Acronym	quacpot
Name	quasicelliprismated triacontiditeron
Circumradius	sqrt[19-10 sqrt(2)]/2 = 1.102028
Coordinates	((2 sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign
Face vector	640, 2240, 2960, 1600, 242
Confer	general polytopal classes: Wythoffian polytera
External links

As abstract polytope quacpot is isomorphic to capt, thereby replacing octagrams by octagons, resp. quith by tic and stop by op, resp. quitit by tat, quithip by ticcup, and tistodip by todip.

Incidence matrix according to Dynkin symbol

x3o3o3x4/3x

. . . .   . | 640 |   3   3   1 |   3   6   3   3   3 |   1   3   3   3   6   1  3 |  1  1  3  3  1
------------+-----+-------------+---------------------+----------------------------+---------------
x . . .   . |   2 | 960   *   * |   2   2   1   0   0 |   1   2   2   1   2   0  0 |  1  1  2  1  0
. . . x   . |   2 |   * 960   * |   0   2   0   2   1 |   0   1   0   2   2   1  2 |  1  0  1  2  1
. . . .   x |   2 |   *   * 320 |   0   0   3   0   3 |   0   0   3   0   6   0  3 |  0  1  3  3  1
------------+-----+-------------+---------------------+----------------------------+---------------
x3o . .   . |   3 |   3   0   0 | 640   *   *   *   * |   1   1   1   0   0   0  0 |  1  1  1  0  0
x . . x   . |   4 |   2   2   0 |   * 960   *   *   * |   0   1   0   1   1   0  0 |  1  0  1  1  0
x . . .   x |   4 |   2   0   2 |   *   * 480   *   * |   0   0   2   0   2   0  0 |  0  1  2  1  0
. . o3x   . |   3 |   0   3   0 |   *   *   * 640   * |   0   0   0   1   0   1  1 |  1  0  0  1  1
. . . x4/3x |   8 |   0   4   4 |   *   *   *   * 240 |   0   0   0   0   2   0  2 |  0  0  1  2  1
------------+-----+-------------+---------------------+----------------------------+---------------
x3o3o .   . ♦   4 |   6   0   0 |   4   0   0   0   0 | 160   *   *   *   *   *  * |  1  1  0  0  0
x3o . x   . ♦   6 |   6   3   0 |   2   3   0   0   0 |   * 320   *   *   *   *  * |  1  0  1  0  0
x3o . .   x ♦   6 |   6   0   3 |   2   0   3   0   0 |   *   * 320   *   *   *  * |  0  1  1  0  0
x . o3x   . ♦   6 |   3   6   0 |   0   3   0   2   0 |   *   *   * 320   *   *  * |  1  0  0  1  0
x . . x4/3x ♦  16 |   8   8   8 |   0   4   4   0   2 |   *   *   *   * 240   *  * |  0  0  1  1  0
. o3o3x   . ♦   4 |   0   6   0 |   0   0   0   4   0 |   *   *   *   *   * 160  * |  1  0  0  0  1
. . o3x4/3x ♦  24 |   0  24  12 |   0   0   0   8   4 |   *   *   *   *   *   * 80 |  0  0  0  1  1
------------+-----+-------------+---------------------+----------------------------+---------------
x3o3o3x   . ♦  20 |  30  30   0 |  20  30   0  20   0 |   5  10   0  10   0   5  0 | 32  *  *  *  *
x3o3o .   x ♦   8 |  12   0   4 |   8   0   6   0   0 |   2   0   4   0   0   0  0 |  * 80  *  *  *
x3o . x4/3x ♦  24 |  24  12  12 |   8  12  12   0   3 |   0   4   4   0   3   0  0 |  *  * 80  *  *
x . o3x4/3x ♦  48 |  24  48  24 |   0  24  12  16  12 |   0   0   0   8   6   0  2 |  *  *  * 40  *
. o3o3x4/3x ♦  64 |   0  96  32 |   0   0   0  64  24 |   0   0   0   0   0  16  8 |  *  *  *  * 10