Acronym | rihihexah |
Name | hyperbolic rectified order 6 hexagonal-tiling honeycomb |
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Circumradius | 1/sqrt(-3) = 0.577350 i |
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This non-compact hyperbolic tesselation uses trat and that in the sense of an infinite horohedron as its cell types.
Incidence matrix according to Dynkin symbol
o6x3o6o (N,M,K → ∞) . . . . | NMK | 12 | 6 12 | 6 2 --------+-----+------+----------+-------- . x . . | 2 | 6NMK | 1 2 | 2 1 --------+-----+------+----------+-------- o6x . . | 6 | 6 | NMK * | 2 0 . x3o . | 3 | 3 | * 4NMK | 1 1 --------+-----+------+----------+-------- o6x3o . ♦ 3M | 6M | M 2M | 2NK * . x3o6o ♦ K | 3K | 0 2K | * 2NM
o6x3o3o3*b (N,M,K,L → ∞) . . . . | NMKL | 12 | 6 6 6 | 3 3 2 -----------+------+-------+------------------+------------- . x . . | 2 | 6NMKL | 1 1 1 | 1 1 1 -----------+------+-------+------------------+------------- o6x . . | 6 | 6 | NMKL * * | 1 1 0 . x3o . | 3 | 3 | * 2NMKL * | 1 0 1 . x . o3*b | 3 | 3 | * * 2NMKL | 0 1 1 -----------+------+-------+------------------+------------- o6x3o . ♦ 3M | 6M | M 2M 0 | NKL * * o6x . o3*b ♦ 3K | 6K | K 0 2K | * NML * . x3o3o3*b ♦ L | 3L | 0 L L | * * 2NML
x3x3o3o3*a3*c *b3*d (N,M,K,L,P → ∞) . . . . | NMKLP | 6 6 | 6 3 3 3 3 | 3 3 1 1 --------------------+-------+---------------+-------------------------------+-------------------- x . . . | 2 | 3NMKLP * | 1 1 1 0 0 | 1 1 1 0 . x . . | 2 | * 3NMKLP | 1 0 0 1 1 | 1 1 0 1 --------------------+-------+---------------+-------------------------------+-------------------- x3x . . | 6 | 3 3 | NMKLP * * * * | 1 1 0 0 x . o . *a3*c | 3 | 3 0 | * NMKLP * * * | 1 0 1 0 x . . o3*a | 3 | 3 0 | * * NMKLP * * | 0 1 1 0 . x3o | 3 | 0 3 | * * * NMKLP * | 1 0 0 1 . x . o *b3*d | 3 | 0 3 | * * * * NMKLP | 0 1 0 1 --------------------+-------+---------------+-------------------------------+-------------------- x3x3o . *a3*c ♦ 3M | 3M 3M | M M 0 M 0 | NKLP * * * x3x . o3*a *b3*d ♦ 3K | 3K 3K | K 0 K 0 K | * NMLP * * x . o3o3*a3*c ♦ L | 3L 0 | 0 L L 0 0 | * * NMKP * . x3o3o *b3*d ♦ P | 0 3P | 0 0 0 P P | * * * NMKL
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