This para-compact hyperbolic tesselation uses sadit and hext in the sense of infinite horotera as some of its facet types.

Incidence matrix according to Dynkin symbol

s3s4o3o3o4o

demi( . . . . . . ) | 3NMK ♦    24    16 |    8    72    96 |   24    32   128    64 |  32   16    80    8 |  16   1    9
--------------------+------+-------------+------------------+------------------------+---------------------+-------------
      . s4o . . .   |    2 | 36NMK     * |    0     2     8 |    1     4     8     8 |   4    4     8    2 |   4   1    2
sefa( s3s . . . . ) |    2 |     * 24NMK |    1     6     0 |    6     0    12     0 |  12    0     8    0 |   8   0    1
--------------------+------+-------------+------------------+------------------------+---------------------+-------------
      s3s . . . .   |    3 |     0     3 | 8NMK     *     * |    6     0     0     0 |  12    0     0    0 |   8   0    0
sefa( s3s4o . . . ) |    3 |     1     2 |    * 72NMK     * |    1     0     4     0 |   4    0     4    0 |   4   0    1
sefa( . s4o3o . . ) |    3 |     3     0 |    *     * 96NMK |    0     1     1     2 |   1    2     2    1 |   2   1    1
--------------------+------+-------------+------------------+------------------------+---------------------+-------------
      s3s4o . . .   ♦   12 |     6    24 |    8    12     0 | 6NMK     *     *     * |   4    0     0    0 |   4   0    0
      . s4o3o . .   ♦    4 |     6     0 |    0     0     4 |    * 24NMK     *     * |   1    2     0    0 |   2   1    0
sefa( s3s4o3o . . ) ♦    4 |     3     3 |    0     3     1 |    *     * 96NMK     * |   1    0     2    0 |   2   0    1
sefa( . s4o3o3o . ) ♦    4 |     6     0 |    0     0     4 |    *     *     * 48NMK |   0    1     1    1 |   1   1    1
--------------------+------+-------------+------------------+------------------------+---------------------+-------------
      s3s4o3o . .   ♦   96 |   144   288 |   96   288    96 |   24    24    96     0 | NMK    *     *    * |   2   0    0
      . s4o3o3o .   ♦    8 |    24     0 |    0     0    32 |    0     8     0     8 |   * 6NMK     *    * |   1   1    0
sefa( s3s4o3o3o . ) ♦    5 |     6     4 |    0     6     4 |    0     0     4     1 |   *    * 48NMK    * |   1   0    1
sefa( . s4o3o3o4o ) ♦    8 |    24     0 |    0     0    32 |    0     0     0    16 |   *    *     * 3NMK |   0   1    1
--------------------+------+-------------+------------------+------------------------+---------------------+-------------
      s3s4o3o3o .   ♦  24M |   72M   96M |  32M  144M   96M |  12M   24M   96M   24M |   M   3M   24M    0 | 2NK   *    *
      . s4o3o3o4o   ♦    K |   12K     0 |    0     0   32K |    0    8K     0   16K |   0   2K     0    K |   * 3NM    *
sefa( s3s4o3o3o4o ) ♦    9 |    24     8 |    0    24    32 |    0     0    32    16 |   0    0    16    1 |   *   * 3NMK

starting figure: x3x4o3o3o4o