Acronym ...
Name β3x4β3x (?)
Circumradius ...
Face vector 1152, 3456, 2688, 528

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

β3x4β3x

both( . . . . ) | 1152 |   1   1   1   1   1   1 |   1   1   1   1   2   1   2   1 |  1  1  1  1   2
----------------+------+-------------------------+---------------------------------+----------------
both( . x . . ) |    2 | 576   *   *   *   *   * |   1   1   1   0   0   0   0   0 |  1  1  0  1   0
both( . . . x ) |    2 |   * 576   *   *   *   * |   1   0   0   1   0   1   1   0 |  0  1  1  1   1
both( s 2 s . ) |    2 |   *   * 576   *   *   * |   0   0   0   0   2   0   2   0 |  1  0  1  0   2
sefa( β3x . . ) |    2 |   *   *   * 576   *   * |   0   1   0   0   1   1   0   0 |  1  1  0  0   1
sefa( . x4s . ) |    2 |   *   *   *   * 576   * |   0   0   1   0   1   0   0   1 |  1  0  0  1   1
sefa( . . β3x ) |    2 |   *   *   *   *   * 576 |   0   0   0   1   0   0   1   1 |  0  0  1  1   1
----------------+------+-------------------------+---------------------------------+----------------
both( . x . x ) |    4 |   2   2   0   0   0   0 | 288   *   *   *   *   *   *   * |  0  1  0  1   0
      β3x . .       6 |   3   0   0   3   0   0 |   * 192   *   *   *   *   *   * |  1  1  0  0   0
both( . x4s . )     4 |   2   0   0   0   2   0 |   *   * 288   *   *   *   *   * |  1  0  0  1   0
      . . β3x       6 |   0   3   0   0   0   3 |   *   *   * 192   *   *   *   * |  0  0  1  1   0
sefa( β3x4β . ) |    4 |   0   0   2   1   1   0 |   *   *   *   * 576   *   *   * |  1  0  0  0   1
sefa( β3x 2 x ) |    4 |   0   2   0   2   0   0 |   *   *   *   *   * 288   *   * |  0  1  0  0   1
sefa( β 2 β3x ) |    4 |   0   1   2   0   0   1 |   *   *   *   *   *   * 576   * |  0  0  1  0   1
sefa( . x4β3x ) |    4 |   0   0   0   0   2   2 |   *   *   *   *   *   *   * 288 |  0  0  0  1   1
----------------+------+-------------------------+---------------------------------+----------------
      β3x4β .      48 |  24   0  24  24  24   0 |   0   8  12   0  24   0   0   0 | 24  *  *  *   *
      β3x 2 x      12 |   6   6   0   6   0   0 |   3   2   0   0   0   3   0   0 |  * 96  *  *   *
      β 2 β3x      12 |   0   6   6   0   0   6 |   0   0   0   2   0   0   6   0 |  *  * 96  *   *
      . x4β3x      48 |  24  24   0   0  24  24 |  12   0  12   8   0   0   0  12 |  *  *  * 24   *
sefa( β3x4β3x )     8 |   0   2   4   2   2   2 |   0   0   0   0   2   1   2   1 |  *  *  *  * 288

starting figure: x3x4x3x

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