Acronym ...
Name hyperbolic x4o4o4x tesselation
Circumradius 1/sqrt[-sqrt(2)] = 0.840896 i
Confer
more general:
x4oPo4x  

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

x4o4o4x   (N,M,K → ∞)

. . . . | 2NMK     4    4 |    4    8    4 |   1   4   4   1
--------+------+-----------+----------------+----------------
x . . . |    2 | 4NMK    * |    2    2    0 |   1   2   1   0
. . . x |    2 |    * 4NMK |    0    2    2 |   0   1   2   1
--------+------+-----------+----------------+----------------
x4o . . |    4 |    4    0 | 2NMK    *    * |   1   1   0   0
x . . x |    4 |    2    2 |    * 4NMK    * |   0   1   1   0
. . o4x |    4 |    0    4 |    *    * 2NMK |   0   0   1   1
--------+------+-----------+----------------+----------------
x4o4o .     M |   2M    0 |    M    0    0 | 2NK   *   *   *
x4o . x     8 |    8    4 |    2    4    0 |   * NMK   *   *
x . o4x     8 |    4    8 |    0    4    2 |   *   * NMK   *
. o4o4x     K |    0   2K |    0    0    K |   *   *   * 2NM
or
. . . .    | NM    8 |   8   8 |  2  8
-----------+----+-----+---------+------
x . . .  & |  2 | 4NM |   2   2 |  1  3
-----------+----+-----+---------+------
x4o . .  & |  4 |   4 | 2NM   * |  1  1
x . . x    |  4 |   4 |   * 2NM |  0  2
-----------+----+-----+---------+------
x4o4o .  &   M |  2M |   M   0 | 2N  *
x4o . x  &   8 |  12 |   2   4 |  * NM

snubbed forms: s4o4o4s

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