Acronym risquah Name hyperbolic rectified square-tiling honeycomb ` ©` Circumradius sqrt(-3/2) = 1.224745 i Vertex figure ` ©` Confer more general: o4x4oPo Externallinks

This non-compact hyperbolic tesselation uses the squat in the sense of an infinite horohedron for some of its cells.

Incidence matrix according to Dynkin symbol

```o3o4x4o   (N,M → ∞)

. . . . | 4NM ♦    6 |   6   3 |  2  3
--------+-----+------+---------+------
. . x . |   2 | 12NM |   2   1 |  1  2
--------+-----+------+---------+------
. o4x . |   4 |    4 | 6NM   * |  1  1
. . x4o |   4 |    4 |   * 3NM |  0  2
--------+-----+------+---------+------
o3o4x . ♦   8 |   12 |   6   0 | NM  *
. o4x4o ♦  2M |   4M |   M   M |  * 6N

snubbed forms: o3o4s4o
```

```x4o4x4o   (N,M,K → ∞)

. . . . | 4NMK ♦    2    4 |   1    4    2    2 |   2   2   1
--------+------+-----------+--------------------+------------
x . . . |    2 | 4NMK    * |   1    2    0    0 |   2   1   0
. . x . |    2 |    * 8NMK |   0    1    1    1 |   1   1   1
--------+------+-----------+--------------------+------------
x4o . . |    4 |    4    0 | NMK    *    *    * |   2   0   0
x . x . |    4 |    2    2 |   * 4NMK    *    * |   1   1   0
. o4x . |    4 |    0    4 |   *    * 2NMK    * |   1   0   1
. . x4o |    4 |    0    4 |   *    *    * 2NMK |   0   1   1
--------+------+-----------+--------------------+------------
x4o4x . ♦   4M |   4M   4M |   M   2M    M    0 | 2NK   *   *
x . x4o ♦    8 |    4    8 |   0    4    0    2 |   * NMK   *
. o4x4o ♦   2K |    0   4K |   0    0    K    K |   *   * 2NM

snubbed forms: s4o4s4o
```

```x4o4x *b3o   (N,M → ∞)

. . .    . | 8NM ♦    3    3 |   3   3   3 |  3  1  1
-----------+-----+-----------+-------------+---------
x . .    . |   2 | 12NM    * |   2   1   0 |  2  1  0
. . x    . |   2 |    * 12NM |   0   1   2 |  2  0  1
-----------+-----+-----------+-------------+---------
x4o .    . |   4 |    4    0 | 6NM   *   * |  1  1  0
x . x    . |   4 |    2    2 |   * 6NM   * |  2  0  0
. o4x    . |   4 |    0    4 |   *   * 6NM |  1  0  1
-----------+-----+-----------+-------------+---------
x4o4x    . ♦  4M |   4M   4M |   M  2M   M | 6N  *  *
x4o . *b3o ♦   8 |   12    0 |   6   0   0 |  * NM  *
. o4x *b3o ♦   8 |    0   12 |   0   0   6 |  *  * NM

snubbed forms: s4o4s *b3o
```

```x4o4x *b4x   (N,M,K,L → ∞)

. . .    . | 4NMKL ♦     2     2     2 |    1     2     2    1    1     2 |   1   1    2   1
-----------+-------+-------------------+----------------------------------+-----------------
x . .    . |     2 | 4NMKL     *     * |    1     1     1    0    0     0 |   1   1    1   0
. . x    . |     2 |     * 4NMKL     * |    0     1     0    1    0     1 |   1   0    1   1
. . .    x |     2 |     *     * 4NMKL |    0     0     1    0    1     1 |   0   1    1   1
-----------+-------+-------------------+----------------------------------+-----------------
x4o .    . |     4 |     4     0     0 | NMKL     *     *    *    *     * |   1   1    0   0
x . x    . |     4 |     2     2     0 |    * 2NMKL     *    *    *     * |   1   0    1   0
x . .    x |     4 |     2     0     2 |    *     * 2NMKL    *    *     * |   0   1    1   0
. o4x    x |     4 |     0     4     0 |    *     *     * NMKL    *     * |   1   0    0   1
. o . *b4x |     4 |     0     0     4 |    *     *     *    * NMKL     * |   0   1    0   1
. . x    x |     4 |     0     2     2 |    *     *     *    *    * 2NMKL |   0   0    1   1
-----------+-------+-------------------+----------------------------------+-----------------
x4o4x    . ♦    4M |    4M    4M     0 |    M    2M     0    M    0     0 | NKL   *    *   *
x4o . *b4x ♦    4K |    4K     0    4K |    K     0    2K    0    K     0 |   * NML    *   *
x . x    x ♦     8 |     4     4     4 |    0     2     2    0    0     2 |   *   * NMKL   *
. o4x *b4x ♦    4L |     0    4L    4L |    0     0     0    L    L    2L |   *   *    * NMK
```