Acronym gloptin
Name great lapidoprismatotruncated penteract
Field of sections
 ©
Circumradius sqrt[25-12 sqrt(2)]/2 = 1.416813
Vertex figure
 ©
Coordinates ((2 sqrt(2)-1)/2, (2 sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment quiptin

Incidence matrix

960 |    4   2   1 |   2   4   4   4   2 |   2   2   2   2   4  4 |  1  2  2  2
----+--------------+---------------------+------------------------+------------
  2 | 1920   *   * |   1   1   1   1   0 |   1   1   1   1   1  1 |  1  1  1  1
  2 |    * 960   * |   0   2   0   2   1 |   1   0   1   2   2  2 |  1  1  1  2
  2 |    *   * 480 |   0   0   4   0   2 |   0   2   0   0   4  4 |  0  2  2  2
----+--------------+---------------------+------------------------+------------
  3 |    3   0   0 | 640   *   *   *   * |   1   1   1   0   0  0 |  1  1  1  0
  4 |    2   2   0 |   * 960   *   *   * |   1   0   0   1   1  0 |  1  0  1  1
  4 |    2   0   2 |   *   * 960   *   * |   0   1   0   0   1  1 |  0  1  1  1
  6 |    3   3   0 |   *   *   * 640   * |   0   0   1   1   0  1 |  1  1  0  1
  8 |    0   4   4 |   *   *   *   * 240 |   0   0   0   0   2  2 |  0  1  1  2
----+--------------+---------------------+------------------------+------------
  6 |    6   3   0 |   2   3   0   0   0 | 320   *   *   *   *  * |  1  0  1  0  (trip)
  6 |    6   0   3 |   2   0   3   0   0 |   * 320   *   *   *  * |  0  1  1  0  (trip)
 12 |   12   6   0 |   4   0   0   4   0 |   *   * 160   *   *  * |  1  1  0  0  (tut)
 12 |   12  12   0 |   0   6   0   4   0 |   *   *   * 160   *  * |  1  0  0  1  (cho)
 16 |    8   8   8 |   0   4   4   0   2 |   *   *   *   * 240  * |  0  0  1  1  (stop)
 48 |   24  24  24 |   0   0  12   8   6 |   *   *   *   *   * 80 |  0  1  0  1  (quitco)
----+--------------+---------------------+------------------------+------------
 30 |   60  30   0 |  20  30   0  20   0 |  10   0   5   5   0  0 | 32  *  *  *  (sirdop)
192 |  192  96  96 |  64   0  96  64  24 |   0  32  16   0   0  8 |  * 10  *  *  (gaqrit)
 24 |   24  12  12 |   8  12  12   0   3 |   4   4   0   0   3  0 |  *  * 80  *  (tistodip)
192 |  192 192  96 |   0  96  96  64  48 |   0   0   0  16  24  8 |  *  *  * 10  (girpith)

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