Acronym gancpan
Name great spinocelliprismated penteract
Field of sections
 ©
Circumradius sqrt[15-6 sqrt(2)]/2 = 1.276197
Vertex figure
 ©
Coordinates ((2 sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment getitdin

Incidence matrix

640 |   3   3   1 |   3   3   6   3   3 |   1  3   3   3  3   6 |  1  1  3  3
----+-------------+---------------------+-----------------------+------------
  2 | 960   *   * |   2   1   2   1   0 |   1  2   2   2  1   2 |  1  1  2  2
  2 |   * 960   * |   0   1   2   0   1 |   0  2   1   0  1   2 |  1  0  2  1
  2 |   *   * 320 |   0   0   0   3   3 |   0  0   0   3  3   6 |  0  1  3  3
----+-------------+---------------------+-----------------------+------------
  3 |   3   0   0 | 640   *   *   *   * |   1  0   1   1  0   0 |  1  1  0  1
  8 |   4   4   0 |   * 240   *   *   * |   0  2   0   0  1   0 |  1  0  2  0  {8/3}
  4 |   2   2   0 |   *   * 960   *   * |   0  1   1   0  0   1 |  1  0  1  1
  6 |   3   0   3 |   *   *   * 320   * |   0  0   0   2  1   2 |  0  1  2  2
  4 |   0   2   2 |   *   *   *   * 480 |   0  0   0   0  1   2 |  0  0  2  1
----+-------------+---------------------+-----------------------+------------
  4 |   6   0   0 |   4   0   0   0   0 | 160  *   *   *  *   * |  1  1  0  0  (tet)
 24 |  24  24   0 |   0   6  12   0   0 |   * 80   *   *  *   * |  1  0  1  0  (groh)
  6 |   6   3   0 |   2   0   3   0   0 |   *  * 320   *  *   * |  1  0  0  1  (trip)
 12 |  12   0   6 |   4   0   0   4   0 |   *  *   * 160  *   * |  0  1  0  1  (tut)
 48 |  24  24  24 |   0   6   0   8  12 |   *  *   *   * 40   * |  0  0  2  0  (quitco)
 12 |   6   6   6 |   0   0   3   2   3 |   *  *   *   *  * 320 |  0  0  1  1  (hip)
----+-------------+---------------------+-----------------------+------------
 64 |  96  96   0 |  64  24  96   0   0 |  16  8  32   0  0   0 | 10  *  *  *  (gnappoth)
 20 |  30   0  10 |  20   0   0  10   0 |   5  0   0   5  0   0 |  * 32  *  *  (tip)
192 | 192 192  96 |   0  48  96  64  96 |   0  8   0   0  8  32 |  *  * 10  *  (girpdo)
 24 |  24  12  12 |   8   0  12   8   6 |   0  0   4   2  0   4 |  *  *  * 80  (tuttip)

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