Acronym gatopin
Name great pteroprismated penteract
Field of sections
 ©
Circumradius sqrt(2)-1/2 = 0.914214
Vertex figure
 ©
Coordinates ((sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
Colonel of regiment fawdint

Incidence matrix

320    6   3 |   6   6  12 |  12   6  6 |  3  6
----+---------+-------------+------------+------
  2 | 960   * |   2   1   2 |   4   2  2 |  2  3
  2 |   * 480 |   0   2   4 |   4   2  4 |  2  4
----+---------+-------------+------------+------
  4 |   4   0 | 480   *   * |   2   1  0 |  1  2
  8 |   4   4 |   * 240   * |   2   0  2 |  2  2  {8/3}
  4 |   2   2 |   *   * 960 |   1   1  1 |  1  2
----+---------+-------------+------------+------
 16 |  16   8 |   4   2   4 | 240   *  * |  1  1  stop
  8 |   8   4 |   2   0   4 |   * 240  * |  0  2  cube
 24 |  24  24 |   0   6  12 |   *   * 80 |  1  1  groh
----+---------+-------------+------------+------
 96 | 192  96 |  48  48  96 |  24   0  8 | 10  *  gaqript
 48 |  72  48 |  24  12  48 |   6  12  2 |  * 40  grohp

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