Acronym	grath
Name	hyperbolic great rhombated order 6 tetrahedral honeycomb
	©
Circumradius	sqrt(-11) = 3.316625 i
Vertex figure	©
External links

This paracompact hyperbolic honeycomb uses the euclidean tiling hexat in the sense of an infinite horohedron as one of its cell types.

Incidence matrix according to Dynkin 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  0
x . 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  0
x . x .    |    4 |    2    0    2    0 |   * 6NM   *   *   *   * |  1  0   1  0
x . . 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