Acronym ...
Name hyperbolic x4x3x8o tesselation
Circumradius sqrt[-(4+7 sqrt(2))]/2 = 1.864101 i

This hypercompact hyperbolic tesselation uses the truncated order 8 triangle tiling in the sense of an infinite bollohedron as one of its cell types.


Incidence matrix according to Dynkin symbol

x4x3x8o   (N,M → ∞)

. . . . | 48NM |    1    1    2 |   1    2    2   1 |   2   1  1
--------+------+----------------+-------------------+-----------
x . . . |    2 | 24NM    *    * |   1    2    0   0 |   2   1  0
. x . . |    2 |    * 24NM    * |   1    0    2   0 |   2   0  1
. . x . |    2 |    *    * 48NM |   0    1    1   1 |   1   1  1
--------+------+----------------+-------------------+-----------
x4x . . |    8 |    4    4    0 | 6NM    *    *   * |   2   0  0
x . x . |    4 |    2    0    2 |   * 24NM    *   * |   1   1  0
. x3x . |    6 |    0    3    3 |   *    * 16NM   * |   1   0  1
. . x8o |    8 |    0    0    8 |   *    *    * 6NM |   0   1  1
--------+------+----------------+-------------------+-----------
x4x3x .    48 |   24   24   24 |   6   12    8   0 | 2NM   *  *
x . x8o    16 |    8    0   16 |   0    8    0   2 |   * 3NM  *
. x3x8o   24M |    0  12M  24M |   0    0   8M  3M |   *   * 2N

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