Acronym irohlohn
Name invertiretrohexadecalepidohemipenteract
Field of sections
 ©
Circumradius sqrt(3/2) = 1.224745
Vertex figure
 ©
Coordinates (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0)   & all permutations, all changes of sign
Colonel of regiment nit
Face vector 80, 480, 1120, 640, 69

Incidence matrix

80   12 |  12   6  12  12  12 |  4  12  12 12  6  6  6 |  2 2  2  6  6
---+-----+---------------------+------------------------+--------------
 2 | 480 |   2   1   2   2   2 |  1   3   3  3  2  2  2 |  1 1  1  3  3
---+-----+---------------------+------------------------+--------------
 3 |   3 | 320   *   *   *   * |  1   1   1  1  1  0  0 |  1 1  1  1  1
 3 |   3 |   * 160   *   *   * |  0   0   0  0  2  2  0 |  0 0  1  0  3
 4 |   4 |   *   * 240   *   * |  0   2   0  0  0  1  0 |  1 0  0  0  2
 4 |   4 |   *   *   * 240   * |  0   0   2  0  0  0  1 |  0 0  1  2  0
 6 |   6 |   *   *   *   * 160 |  0   0   0  2  0  0  1 |  0 1  0  2  0
---+-----+---------------------+------------------------+--------------
 4 |   6 |   4   0   0   0   0 | 80   *   *  *  *  *  * |  1 1  0  0  0  tet
 6 |   9 |   2   0   3   0   0 |  * 160   *  *  *  *  * |  1 0  0  0  1  trip
 6 |   9 |   2   0   0   3   0 |  *   * 160  *  *  *  * |  0 0  1  1  0  trip
12 |  18 |   4   0   0   0   4 |  *   *   * 80  *  *  * |  0 1  0  1  0  tut
 6 |  12 |   4   4   0   0   0 |  *   *   *  * 80  *  * |  0 0  1  0  1  oct
12 |  24 |   0   8   6   0   0 |  *   *   *  *  * 40  * |  0 0  0  0  2  co
12 |  24 |   0   0   0   6   4 |  *   *   *  *  *  * 40 |  0 0  0  2  0  cho
---+-----+---------------------+------------------------+--------------
10 |  30 |  20   0  15   0   0 |  5  10   0  0  0  0  0 | 16 *  *  *  *  firp
32 |  96 |  64   0   0   0  32 | 16   0   0 16  0  0  0 |  * 5  *  *  *  firt
10 |  30 |  20  10   0  15   0 |  0   0  10  0  5  0  0 |  * * 16  *  *  pinnip
30 |  90 |  20   0   0  30  20 |  0   0  10  5  0  0  5 |  * *  * 16  *  sirdop
30 |  90 |  20  30  30   0   0 |  0  10   0  0  5  5  0 |  * *  *  * 16  srip

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