Acronym ...
Name x3β3β4β (?)
Circumradius ...
Face vector 384, 1344, 1248, 304

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

x3β3β4β

both( . . . . ) | 384 |   1   1   1   2   2 |  1   1  1   2   2   2   3 |  1  1  1  1   3
----------------+-----+---------------------+---------------------------+----------------
both( x . . . ) |   2 | 192   *   *   *   * |  1   0  0   1   1   2   0 |  1  1  1  0   2
both( . s 2 s ) |   2 |   * 192   *   *   * |  0   0  0   0   2   0   2 |  0  1  0  1   2
sefa( x3β . . ) |   2 |   *   * 192   *   * |  1   0  0   1   1   0   0 |  1  1  0  0   1
sefa( . s3s . ) |   2 |   *   *   * 384   * |  0   1  0   1   0   0   1 |  1  0  0  1   1
sefa( . . s4s ) |   2 |   *   *   *   * 384 |  0   0  1   0   0   1   1 |  0  0  1  1   1
----------------+-----+---------------------+---------------------------+----------------
      x3β . .      6 |   3   0   3   0   0 | 64   *  *   *   *   *   * |  1  1  0  0   0
both( . s3s . )    3 |   0   0   0   3   0 |  * 128  *   *   *   *   * |  1  0  0  1   0
both( . . s4s )    4 |   0   0   0   0   4 |  *   * 96   *   *   *   * |  0  0  1  1   0
sefa( x3β3β . ) |   4 |   1   0   1   2   0 |  *   *  * 192   *   *   * |  1  0  0  0   1
sefa( x3β 2 β ) |   4 |   1   2   1   0   0 |  *   *  *   * 192   *   * |  0  1  0  0   1
sefa( x 2 s4s ) |   4 |   2   0   0   0   2 |  *   *  *   *   * 192   * |  0  0  1  0   1
sefa( . s3s4s ) |   3 |   0   1   0   1   1 |  *   *  *   *   *   * 384 |  0  0  0  1   1
----------------+-----+---------------------+---------------------------+----------------
      x3β3β .     24 |  12   0  12  24   0 |  4   8  0  12   0   0   0 | 16  *  *  *   *
      x3β 2 β     12 |   6   6   6   0   0 |  2   0  0   0   6   0   0 |  * 32  *  *   *
both( x 2 s4s )    8 |   4   0   0   0   8 |  0   0  2   0   0   4   0 |  *  * 48  *   *
both( . s3s4s )   24 |   0  12   0  24  24 |  0   8  6   0   0   0  24 |  *  *  * 16   *
sefa( x3β3β4β )    6 |   2   2   1   2   2 |  0   0  0   1   1   1   2 |  *  *  *  * 192

starting figure: x3x3x4x

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