Acronym | ritrah |
Name | hyperbolic rectified triangular-tiling honeycomb |
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Circumradius | 1 i |
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This non-compact hyperbolic tesselation uses hexat and that in the sense of an infinite horohedron as its cell types.
Incidence matrix according to Dynkin symbol
o3x6o3o (N,M,K → ∞) . . . . | NMK | 6 | 3 6 | 3 2 --------+-----+------+---------+------ . x . . | 2 | 3NMK | 1 2 | 2 1 --------+-----+------+---------+------ o3x . . | 3 | 3 | NMK * | 2 0 . x6o . | 6 | 6 | * NMK | 1 1 --------+-----+------+---------+------ o3x6o . ♦ 3M | 6M | 2M M | NK * . x6o3o ♦ 2K | 3K | 0 K | * NM
o6x3x3o3*b (N,M,K,L → ∞) . . . . | 3NMKL | 4 2 | 2 4 2 1 | 2 1 2 -----------+-------+-------------+-----------------------+------------- . x . . | 2 | 6NMKL * | 1 1 1 0 | 1 1 1 . . x . | 2 | * 3NMKL | 0 2 0 1 | 1 0 2 -----------+-------+-------------+-----------------------+------------- o6x . . | 6 | 6 0 | NMKL * * * | 1 1 0 . x3x . | 6 | 3 3 | * 2NMKL * * | 1 0 1 . x . o3*b | 3 | 3 0 | * * 2NMKL * | 0 1 1 . . x3o | 3 | 0 3 | * * * NMKL | 0 0 2 -----------+-------+-------------+-----------------------+------------- o6x3x . ♦ 6M | 6M 3M | M 2M 0 0 | NKL * * o6x . o3*b ♦ 3K | 6K 0 | K 0 2K 0 | * NML * . x3x3o3*b ♦ 3L | 3L 3L | 0 L L L | * * 2NMK
x3x3x3o3*a3*c *b3*d (N,M,K,L,P → ∞) . . . . | 3NMKLP | 2 2 2 | 2 2 1 2 1 1 | 2 1 1 1 --------------------+--------+----------------------+-------------------------------------+-------------------- x . . . | 2 | 3NMKLP * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 3NMKLP * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 3NMKLP | 0 1 0 1 0 1 | 1 0 1 1 --------------------+--------+----------------------+-------------------------------------+-------------------- x3x . . | 6 | 3 3 0 | NMKLP * * * * * | 1 1 0 0 x . x . *a3*c | 6 | 3 0 3 | * NMKLP * * * * | 1 0 1 0 x . . o3*a | 3 | 3 0 0 | * * NMKLP * * * | 0 1 1 0 . x3x . | 6 | 0 3 3 | * * * NMKLP * * | 1 0 0 1 . x . o *b3*d | 3 | 0 3 0 | * * * * NMKLP * | 0 1 0 1 . . x3o | 3 | 0 0 3 | * * * * * NMKLP | 0 0 1 1 --------------------+--------+----------------------+-------------------------------------+-------------------- x3x3x . *a3*c ♦ 6M | 3M 3M 3M | M M 0 M 0 0 | NKLP * * * x3x . o3*a *b3*d ♦ 3K | 3K 3K 0 | K 0 K 0 K 0 | * NMLP * * x . x3o3*a3*c ♦ 3L | 3L 0 3L | 0 L L 0 0 L | * * NMKP * . x3x3o *b3*d ♦ 3P | 0 3P 3P | 0 0 0 P P P | * * * NMKL
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