Acronym	ratchet
Name	retrotriacontidicellihemitriacontaditeron
Field of sections	©
Circumradius	1
Vertex figure	©
Coordinates	(1/sqrt(2), 1/sqrt(2), 0, 0, 0)   & all permutations, all changes of sign
General of army	rat
Colonel of regiment	rat
Face vector	40, 240, 600, 560, 88
External links

Incidence matrix

40 |  12 |  24  24  6 |  16  48  6 12 |  8 12  8
---+-----+------------+---------------+---------
 2 | 240 |   4   4  1 |   4  12  2  4 |  4  5  4
---+-----+------------+---------------+---------
 3 |   3 | 320   *  * |   2   2  1  1 |  2  2  2
 4 |   4 |   * 240  * |   0   4  0  0 |  2  2  0
 6 |   6 |   *   * 40 |   0   0  0  4 |  0  0  4
---+-----+------------+---------------+---------
 4 |   6 |   4   0  0 | 160   *  *  * |  1  0  1  (tet)
 6 |   9 |   2   3  0 |   * 320  *  * |  1  1  0  (trip)
 6 |  12 |   8   0  0 |   *   * 40  * |  0  2  0  (oct)
12 |  24 |   8   0  4 |   *   *  * 40 |  0  0  2  (oho)
---+-----+------------+---------------+---------
10 |  30 |  20  15  0 |   5  10  0  0 | 32  *  *  (firp)
12 |  30 |  16  12  0 |   0   8  2  0 |  * 40  *  (ope)
20 |  60 |  40   0 10 |  10   0  0  5 |  *  * 16  (duhd)