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| Acronym | grath |
| Name | hyperbolic great rhombatedorder 6 tetrahedral honeycomb |
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| Circumradius | sqrt(-11) = 3.316625i |
| Vertex figure |
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This paracompact hyperbolic honeycomb uses the euclidean tilinghexat in the sense of an infinite horohedron as one of its cell types.
Incidence matrix according toDynkin symbol
x3x3x6o (N,M → ∞). . . . | 12NM | 1 1 2 | 1 2 2 1 | 2 1 1--------+------+--------------+-----------------+---------x . . . | 2 | 6NM * * | 1 2 0 0 | 2 1 0. x . . | 2 | * 6NM * | 1 0 2 0 | 2 0 1. . x . | 2 | * * 12NM | 0 1 1 1 | 1 1 1--------+------+--------------+-----------------+---------x3x . . | 6 | 3 3 0 | 2NM * * * | 2 0 0x . x . | 4 | 2 0 2 | * 6NM * * | 1 1 0. x3x . | 6 | 0 3 3 | * * 4NM * | 1 0 1. . x6o | 6 | 0 0 6 | * * * 2NM | 0 1 1--------+------+--------------+-----------------+---------x3x3x .♦ 24 | 12 12 12 | 4 6 4 0 | NM * *x . x6o♦ 12 | 6 0 12 | 0 6 0 2 | * NM *. x3x6o♦ 6M | 0 3M 6M | 0 0 2M M | * * 2N
x3x3x3x3*b (N,M → ∞). . . . | 24NM | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1-----------+------+---------------------+-------------------------+-------------x . . . | 2 | 12NM * * * | 1 1 1 0 0 0 | 1 1 1 0. x . . | 2 | * 12NM * * | 1 0 0 1 1 0 | 1 1 0 1. . x . | 2 | * * 12NM * | 0 1 0 1 0 1 | 1 0 1 1. . . x | 2 | * * * 12NM | 0 0 1 0 1 1 | 0 1 1 1-----------+------+---------------------+-------------------------+-------------x3x . . | 6 | 3 3 0 0 | 4NM * * * * * | 1 1 0 0x . x . | 4 | 2 0 2 0 | * 6NM * * * * | 1 0 1 0x . . x | 4 | 2 0 0 2 | * * 6NM * * * | 0 1 1 0. x3x . | 6 | 0 3 3 0 | * * * 4NM * * | 1 0 0 1. x . x3*b | 6 | 0 3 0 3 | * * * * 4NM * | 0 1 0 1. . x3x | 6 | 0 0 3 3 | * * * * * 4NM | 0 0 1 1-----------+------+---------------------+-------------------------+-------------x3x3x .♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 | NM * * *x3x . x3*b♦ 24 | 12 12 0 12 | 4 0 6 0 4 0 | * NM * *x . x3x♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 | * * 2NM *. x3x3x3*b♦ 6M | 0 3M 3M 3M | 0 0 0 M M M | * * * 4N
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