Acronym ...
Name x3x4β3o (?)
Circumradius ...
Face vector 576, 1728, 1344, 264

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

x3x4β3o

both( . . . . ) | 576 |   1   1   2   2 |  1   2   1   2   2   2 |  2  1  1  2
----------------+-----+-----------------+------------------------+------------
both( x . . . ) |   2 | 288   *   *   * |  1   0   0   2   2   0 |  2  1  0  2
both( . x . . ) |   2 |   * 288   *   * |  1   2   0   0   0   0 |  2  0  1  0
sefa( . x4s . ) |   2 |   *   * 576   * |  0   1   0   1   0   1 |  1  0  1  1
sefa( . . β3o ) |   2 |   *   *   * 576 |  0   0   1   0   1   1 |  0  1  1  1
----------------+-----+-----------------+------------------------+------------
both( x3x . . ) |   6 |   3   3   0   0 | 96   *   *   *   *   * |  2  0  0  0
both( . x4s . )    4 |   0   2   2   0 |  * 288   *   *   *   * |  1  0  1  0
      . . β3o      3 |   0   0   0   3 |  *   * 192   *   *   * |  0  1  1  0
sefa( x3x4s . ) |   6 |   3   0   3   0 |  *   *   * 192   *   * |  1  0  0  1
sefa( x . β3o ) |   4 |   2   0   0   2 |  *   *   *   * 288   * |  0  1  0  1
sefa( . x4β3o ) |   4 |   0   0   2   2 |  *   *   *   *   * 288 |  0  0  1  1
----------------+-----+-----------------+------------------------+------------
both( x3x4s . )   24 |  12  12  12   0 |  4   6   0   4   0   0 | 48  *  *  *
      x . β3o      6 |   3   0   0   6 |  0   0   2   0   3   0 |  * 96  *  *
      . x4β3o     24 |   0  12  24  24 |  0  12   8   0   0  12 |  *  * 24  *
sefa( x3x4β3o )   12 |   6   0   6   6 |  0   0   0   2   3   3 |  *  *  * 96

starting figure: x3x4x3o

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