Acronym ...
Name β3β3x4β (?)
Circumradius ...
Face vector 384, 1344, 1248, 328

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

β3β3x4β

both( . . . .    ) | 384 |   1   1   1   2   1   1 |   1  1  1   2   3   2   2 |  1  1  1 1   3
-------------------+-----+-------------------------+---------------------------+---------------
both( . . x .    ) |   2 | 192   *   *   *   *   * |   0  1  1   1   0   1   0 |  1  0  1 1   1
both( s . . s2*a ) |   2 |   * 192   *   *   *   * |   0  0  0   0   2   2   0 |  0  1  1 0   2
both( . s . s2*a ) |   2 |   *   * 192   *   *   * |   0  0  0   0   2   0   2 |  0  1  0 1   2
sefa( s3s . .    ) |   2 |   *   *   * 384   *   * |   1  0  0   1   1   0   0 |  1  1  0 0   1
sefa( . β3x .    ) |   2 |   *   *   *   * 192   * |   0  1  0   1   0   0   1 |  1  0  0 1   1
sefa( . . x4s    ) |   2 |   *   *   *   *   * 192 |   0  0  1   0   0   1   1 |  0  0  1 1   1
-------------------+-----+-------------------------+---------------------------+---------------
both( s3s . .    )    3 |   0   0   0   3   0   0 | 128  *  *   *   *   *   * |  1  1  0 0   0
      . β3x .         6 |   3   0   0   0   3   0 |   * 64  *   *   *   *   * |  1  0  0 1   0
both( . . x4s    )    4 |   2   0   0   0   0   2 |   *  * 96   *   *   *   * |  0  0  1 1   0
sefa( β3β3x .    ) |   4 |   1   0   0   2   1   0 |   *  *  * 192   *   *   * |  1  0  0 0   1
sefa( s3s . s2*a ) |   3 |   0   1   1   1   0   0 |   *  *  *   * 384   *   * |  0  1  0 0   1
sefa( s . x4s2*a ) |   4 |   1   2   0   0   0   1 |   *  *  *   *   * 192   * |  0  0  1 0   1
sefa( . β3x4β    ) |   4 |   0   0   2   0   1   1 |   *  *  *   *   *   * 192 |  0  0  0 1   1
-------------------+-----+-------------------------+---------------------------+---------------
      β3β3x .        24 |  12   0   0  24  12   0 |   8  4  0  12   0   0   0 | 16  *  * *   *
both( s3s . s2*a )    6 |   0   3   3   6   0   0 |   2  0  0   0   6   0   0 |  * 64  * *   *
both( s . x4s2*a )    8 |   4   4   0   0   0   4 |   0  0  2   0   0   4   0 |  *  * 48 *   *
      . β3x4β        48 |  24   0  24   0  24  24 |   0  8 12   0   0   0  24 |  *  *  * 8   *
sefa( β3β3x4β    )    6 |   1   2   2   2   1   1 |   0  0  0   1   2   1   1 |  *  *  * * 192

starting figure: x3x3x4x

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