1 -----------+-----+-----------+-------------+--------- x4o . . | 4 | 4 0 | 6NM * * | 1 1 0 x . x . | 4 | 2 2 | * 6NM * | 2 0 0 . o4x . | 4 | 0 4 | * * 6NM | 1 0 1 -----------+-----+-----------+-------------+--------- x4o4x . ♦ 4M | 4M 4M | M 2M M | 6N * * x4o . *b3o ♦ 8 | 12 0 | 6 0 0 | * NM * . o4x *b3o ♦ 8 | 0 12 | 0 0 6 | * * NM snubbed forms: s4o4s *b3o
x4o4x *b4x (N,M,K,L → ∞) . . . . | 4NMKL ♦ 2 2 2 | 1 2 2 1 1 2 | 1 1 2 1 -----------+-------+-------------------+----------------------------------+----------------- x . . . | 2 | 4NMKL * * | 1 1 1 0 0 0 | 1 1 1 0 . . x . | 2 | * 4NMKL * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * 4NMKL | 0 0 1 0 1 1 | 0 1 1 1 -----------+-------+-------------------+----------------------------------+----------------- x4o . . | 4 | 4 0 0 | NMKL * * * * * | 1 1 0 0 x . x . | 4 | 2 2 0 | * 2NMKL * * * * | 1 0 1 0 x . . x | 4 | 2 0 2 | * * 2NMKL * * * | 0 1 1 0 . o4x x | 4 | 0 4 0 | * * * NMKL * * | 1 0 0 1 . o . *b4x | 4 | 0 0 4 | * * * * NMKL * | 0 1 0 1 . . x x | 4 | 0 2 2 | * * * * * 2NMKL | 0 0 1 1 -----------+-------+-------------------+----------------------------------+----------------- x4o4x . ♦ 4M | 4M 4M 0 | M 2M 0 M 0 0 | NKL * * * x4o . *b4x ♦ 4K | 4K 0 4K | K 0 2K 0 K 0 | * NML * * x . x x ♦ 8 | 4 4 4 | 0 2 2 0 0 2 | * * NMKL * . o4x *b4x ♦ 4L | 0 4L 4L | 0 0 0 L L 2L | * * * NMK
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