Acronym gafwan
Name great facetosphenary penteract
Field of sections
 ©
Circumradius sqrt[11-6 sqrt(2)]/2 = 0.792893
Vertex figure
 ©
Coordinates ((sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment wavinant

Incidence matrix

320    6   2 |   6   6   6   6 |   2   6  6   6  12 |  2  2  6  6
----+---------+-----------------+--------------------+------------
  2 | 960   * |   2   2   1   1 |   1   3  2   2   4 |  1  1  3  3
  2 |   * 320 |   0   0   3   3 |   0   0  3   3   6 |  1  1  3  3
----+---------+-----------------+--------------------+------------
  3 |   3   0 | 640   *   *   * |   1   1  1   1   0 |  1  1  1  1
  4 |   4   0 |   * 480   *   * |   0   2  0   0   2 |  0  0  2  2
  8 |   4   4 |   *   * 240   * |   0   0  2   0   2 |  1  0  2  1  {8/3}
  4 |   2   2 |   *   *   * 480 |   0   0  0   2   2 |  0  1  1  2
----+---------+-----------------+--------------------+------------
  4 |   6   0 |   4   0   0   0 | 160   *  *   *   * |  1  1  0  0  tet
  6 |   9   0 |   2   3   0   0 |   * 320  *   *   * |  0  0  1  1  trip
 24 |  24  12 |   8   0   6   0 |   *   * 80   *   * |  1  0  1  0  quith
  6 |   6   3 |   2   0   0   3 |   *   *  * 320   * |  0  1  0  1  trip
 16 |  16   8 |   0   4   2   4 |   *   *  *   * 240 |  0  0  1  1  stop
----+---------+-----------------+--------------------+------------
 64 |  96  32 |  64   0  24   0 |  16   0  8   0   0 | 10  *  *  *  quitit
  8 |  12   4 |   8   0   0   6 |   2   0  0   4   0 |  * 80  *  *  tepe
 48 |  72  24 |  16  24  12  12 |   0   8  2   0   6 |  *  * 40  *  quithip
 24 |  36  12 |   8  12   3  12 |   0   4  0   4   3 |  *  *  * 80  tistodip

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