Acronym ...
Name hyperbolic x3x3x3x4*a tesselation
Circumradius sqrt[-3-4 sqrt(2)] = 2.942253 i
Vertex figure
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Incidence matrix according to Dynkin symbol

x3x3x3x4*a   (N → ∞)

. . . .    | 48N |   1   1   1   1 |  1   1  1  1   1  1 |  1 1 1  1
-----------+-----+-----------------+---------------------+----------
x . . .    |   2 | 24N   *   *   * |  1   1  1  0   0  0 |  1 1 1  0
. x . .    |   2 |   * 24N   *   * |  1   0  0  1   1  0 |  1 1 0  1
. . x .    |   2 |   *   * 24N   * |  0   1  0  1   0  1 |  1 0 1  1
. . . x    |   2 |   *   *   * 24N |  0   0  1  0   1  1 |  0 1 1  1
-----------+-----+-----------------+---------------------+----------
x3x . .    |   6 |   3   3   0   0 | 8N   *  *  *   *  * |  1 1 0  0
x . x .    |   4 |   2   0   2   0 |  * 12N  *  *   *  * |  1 0 1  0
x . . x4*a |   8 |   4   0   0   4 |  *   * 6N  *   *  * |  0 1 1  0
. x3x .    |   6 |   0   3   3   0 |  *   *  * 8N   *  * |  1 0 0  1
. x . x    |   4 |   0   2   0   2 |  *   *  *  * 12N  * |  0 1 0  1
. . x3x    |   6 |   0   0   3   3 |  *   *  *  *   * 8N |  0 0 1  1
-----------+-----+-----------------+---------------------+----------
x3x3x .      24 |  12  12  12   0 |  4   6  0  4   0  0 | 2N * *  *
x3x . x4*a   48 |  24  24   0  24 |  8   0  6  0  12  0 |  * N *  *
x . x3x4*a   48 |  24   0  24  24 |  0  12  6  0   0  8 |  * * N  *
. x3x3x      24 |   0  12  12  12 |  0   0  0  4   6  4 |  * * * 2N
or
. . . .       | 24N |   2   2 |  2   2  1  1 |  2 2
--------------+-----+---------+--------------+-----
x . . .     & |   2 | 24N   * |  1   1  1  0 |  1 2
. x . .     & |   2 |   * 24N |  1   1  0  1 |  2 1
--------------+-----+---------+--------------+-----
x3x . .     & |   6 |   3   3 | 8N   *  *  * |  1 1
x . x .     & |   4 |   2   2 |  * 12N  *  * |  1 1
x . . x4*a    |   8 |   8   0 |  *   * 3N  * |  0 2
. x3x .       |   6 |   0   6 |  *   *  * 4N |  2 0
--------------+-----+---------+--------------+-----
x3x3x .     &   24 |  12  24 |  4   6  0  4 | 2N *
x3x . x4*a  &   48 |  48  24 |  8  12  6  0 |  * N

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