Acronym ahach Name hyperbolic alternated order 6 cubical honeycomb,hyperbolic snub order 6 cubical honeycomb Circumradius 0 i

This regular, non-compact hyperbolic tesselation uses the euclidean tiling that in the sense of an infinite horohedron as vertex figure and likewise trat as one of its cells.

Incidence matrix according to Dynkin symbol

```x3o3o *b6o   (N,M,K → ∞)

. . .    . | 2NK ♦   3M |   6M |  2M   M
-----------+-----+------+------+--------
x . .    . |   2 | 3NMK |    4 |   2   2
-----------+-----+------+------+--------
x3o .    . |   3 |    3 | 4NMK |   1   1
-----------+-----+------+------+--------
x3o3o    . ♦   4 |    6 |    4 | NMK   *
x3o . *b6o ♦   K |   3K |   2K |   * 2NM
```

```o3x3o3o3*a3*c   (N,M,K → ∞)

. . . .       | 4NK ♦   3M |   3M   3M |   M   M   M
--------------+-----+------+-----------+------------
. x . .       |   2 | 6NMK |    2    2 |   2   1   1
--------------+-----+------+-----------+------------
o3x . .       |   3 |    3 | 4NMK    * |   1   1   0
. x3o .       |   3 |    3 |    * 4NMK |   1   0   1
--------------+-----+------+-----------+------------
o3x3o . *a3*c ♦   K |   3K |    K    K | 4NM   *   *
o3x . o3*a    ♦   4 |    6 |    4    0 |   * NMK   *
. x3o3o       ♦   4 |    6 |    0    4 |   *   * NMK
```

```s4o3o6o   (N,M,K → ∞)

hemi( . . . . ) | 2NK ♦   3M |   6M |  2M   M
----------------+-----+------+------+--------
s4o . .   |   2 | 3NMK |    4 |   2   2
----------------+-----+------+------+--------
sefa( s4o3o . ) |   3 |    3 | 4NMK |   1   1
----------------+-----+------+------+--------
s4o3o .   ♦   4 |    6 |    4 | NMK   *
sefa( s4o3o6o ) ♦   K |   3K |   2K |   * 2NM

starting figure: x4o3o6o
```

```s4o3o3o3*b   (N,M,K → ∞)

hemi( . . . .    ) | 4NK ♦   3M |   3M   3M |   M   M   M
-------------------+-----+------+-----------+------------
s4o . .      |   2 | 6NMK |    2    2 |   1   1   2
-------------------+-----+------+-----------+------------
sefa( s4o3o .    ) |   3 |    3 | 4NMK    * |   1   0   1
sefa( s4o . o3*b ) |   3 |    3 |    * 4NMK |   0   1   1
-------------------+-----+------+-----------+------------
s4o3o .      ♦   4 |    6 |    4    0 | NMK   *   *
s4o . o3*b   ♦   4 |    6 |    0    4 |   * NMK   *
sefa( s4o3o3o3*b ) ♦   K |   3K |    K    K |   *   * 4NM

starting figure: x4o3o3o3b
```