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- related hyperbolic polytopes:
- o6x3o3o3*b o3x6o3o o3o3o6x x3o6x3o
- general polytopal classes:
- partial Stott expansions regular noble polytopes
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| Acronym | trah |
| Name | hyperbolic order 3 triangle-tiling honeycomb |
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| Circumradius | 0 i |
| Dual | (selfdual) |
| Confer |
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This regular, non-compact hyperbolic tesselation uses the euclidean tiling hexat in the sense of an infinite horohedron as vertex figure. A trat in the sense of an infinite horohedron too is its single cell type.
Incidence matrix according to Dynkin symbol
x3o6o3o (N,M,K → ∞) . . . . | NK ♦ 2M | 3M | M --------+----+-----+-----+--- x . . . | 2 | NMK | 3 | 3 --------+----+-----+-----+--- x3o . . | 3 | 3 | NMK | 2 --------+----+-----+-----+--- x3o6o . ♦ K | 3K | 2K | NM
o6o3x3o3*b (N,M,K,L → ∞) . . . . | NKL ♦ 6M | 6M 3M | M 2M -----------+-----+-------+------------+--------- . . x . | 2 | 3NMKL | 2 1 | 1 2 -----------+-----+-------+------------+--------- . o3x . | 3 | 3 | 2NMKL * | 1 1 . . x3o | 3 | 3 | * NMKL | 0 2 -----------+-----+-------+------------+--------- o6o3x . ♦ K | 3K | 2K 0 | NML * . o3x3o3*b ♦ L | 3L | L L | * 2NMK
x3o3o3o3*a3*c *b3*d (N,M,K,L,P → ∞) . . . . | NKLP ♦ 6M | 3M 3M 3M | M M M --------------------+------+--------+-------------------+--------------- x . . . | 2 | 3NMKLP | 1 1 1 | 1 1 1 --------------------+------+--------+-------------------+--------------- x3o . . | 3 | 3 | NMKLP * * | 1 1 0 x . o . *a3*c | 3 | 3 | * NMKLP * | 1 0 1 x . . o3*a | 3 | 3 | * * NMKLP | 0 1 1 --------------------+------+--------+-------------------+--------------- x3o3o . *a3*c ♦ K | 3K | K K 0 | NMLP * * x3o . o3*a *b3*d ♦ L | 3L | L 0 L | * NMKP * x . o3o3*a3*c ♦ P | 3P | 0 P P | * * NMKL
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