Acronym ...
Name hyperbolic o4x4o3*a4x4o3*a tetracomb
Circumradius 1/sqrt(-8) = 0.353553 i
Vertex figure tuta

This hypercompact hyperbolic tetracomb uses hisquat in the sense of an infinite bollohedron and squat in the sense of an infinite horohedron as cell. Further o3o3o4x4*b and x4o3o4x4*b get being used as infinite bollochora.


Incidence matrix according to Dynkin symbol

o4x4o3*a4x4o3*a   (N,M,K,L,P,Q,R,S → ∞)

. . .    . .    | 8NMKLPQRS          12         12 |         12         12          6         24          6 |        4        12         4         4        4         12         12 |      4       1      4       1         6
----------------+-----------+-----------------------+--------------------------------------------------------+-----------------------------------------------------------------------+----------------------------------------
. x .    . .    |         2 | 48NMKLPQRS          * |          2          0          1          2          0 |        2         2         1         0        0          2          1 |      2       1      1       0         1
. . .    x .    |         2 |          * 48NMKLPQRS |          0          2          0          2          1 |        0         2         0         1        2          1          2 |      1       0      2       1         1
----------------+-----------+-----------------------+--------------------------------------------------------+-----------------------------------------------------------------------+----------------------------------------
o4x .    . .    |         4 |          4          0 | 24NMKLPQRS          *          *          *          * |        1         1         1         0        0          0          0 |      1       1      1       0         0
o . . *a4x .    |         4 |          0          4 |          * 24NMKLPQRS          *          *          * |        0         1         0         1        1          0          0 |      1       0      1       1         0
. x4o    . .    |         4 |          4          0 |          *          * 12NMKLPQRS          *          * |        2         0         0         0        0          2          0 |      2       1      0       0         1
. x .    x .    |         4 |          2          2 |          *          *          * 48NMKLPQRS          * |        0         1         0         0        0          1          1 |      1       0      1       0         1
. . .    x4o    |         4 |          0          4 |          *          *          *          * 12NMKLPQRS |        0         0         0         0        2          0          2 |      0       0      2       1         1
----------------+-----------+-----------------------+--------------------------------------------------------+-----------------------------------------------------------------------+----------------------------------------
o4x4o3*a . .            4M |        12M          0 |         3M          0         3M          0          0 | 8NKLPQRS         *         *         *        *          *          * |      1       1      0       0         0
o4x . *a4x .            4K |         4K         4K |          K          K          0         2K          0 |        * 24NMLPQRS         *         *        *          *          * |      1       0      1       0         0
o4x .    . o3*a          8 |         12          0 |          6          0          0          0          0 |        *         * 4NMKLPQRS         *        *          *          * |      0       1      1       0         0
o . o3*a4x .             8 |          0         12 |          0          6          0          0          0 |        *         *         * 4NMKLPQRS        *          *          * |      1       0      0       1         0
o . . *a4x4o3*a         4L |          0        12L |          0         3L          0          0         3L |        *         *         *         * 8NMKPQRS          *          * |      0       0      1       1         0
. x4o    x .             8 |          8          4 |          0          0          2          4          0 |        *         *         *         *        * 12NMKLPQRS          * |      1       0      0       0         1
. x .    x4o             8 |          4          8 |          0          0          0          4          2 |        *         *         *         *        *          * 12NMKLPQRS |      0       0      1       0         1
----------------+-----------+-----------------------+--------------------------------------------------------+-----------------------------------------------------------------------+----------------------------------------
o4x4o3*a4x .          8MKP |      24MKP      12MKP |       6MKP       6MKP       6MKP      12MKP          0 |      2KP       6MP         0       MKP        0       3MKP          0 | 4NLQRS       *      *       *         *
o4x4o3*a . o3*a        2MQ |       12MQ          0 |        6MQ          0        3MQ          0          0 |       2Q         0        MQ         0        0          0          0 |      * 4NKLPRS      *       *         *
o4x . *a4x4o3*a       8KLR |      12KLR      24KLR |       6KLR       6KLR          0      12KLR       6KLR |        0       6LR       KLR         0      2KR          0       3KLR |      *       * 4NMPQS       *         *
o . o3*a4x4o3*a        2LS |          0       12LS |          0        6LS          0          0        3LS |        0         0         0        LS       2S          0          0 |      *       *      * 4NMKPQR         *
. x4o    x4o            16 |         16         16 |          0          0          4         16          4 |        0         0         0         0        0          4          4 |      *       *      *       * 3NMKLPQRS

snubbed forms: o4s4o3*a4s4o3*a

or   (N,M,K,L,P → ∞)

. . .    . .      | 8NMKLP       24 |      24      12      24 |      8     12      8      24 |   8    2      6
------------------+--------+---------+-------------------------+------------------------------+----------------
. x .    . .    & |      2 | 96NMKLP |       2       1       2 |      2      2      1       3 |   3    1      1
------------------+--------+---------+-------------------------+------------------------------+----------------
o4x .    . .    & |      4 |       4 | 48NMKLP       *       * |      1      1      1       0 |   2    1      0
. x4o    . .    & |      4 |       4 |       * 24NMKLP       * |      2      0      0       2 |   2    1      1
. x .    x .      |      4 |       4 |       *       * 48NMKLP |      0      1      0       2 |   2    0      1
------------------+--------+---------+-------------------------+------------------------------+----------------
o4x4o3*a . .    &      4M |     12M |      3M      3M       0 | 16NKLP      *      *       * |   1    1      0
o4x . *a4x .           4K |      8K |      2K       0      2K |      * 24NMLP      *       * |   2    0      0
o4x .    . o3*a &       8 |      12 |       6       0       0 |      *      * 8NMKLP       * |   1    1      0
. x4o    x .    &       8 |      12 |       0       2       4 |      *      *      * 24NMKLP |   1    0      1
------------------+--------+---------+-------------------------+------------------------------+----------------
o4x4o3*a4x .    &    8MKL |   36MKL |   12MKL    6MKL   12MKL |    2KL    6ML    MKL    3MKL | 8NP    *      *
o4x4o3*a . o3*a &     2MP |    12MP |     6MP     3MP       0 |     2P      0     MP       0 |   * 8NKL      *
. x4o    x4o           16 |      32 |       0       8      16 |      0      0      0       8 |   *    * 3NMKLP

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