Acronym ...
Name β3β4o3β (?)
Circumradius ...

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

β3β4o3β

both( . . . .    ) | 576 |   2   1   2    4   2 |   2   1   3    6   3   4 |  1   2  1  1   5
-------------------+-----+----------------------+--------------------------+-----------------
both( s . . s2*a ) |   2 | 576   *   *    *   * |   0   0   0    2   2   0 |  0   1  1  0   2
both( . s4o .    ) |   2 |   * 288   *    *   * |   0   0   2    0   0   2 |  1   0  0  1   2
both( . s . s2*a ) |   2 |   *   * 576    *   * |   0   0   0    2   0   2 |  0   1  0  1   2
sefa( s3s . .    ) |   2 |   *   *   * 1152   * |   1   0   1    1   0   0 |  1   1  0  0   1
sefa( . . o3β    ) |   2 |   *   *   *    * 576 |   0   1   0    0   1   1 |  0   0  1  1   1
-------------------+-----+----------------------+--------------------------+-----------------
both( s3s . .    )    3 |   0   0   0    3   0 | 384   *   *    *   *   * |  1   1  0  0   0
      . . o3β    )    3 |   0   0   0    0   3 |   * 192   *    *   *   * |  0   0  1  1   0
sefa( s3s4o .    ) |   3 |   0   1   0    2   0 |   *   * 576    *   *   * |  1   0  0  0   1
sefa( s3s . s2*a ) |   3 |   1   0   1    1   0 |   *   *   * 1152   *   * |  0   1  0  0   1
sefa( β . o3β2*a ) |   3 |   2   0   0    0   1 |   *   *   *    * 576   * |  0   0  1  0   1
sefa( . β4o3β    ) |   4 |   0   1   2    0   1 |   *   *   *    *   * 576 |  0   0  0  1   1
-------------------+-----+----------------------+--------------------------+-----------------
both( s3s4o .    )   12 |   0   6   0   24   0 |   8   0  12    0   0   0 | 48   *  *  *   *
both( s3s . s2*a )    6 |   3   0   3    6   0 |   2   0   0    6   0   0 |  * 192  *  *   *
      β . o3β2*a      6 |   6   0   0    0   6 |   0   2   0    0   6   0 |  *   * 96  *   *
      . β4o3β        24 |   0  12  24    0  24 |   0   8   0    0   0  24 |  *   *  * 24   *
sefa( β3β4o3β    )    5 |   2   1   2    2   1 |   0   0   1    2   1   1 |  *   *  *  * 576

starting figure: x3x4o3x

© 2004-2019
top of page