Acronym tahatico
Name tah atop tico,
tah-first segment of pirt
Circumradius 3
Lace city
in approx. ASCII-art
       x3x4o  o3u4o  o3x4q  o3u4o  x3x4o       		-- o3x3x4o (tah)
                                               
                                               
                                               
x3x4o  u3x4o  x3u4o  x3x4q  x3u4o  u3x4o  x3x4o		-- x3x3x4o (tico)
Face vector 288, 768, 744, 312, 50
Confer
uniform relative:
pirt  
general polytopal classes:
segmentotera   lace simplices  

Incidence matrix according to Dynkin symbol

ox3xx3xx *b3xx&#x   → height = 1/sqrt(2) = 0.707107
(tah || tico)

o.3o.3o. *b3o.    | 96   * |  2  1  1   2  0  0  0  0 |  1  2  2  1  1  2  2  2  0  0  0  0  0  0 | 1 1 2  1  1  1  2  2  2 0 0  0 0 | 1 1 1  1 2 0
.o3.o3.o *b3.o    |  * 192 |  0  0  0   1  1  1  1  1 |  0  0  0  0  1  1  1  1  1  1  1  1  1  1 | 0 0 0  1  1  1  1  1  1 1 1  1 1 | 0 1 1  1 1 1
------------------+--------+--------------------------+-------------------------------------------+----------------------------------+-------------
.. x. ..    ..    |  2   0 | 96  *  *   *  *  *  *  * |  1  1  1  0  0  1  0  0  0  0  0  0  0  0 | 1 1 1  1  0  0  1  1  0 0 0  0 0 | 1 1 1  0 1 0
.. .. x.    ..    |  2   0 |  * 48  *   *  *  *  *  * |  0  2  0  1  0  0  2  0  0  0  0  0  0  0 | 1 0 2  0  1  0  2  0  2 0 0  0 0 | 1 1 0  1 2 0
.. .. ..    x.    |  2   0 |  *  * 48   *  *  *  *  * |  0  0  2  1  0  0  0  2  0  0  0  0  0  0 | 0 1 2  0  0  1  0  2  2 0 0  0 0 | 1 0 1  1 2 0
oo3oo3oo *b3oo&#x |  1   1 |  *  *  * 192  *  *  *  * |  0  0  0  0  1  1  1  1  0  0  0  0  0  0 | 0 0 0  1  1  1  1  1  1 0 0  0 0 | 0 1 1  1 1 0
.x .. ..    ..    |  0   2 |  *  *  *   * 96  *  *  * |  0  0  0  0  1  0  0  0  1  1  1  0  0  0 | 0 0 0  1  1  1  0  0  0 1 1  1 0 | 0 1 1  1 0 1
.. .x ..    ..    |  0   2 |  *  *  *   *  * 96  *  * |  0  0  0  0  0  1  0  0  1  0  0  1  1  0 | 0 0 0  1  0  0  1  1  0 1 1  0 1 | 0 1 1  0 1 1
.. .. .x    ..    |  0   2 |  *  *  *   *  *  * 96  * |  0  0  0  0  0  0  1  0  0  1  0  1  0  1 | 0 0 0  0  1  0  1  0  1 1 0  1 1 | 0 1 0  1 1 1
.. .. ..    .x    |  0   2 |  *  *  *   *  *  *  * 96 |  0  0  0  0  0  0  0  1  0  0  1  0  1  1 | 0 0 0  0  0  1  0  1  1 0 1  1 1 | 0 0 1  1 1 1
------------------+--------+--------------------------+-------------------------------------------+----------------------------------+-------------
o.3x. ..    ..    |  3   0 |  3  0  0   0  0  0  0  0 | 32  *  *  *  *  *  *  *  *  *  *  *  *  * | 1 1 0  1  0  0  0  0  0 0 0  0 0 | 1 1 1  0 0 0
