Acronym raccoth
Name retrocellitriacontadiahexadecateron
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, 960, 640, 88

Incidence matrix

80   12 |  12  12  12  12 |  4  12  12  24  6  6 |  2  2  6 12
---+-----+-----------------+----------------------+------------
 2 | 480 |   2   2   2   2 |  1   3   3   6  2  2 |  1  1  3  5
---+-----+-----------------+----------------------+------------
 3 |   3 | 320   *   *   * |  1   1   1   0  1  0 |  1  1  0  2
 4 |   4 |   * 240   *   * |  0   2   0   2  0  0 |  1  0  1  2
 4 |   4 |   *   * 240   * |  0   0   2   2  0  1 |  0  1  2  2
 6 |   6 |   *   *   * 160 |  0   0   0   2  1  1 |  0  0  2  2
---+-----+-----------------+----------------------+------------
 4 |   6 |   4   0   0   0 | 80   *   *   *  *  * |  1  1  0  0  (tet)
 6 |   9 |   2   3   0   0 |  * 160   *   *  *  * |  1  0  0  1  (trip)
 6 |   9 |   2   0   3   0 |  *   * 160   *  *  * |  0  1  0  1  (trip)
12 |  18 |   0   3   3   2 |  *   *   * 160  *  * |  0  0  1  1  (hip)
12 |  24 |   8   0   0   4 |  *   *   *   * 40  * |  0  0  0  2  (oho)
12 |  24 |   0   0   6   4 |  *   *   *   *  * 40 |  0  0  2  0  (cho)
---+-----+-----------------+----------------------+------------
10 |  30 |  20  15   0   0 |  5  10   0   0  0  0 | 16  *  *  *  (firp)
10 |  30 |  20   0  15   0 |  5   0  10   0  0  0 |  * 16  *  *  (firp)
30 |  90 |   0  15  30  20 |  0   0   0  10  0  5 |  *  * 16  *  (garpop)
24 |  60 |  16  12  12   8 |  0   4   4   4  2  0 |  *  *  * 40  (ohope)

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