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
External
links
wikipedia  

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

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