Acronym sadencorn (old: dancrin)
Name small dispinocellirhombated penteract
Circumradius sqrt[17+8 sqrt(2)]/2 = 2.660531
Coordinates (1+2 sqrt(2), 1+sqrt(2), 1+sqrt(2), 1, 1)/2   & all permutations, all changes of sign
Colonel of regiment carnit
Face vector 960, 3840, 4480, 1600, 132

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


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}
  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  (op)
 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  (sroh)
 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  (op)
 48 |   24  24  24 |   0   0   6   0   8  12 |   *   *  *   *   *   * 80 |  0  0  1  0  1  (girco)
----+--------------+-------------------------+---------------------------+---------------
 96 |  192  96   0 |  48  96  48   0   0   0 |  24   0  8   0   0   0  0 | 10  *  *  *  *  (garpit)
 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  *  *  (gircope)
 48 |   48  48  24 |   0  24  12  24   0  24 |   0   0  2   0  12   6  0 |  *  *  * 40  *  (srohp)
192 |  192  96 192 |   0   0  48  96  64  96 |   0   0  0  16   0  24  8 |  *  *  *  * 10  (sirpith)

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