Acronym gadencorn
Name great dispinocellirhombated penteract
Field of sections
 ©
Circumradius sqrt[17-8 sqrt(2)]/2 = 1.192297
Vertex figure
 ©
Coordinates (2 sqrt(2)-1, sqrt(2)-1, sqrt(2)-1, 1, 1)/2   & all permutations, all changes of sign
Colonel of regiment wacbinant
Face vector 960, 3840, 4480, 1600, 132

As abstract polytope gadencorn is isomorphic to sadencorn, thereby replacing octagrams by octagons, resp. stop by op, groh by sroh, and quitco by girco, resp. gaqript by garpit, quitcope by gircope, grohp by srohp, and girpith by sirpith.


Incidence matrix

960     4   2   2 |   2   4   4   4   4   4 |   4   4  2   2   4   4  4 |  1  1  4  2  2
----+--------------+-------------------------+---------------------------+---------------
  2 | 1920   *   * |   1   1   1   1   1   0 |   2   2  1   1   1   1  1 |  1  1  2  1  1
  2 |    * 960   * |   0   2   2   0   0   2 |   2   0  2   0   2   2  2 |  1  1  2  2  1
  2 |    *   * 960 |   0   0   0   2   2   2 |   0   2  0   2   2   2  2 |  0  0  2  1  2
----+--------------+-------------------------+---------------------------+---------------
  4 |    4   0   0 | 480   *   *   *   *   * |   2   2  0   0   0   0  0 |  1  1  2  0  0
  4 |    2   2   0 |   * 960   *   *   *   * |   1   0  1   0   1   0  0 |  1  0  1  1  0
  8 |    4   4   0 |   *   * 480   *   *   * |   1   0  1   0   0   1  1 |  1  0  1  1  1  {8/3}
  4 |    2   0   2 |   *   *   * 960   *   * |   0   1  0   1   1   1  0 |  0  1  1  1  1
  6 |    3   0   3 |   *   *   *   * 640   * |   0   1  0   1   0   0  1 |  0  1  1  0  1
  4 |    0   2   2 |   *   *   *   *   * 960 |   0   0  0   0   1   1  1 |  0  0  1  1  1
----+--------------+-------------------------+---------------------------+---------------
 16 |   16   8   0 |   4   4   2   0   0   0 | 240   *  *   *   *   *  * |  1  0  1  0  0  (stop)
 12 |   12   0   6 |   3   0   0   3   2   0 |   * 320  *   *   *   *  * |  0  1  1  0  0  (hip)
 24 |   24  24   0 |   0  12   6   0   0   0 |   *   * 80   *   *   *  * |  1  0  0  1  0  (groh)
 12 |   12   0  12 |   0   0   0   6   4   0 |   *   *  * 160   *   *  * |  0  1  0  0  1  (cho)
  8 |    4   4   4 |   0   2   0   2   0   2 |   *   *  *   * 480   *  * |  0  0  1  1  0  (cube)
 16 |    8   8   8 |   0   0   2   4   0   4 |   *   *  *   *   * 240  * |  0  0  0  1  1  (stop)
 48 |   24  24  24 |   0   0   6   0   8  12 |   *   *  *   *   *   * 80 |  0  0  1  0  1  (quitco)
----+--------------+-------------------------+---------------------------+---------------
 96 |  192  96   0 |  48  96  48   0   0   0 |  24   0  8   0   0   0  0 | 10  *  *  *  *  (gaqript)
 30 |   60  30   0 |  15   0   0  30  20   0 |   0  10  0   5   0   0  0 |  * 32  *  *  *  (garpop)
 96 |   96  48  48 |  24  24  12  24  16  24 |   6   8  0   0  12   0  2 |  *  * 40  *  *  (quitcope)
 48 |   48  48  24 |   0  24  12  24   0  24 |   0   0  2   0  12   6  0 |  *  *  * 40  *  (grohp)
192 |  192  96 192 |   0   0  48  96  64  96 |   0   0  0  16   0  24  8 |  *  *  *  * 10  (girpith)

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