Acronym	capt
Name	celliprismated triacontiditeron, steritruncated penteract
Circumradius	sqrt[19+10 sqrt(2)]/2 = 2.878460
Vertex figure	©
Coordinates	((1+2 sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/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 capt is isomorphic to quacpot, thereby replacing octagons by octagrams, resp. tic by quith and op by stop, resp. tat by quitit, ticcup by quithip, and todip by tistodip.

Incidence matrix according to Dynkin symbol

x3o3o3x4x

. . . . . | 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
. . . x4x |   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 . . x4x ♦  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
. . o3x4x ♦  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 . x4x ♦  24 |  24  12  12 |   8  12  12   0   3 |   0   4   4   0   3   0  0 |  *  * 80  *  *
x . o3x4x ♦  48 |  24  48  24 |   0  24  12  16  12 |   0   0   0   8   6   0  2 |  *  *  * 40  *
. o3o3x4x ♦  64 |   0  96  32 |   0   0   0  64  24 |   0   0   0   0   0  16  8 |  *  *  *  * 10

snubbed forms: x3o3o3x4s