.. x.3x.    ..    |  6   0 |  3  3  0   0  0  0  0  0 |  * 32  *  *  *  *  *  *  *  *  *  *  *  * | 1 0 1  0  0  0  1  0  0 0 0  0 0 | 1 1 0  0 1 0
.. x. .. *b3x.    |  6   0 |  3  0  3   0  0  0  0  0 |  *  * 32  *  *  *  *  *  *  *  *  *  *  * | 0 1 1  0  0  0  0  1  0 0 0  0 0 | 1 0 1  0 1 0
.. .. x.    x.    |  4   0 |  0  2  2   0  0  0  0  0 |  *  *  * 24  *  *  *  *  *  *  *  *  *  * | 0 0 1  0  0  0  0  0  1 0 0  0 0 | 1 0 0  1 1 0
ox .. ..    ..&#x |  1   2 |  0  0  0   2  1  0  0  0 |  *  *  *  * 96  *  *  *  *  *  *  *  *  * | 0 0 0  1  1  1  0  0  0 0 0  0 0 | 0 1 1  1 0 0
.. xx ..    ..&#x |  2   2 |  1  0  0   2  0  1  0  0 |  *  *  *  *  * 96  *  *  *  *  *  *  *  * | 0 0 0  1  0  0  1  1  0 0 0  0 0 | 0 1 1  0 1 0
.. .. xx    ..&#x |  2   2 |  0  1  0   2  0  0  1  0 |  *  *  *  *  *  * 96  *  *  *  *  *  *  * | 0 0 0  0  1  0  1  0  1 0 0  0 0 | 0 1 0  1 1 0
.. .. ..    xx&#x |  2   2 |  0  0  1   2  0  0  0  1 |  *  *  *  *  *  *  * 96  *  *  *  *  *  * | 0 0 0  0  0  1  0  1  1 0 0  0 0 | 0 0 1  1 1 0
.x3.x ..    ..    |  0   6 |  0  0  0   0  3  3  0  0 |  *  *  *  *  *  *  *  * 32  *  *  *  *  * | 0 0 0  1  0  0  0  0  0 1 1  0 0 | 0 1 1  0 0 1
.x .. .x    ..    |  0   4 |  0  0  0   0  2  0  2  0 |  *  *  *  *  *  *  *  *  * 48  *  *  *  * | 0 0 0  0  1  0  0  0  0 1 0  1 0 | 0 1 0  1 0 1
.x .. ..    .x    |  0   4 |  0  0  0   0  2  0  0  2 |  *  *  *  *  *  *  *  *  *  * 48  *  *  * | 0 0 0  0  0  1  0  0  0 0 1  1 0 | 0 0 1  1 0 1
.. .x3.x    ..    |  0   6 |  0  0  0   0  0  3  3  0 |  *  *  *  *  *  *  *  *  *  *  * 32  *  * | 0 0 0  0  0  0  1  0  0 1 0  0 1 | 0 1 0  0 1 1
.. .x .. *b3.x    |  0   6 |  0  0  0   0  0  3  0  3 |  *  *  *  *  *  *  *  *  *  *  *  * 32  * | 0 0 0  0  0  0  0  1  0 0 1  0 1 | 0 0 1  0 1 1
.. .. .x    .x    |  0   4 |  0  0  0   0  0  0  2  2 |  *  *  *  *  *  *  *  *  *  *  *  *  * 48 | 0 0 0  0  0  0  0  0  1 0 0  1 1 | 0 0 0  1 1 1
------------------+--------+--------------------------+-------------------------------------------+----------------------------------+-------------
o.3x.3x.    ..     12   0 | 12  6  0   0  0  0  0  0 |  4  4  0  0  0  0  0  0  0  0  0  0  0  0 | 8 * *  *  *  *  *  *  * * *  * * | 1 1 0  0 0 0
o.3x. .. *b3x.     12   0 | 12  0  6   0  0  0  0  0 |  4  0  4  0  0  0  0  0  0  0  0  0  0  0 | * 8 *  *  *  *  *  *  * * *  * * | 1 0 1  0 0 0
.. x.3x. *b3x.     24   0 | 12 12 12   0  0  0  0  0 |  0  4  4  6  0  0  0  0  0  0  0  0  0  0 | * * 8  *  *  *  *  *  * * *  * * | 1 0 0  0 1 0
