Acronym tataproh
Name tat atop proh,
tat-first cap of capt
Circumradius sqrt[19+10 sqrt(2)]/2 = 2.878460
Face vector 256, 800, 936, 472, 82
Confer
uniform relative:
capt  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

ox3oo3xx4xx&#x   → height = 1/sqrt(2) = 0.707107
(tat || proh)

o.3o.3o.4o.    | 64   * |  3  1   3   0   0  0 |  3  3   3   6  3  0  0  0  0  0 |  1 3  1  3  3  3  6  0  0  0 0 | 1  1  1  3 3 0
.o3.o3.o4.o    |  * 192 |  0  0   1   2   2  1 |  0  0   2   2  1  1  2  2  1  2 |  0 0  1  2  2  1  2  1  1  2 1 | 0  1  1  2 1 1
---------------+--------+----------------------+---------------------------------+--------------------------------+---------------
.. .. x. ..    |  2   0 | 96  *   *   *   *  * |  2  1   0   2  0  0  0  0  0  0 |  1 2  0  1  0  2  2  0  0  0 0 | 1  1  0  1 2 0
.. .. .. x.    |  2   0 |  * 32   *   *   *  * |  0  3   0   0  3  0  0  0  0  0 |  0 3  0  0  3  0  6  0  0  0 0 | 1  0  1  3 3 0
oo3oo3oo4oo&#x |  1   1 |  *  * 192   *   *  * |  0  0   2   2  1  0  0  0  0  0 |  0 0  1  2  2  1  2  0  0  0 0 | 0  1  1  2 1 0
.x .. .. ..    |  0   2 |  *  *   * 192   *  * |  0  0   1   0  0  1  1  1  0  0 |  0 0  1  1  1  0  0  1  1  1 0 | 0  1  1  1 0 1
.. .. .x ..    |  0   2 |  *  *   *   * 192  * |  0  0   0   1  0  0  1  0  1  1 |  0 0  0  1  0  1  1  1  0  1 1 | 0  1  0  1 1 1
.. .. .. .x    |  0   2 |  *  *   *   *   * 96 |  0  0   0   0  1  0  0  2  0  2 |  0 0  0  0  2  0  2  0  1  2 1 | 0  0  1  2 1 1
---------------+--------+----------------------+---------------------------------+--------------------------------+---------------
.. o.3x. ..    |  3   0 |  3  0   0   0   0  0 | 64  *   *   *  *  *  *  *  *  * |  1 1  0  0  0  1  0  0  0  0 0 | 1  1  0  0 1 0
.. .. x.4x.    |  8   0 |  4  4   0   0   0  0 |  * 24   *   *  *  *  *  *  *  * |  0 2  0  0  0  0  2  0  0  0 0 | 1  0  0  1 2 0
ox .. .. ..&#x |  1   2 |  0  0   2   1   0  0 |  *  * 192   *  *  *  *  *  *  * |  0 0  1  1  1  0  0  0  0  0 0 | 0  1  1  1 0 0
.. .. xx ..&#x |  2   2 |  1  0   2   0   1  0 |  *  *   * 192  *  *  *  *  *  * |  0 0  0  1  0  1  1  0  0  0 0 | 0  1  0  1 1 0
.. .. .. xx&#x |  2   2 |  0  1   2   0   0  1 |  *  *   *   * 96  *  *  *  *  * |  0 0  0  0  2  0  2  0  0  0 0 | 0  0  1  2 1 0
.x3.o .. ..    |  0   3 |  0  0   0   3   0  0 |  *  *   *   *  * 64  *  *  *  * |  0 0  1  0  0  0  0  1  1  0 0 | 0  1  1  0 0 1
.x .. .x ..    |  0   4 |  0  0   0   2   2  0 |  *  *   *   *  *  * 96  *  *  * |  0 0  0  1  0  0  0  1  0  1 0 | 0  1  0  1 0 1
.x .. .. .x    |  0   4 |  0  0   0   2   0  2 |  *  *   *   *  *  *  * 96  *  * |  0 0  0  0  1  0  0  0  1  1 0 | 0  0  1  1 0 1
.. .o3.x ..    |  0   3 |  0  0   0   0   3  0 |  *  *   *   *  *  *  *  * 64  * |  0 0  0  0  0  1  0  1  0  0 1 | 0  1  0  0 1 1
