Acronym irl
Name invertiretrolepidoteron
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, 880, 400, 48

Incidence matrix

80   12 |  12   6  12  12 |  6  12 12  6  6 |  2  6  6
---+-----+-----------------+-----------------+---------
 2 | 480 |   2   1   2   2 |  2   3  3  2  2 |  1  3  3
---+-----+-----------------+-----------------+---------
 3 |   3 | 320   *   *   * |  1   1  1  0  0 |  1  1  1
 3 |   3 |   * 160   *   * |  2   0  0  2  0 |  1  3  0
 4 |   4 |   *   * 240   * |  0   2  0  0  1 |  1  0  2
 6 |   6 |   *   *   * 160 |  0   0  2  1  1 |  0  2  2
---+-----+-----------------+-----------------+---------
 6 |  12 |   4   4   0   0 | 80   *  *  *  * |  1  1  0  (oct)
 6 |   9 |   2   0   3   0 |  * 160  *  *  * |  1  0  1  (trip)
12 |  18 |   4   0   0   4 |  *   * 80  *  * |  0  1  1  (tut)
12 |  24 |   0   8   0   4 |  *   *  * 40  * |  0  2  0  (oho)
12 |  24 |   0   0   6   4 |  *   *  *  * 40 |  0  0  2  (cho)
---+-----+-----------------+-----------------+---------
10 |  30 |  20  10  15   0 |  5  10  0  0  0 | 16  *  *  (pinnip)
30 |  90 |  20  30   0  20 |  5   0  5  5  0 |  * 16  *  (rawvtip)
30 |  90 |  20   0  30  20 |  0  10  5  0  5 |  *  * 16  (sirdop)

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