Acronym rihihexah Name hyperbolic rectified order 6 hexagonal-tiling honeycomb ` ©` Circumradius 1/sqrt(-3) = 0.577350 i Confer related hyperbolic polytopes: x3o6o3o   o3x6o3o   o3o3o6x   general polytopal classes: partial Stott expansions Externallinks

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
```