.. .. .x4.x    |  0   8 |  0  0   0   0   4  4 |  *  *   *   *  *  *  *  *  * 48 |  0 0  0  0  0  0  1  0  0  1 1 | 0  0  0  1 1 1
---------------+--------+----------------------+---------------------------------+--------------------------------+---------------
o.3o.3x. ..      4   0 |  6  0   0   0   0  0 |  4  0   0   0  0  0  0  0  0  0 | 16 *  *  *  *  *  *  *  *  * * | 1  1  0  0 0 0
.. o.3x.4x.     24   0 | 24 12   0   0   0  0 |  8  6   0   0  0  0  0  0  0  0 |  * 8  *  *  *  *  *  *  *  * * | 1  0  0  0 1 0
ox3oo .. ..&#x   1   3 |  0  0   3   3   0  0 |  0  0   3   0  0  1  0  0  0  0 |  * * 64  *  *  *  *  *  *  * * | 0  1  1  0 0 0
ox .. xx ..&#x   2   4 |  1  0   4   2   2  0 |  0  0   2   2  0  0  1  0  0  0 |  * *  * 96  *  *  *  *  *  * * | 0  1  0  1 0 0
ox .. .. xx&#x   2   4 |  0  1   4   2   0  2 |  0  0   2   0  2  0  0  1  0  0 |  * *  *  * 96  *  *  *  *  * * | 0  0  1  1 0 0
.. oo3xx ..&#x   3   3 |  3  0   3   0   3  0 |  1  0   0   3  0  0  0  0  1  0 |  * *  *  *  * 64  *  *  *  * * | 0  1  0  0 1 0
.. .. xx4xx&#x   8   8 |  4  4   8   0   4  4 |  0  1   0   4  4  0  0  0  0  1 |  * *  *  *  *  * 48  *  *  * * | 0  0  0  1 1 0
.x3.o3.x ..      0  12 |  0  0   0  12  12  0 |  0  0   0   0  0  4  6  0  4  0 |  * *  *  *  *  *  * 16  *  * * | 0  1  0  0 0 1
.x3.o .. .x      0   6 |  0  0   0   6   0  3 |  0  0   0   0  0  2  0  3  0  0 |  * *  *  *  *  *  *  * 32  * * | 0  0  1  0 0 1
.x .. .x4.x      0  16 |  0  0   0   8   8  8 |  0  0   0   0  0  0  4  4  0  2 |  * *  *  *  *  *  *  *  * 24 * | 0  0  0  1 0 1
.. .o3.x4.x      0  24 |  0  0   0   0  24 12 |  0  0   0   0  0  0  0  0  8  6 |  * *  *  *  *  *  *  *  *  * 8 | 0  0  0  0 1 1
---------------+--------+----------------------+---------------------------------+--------------------------------+---------------
o.3o.3x.4x.     64   0 | 96 32   0   0   0  0 | 64 24   0   0  0  0  0  0  0  0 | 16 8  0  0  0  0  0  0  0  0 0 | 1  *  *  * * *
ox3oo3xx ..&#x   4  12 |  6  0  12  12  12  0 |  4  0  12  12  0  4  6  0  4  0 |  1 0  4  6  0  4  0  1  0  0 0 | * 16  *  * * *
ox3oo .. xx&#x   2   6 |  0  1   6   6   0  3 |  0  0   6   0  3  2  0  3  0  0 |  0 0  2  0  3  0  0  0  1  0 0 | *  * 32  * * *
ox .. xx4xx&#x   8  16 |  4  4  16   8   8  8 |  0  1   8   8  8  0  4  4  0  2 |  0 0  0  4  4  0  2  0  0  1 0 | *  *  * 24 * *
.. oo3xx4xx&#x  24  24 | 24 12  24   0  24 12 |  8  6   0  24 12  0  0  0  8  6 |  0 1  0  0  0  8  6  0  0  0 1 | *  *  *  * 8 *
.x3.o3.x4.x      0 192 |  0  0   0 192 192 96 |  0  0   0   0  0 64 96 96 64 48 |  0 0  0  0  0  0  0 16 32 24 8 | *  *  *  * * 1

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