ox3xx ..    ..&#x   3   6 |  3  0  0   6  3  3  0  0 |  1  0  0  0  3  3  0  0  1  0  0  0  0  0 | * * * 32  *  *  *  *  * * *  * * | 0 1 1  0 0 0
ox .. xx    ..&#x   2   4 |  0  1  0   4  2  0  2  0 |  0  0  0  0  2  0  2  0  0  1  0  0  0  0 | * * *  * 48  *  *  *  * * *  * * | 0 1 0  1 0 0
ox .. ..    xx&#x   2   4 |  0  0  1   4  2  0  0  2 |  0  0  0  0  2  0  0  2  0  0  1  0  0  0 | * * *  *  * 48  *  *  * * *  * * | 0 0 1  1 0 0
.. xx3xx    ..&#x   6   6 |  3  3  0   6  0  3  3  0 |  0  1  0  0  0  3  3  0  0  0  0  1  0  0 | * * *  *  *  * 32  *  * * *  * * | 0 1 0  0 1 0
.. xx .. *b3xx&#x   6   6 |  3  0  3   6  0  3  0  3 |  0  0  1  0  0  3  0  3  0  0  0  0  1  0 | * * *  *  *  *  * 32  * * *  * * | 0 0 1  0 1 0
.. .. xx    xx&#x   4   4 |  0  2  2   4  0  0  2  2 |  0  0  0  1  0  0  2  2  0  0  0  0  0  1 | * * *  *  *  *  *  * 48 * *  * * | 0 0 0  1 1 0
.x3.x3.x    ..      0  24 |  0  0  0   0 12 12 12  0 |  0  0  0  0  0  0  0  0  4  6  0  4  0  0 | * * *  *  *  *  *  *  * 8 *  * * | 0 1 0  0 0 1
.x3.x .. *b3.x      0  24 |  0  0  0   0 12 12  0 12 |  0  0  0  0  0  0  0  0  4  0  6  0  4  0 | * * *  *  *  *  *  *  * * 8  * * | 0 0 1  0 0 1
.x .. .x    .x      0   8 |  0  0  0   0  4  0  4  4 |  0  0  0  0  0  0  0  0  0  2  2  0  0  2 | * * *  *  *  *  *  *  * * * 24 * | 0 0 0  1 0 1
.. .x3.x *b3.x      0  24 |  0  0  0   0  0 12 12 12 |  0  0  0  0  0  0  0  0  0  0  0  4  4  6 | * * *  *  *  *  *  *  * * *  * 8 | 0 0 0  0 1 1
------------------+--------+--------------------------+-------------------------------------------+----------------------------------+-------------
o.3x.3x. *b3x.     96   0 | 96 48 48   0  0  0  0  0 | 32 32 32 24  0  0  0  0  0  0  0  0  0  0 | 8 8 8  0  0  0  0  0  0 0 0  0 0 | 1 * *  * * *
ox3xx3xx    ..&#x  12  24 | 12  6  0  24 12 12 12  0 |  4  4  0  0 12 12 12  0  4  6  0  4  0  0 | 1 0 0  4  6  0  4  0  0 1 0  0 0 | * 8 *  * * *
ox3xx .. *b3xx&#x  12  24 | 12  0  6  24 12 12  0 12 |  4  0  4  0 12 12  0 12  4  0  6  0  4  0 | 0 1 0  4  0  6  0  4  0 0 1  0 0 | * * 8  * * *
ox .. xx    xx&#x   4   8 |  0  2  2   8  4  0  4  4 |  0  0  0  1  4  0  4  4  0  2  2  0  0  2 | 0 0 0  0  2  2  0  0  2 0 0  1 0 | * * * 24 * *
.. xx3xx *b3xx&#x  24  24 | 12 12 12  24  0 12 12 12 |  0  4  4  6  0 12 12 12  0  0  0  4  4  6 | 0 0 1  0  0  0  4  4  6 0 0  0 1 | * * *  * 8 *
.x3.x3.x *b3.x      0 192 |  0  0  0   0 96 96 96 96 |  0  0  0  0  0  0  0  0 32 48 48 32 32 48 | 0 0 0  0  0  0  0  0  0 8 8 24 8 | * * *  * * 1

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