Acronym ...
Name hyperbolic x4x4x4o tesselation
Circumradius sqrt[-(4+3 sqrt(2))/2] = 2.030104 i

This non-compact hyperbolic tesselation uses tosquats in the sense of an infinite horohedron is its cells.


Incidence matrix according to Dynkin symbol

x4x4x4o   (N,M,K → ∞)

. . . . | 8NMK |    1    1    2 |   1    2    2    1 |   2   1   1
--------+------+----------------+--------------------+------------
x . . . |    2 | 4NMK    *    * |   1    2    0    0 |   2   1   0
. x . . |    2 |    * 4NMK    * |   1    0    2    0 |   2   0   1
. . x . |    2 |    *    * 8NMK |   0    1    1    1 |   1   1   1
--------+------+----------------+--------------------+------------
x4x . . |    8 |    4    4    0 | NMK    *    *    * |   2   0   0
x . x . |    4 |    2    0    2 |   * 4NMK    *    * |   1   1   0
. x4x . |    8 |    0    4    4 |   *    * 2NMK    * |   1   0   1
. . x4o |    4 |    0    0    4 |   *    *    * 2NMK |   0   1   1
--------+------+----------------+--------------------+------------
x4x4x .    8M |   4M   4M   4M |   M   2M    M    0 | 2NK   *   *
x . x4o     8 |    4    0    8 |   0    4    0    2 |   * NMK   *
. x4x4o    4K |    0   2K   4K |   0    0    K    K |   *   * 2NM

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