Acronym ritag thex
Name rit atop gyrated thex,
rit-first cap of sirhin
Circumradius sqrt(21/8) = 1.620185
Face vector 80, 312, 376, 168, 26
Confer
uniform relative:
sirhin  
general polytopal classes:
segmentotera   lace simplices  

Incidence matrix according to Dynkin symbol

oo3ox3xo *b3xx&#x   → height = 1/sqrt(2) = 0.707107
(rit || gyro thex)

o.3o.3o. *b3o.    | 32  * |  3  3  3  0  0 |  3  3  3  3  3  3  0  0  0 | 1 1 3  1  3  3  3 0 0 0 | 1 1 1 3 0
.o3.o3.o *b3.o    |  * 48 |  0  0  2  4  1 |  0  0  0  4  1  2  2  2  4 | 0 0 0  2  2  4  1 1 2 2 | 0 1 2 2 1
------------------+-------+----------------+----------------------------+-------------------------+----------
.. .. x.    ..    |  2  0 | 48  *  *  *  * |  2  0  1  0  1  0  0  0  0 | 1 0 2  0  2  0  1 0 0 0 | 1 1 0 2 0
.. .. ..    x.    |  2  0 |  * 48  *  *  * |  0  2  1  0  0  1  0  0  0 | 0 1 2  0  0  2  1 0 0 0 | 1 0 1 2 0
oo3oo3oo *b3oo&#x |  1  1 |  *  * 96  *  * |  0  0  0  2  1  1  0  0  0 | 0 0 0  1  2  2  1 0 0 0 | 0 1 1 2 0
.. .x ..    ..    |  0  2 |  *  *  * 96  * |  0  0  0  1  0  0  1  1  1 | 0 0 0  1  1  1  0 1 1 1 | 0 1 1 1 1
.. .. ..    .x    |  0  2 |  *  *  *  * 24 |  0  0  0  0  0  2  0  0  4 | 0 0 0  0  0  4  1 0 2 2 | 0 0 2 2 1
------------------+-------+----------------+----------------------------+-------------------------+----------
.. o.3x.    ..    |  3  0 |  3  0  0  0  0 | 32  *  *  *  *  *  *  *  * | 1 0 1  0  1  0  0 0 0 0 | 1 1 0 1 0
.. o. .. *b3x.    |  3  0 |  0  3  0  0  0 |  * 32  *  *  *  *  *  *  * | 0 1 1  0  0  1  0 0 0 0 | 1 0 1 1 0
.. .. x.    x.    |  4  0 |  2  2  0  0  0 |  *  * 24  *  *  *  *  *  * | 0 0 2  0  0  0  1 0 0 0 | 1 0 0 2 0
.. ox ..    ..&#x |  1  2 |  0  0  2  1  0 |  *  *  * 96  *  *  *  *  * | 0 0 0  1  1  1  0 0 0 0 | 0 1 1 1 0
.. .. xo    ..&#x |  2  1 |  1  0  2  0  0 |  *  *  *  * 48  *  *  *  * | 0 0 0  0  2  0  1 0 0 0 | 0 1 0 2 0
.. .. ..    xx&#x |  2  2 |  0  1  2  0  1 |  *  *  *  *  * 48  *  *  * | 0 0 0  0  0  2  1 0 0 0 | 0 0 1 2 0
.o3.x ..    ..    |  0  3 |  0  0  0  3  0 |  *  *  *  *  *  * 32  *  * | 0 0 0  1  0  0  0 1 1 0 | 0 1 1 0 1
.. .x3.o    ..    |  0  3 |  0  0  0  3  0 |  *  *  *  *  *  *  * 32  * | 0 0 0  0  1  0  0 1 0 1 | 0 1 0 1 1
.. .x .. *b3.x    |  0  6 |  0  0  0  3  3 |  *  *  *  *  *  *  *  * 32 | 0 0 0  0  0  1  0 0 1 1 | 0 0 1 1 1
------------------+-------+----------------+----------------------------+-------------------------+----------
o.3o.3x.    ..      4  0 |  6  0  0  0  0 |  4  0  0  0  0  0  0  0  0 | 8 * *  *  *  *  * * * * | 1 1 0 0 0
o.3o. .. *b3x.      4  0 |  0  6  0  0  0 |  0  4  0  0  0  0  0  0  0 | * 8 *  *  *  *  * * * * | 1 0 1 0 0
.. o.3x. *b3x.     12  0 | 12 12  0  0  0 |  4  4  6  0  0  0  0  0  0 | * * 8  *  *  *  * * * * | 1 0 0 1 0
oo3ox ..    ..&#x   1  3 |  0  0  3  3  0 |  0  0  0  3  0  0  1  0  0 | * * * 32  *  *  * * * * | 0 1 1 0 0
.. ox3xo    ..&#x   3  3 |  3  0  6  3  0 |  1  0  0  3  3  0  0  1  0 | * * *  * 32  *  * * * * | 0 1 0 1 0
.. ox .. *b3xx&#x   3  6 |  0  3  6  3  3 |  0  1  0  3  0  3  0  0  1 | * * *  *  * 32  * * * * | 0 0 1 1 0
.. .. xo    xx&#x   4  2 |  2  2  4  0  1 |  0  0  1  0  2  2  0  0  0 | * * *  *  *  * 24 * * * | 0 0 0 2 0
.o3.x3.o    ..      0  6 |  0  0  0 12  0 |  0  0  0  0  0  0  4  4  0 | * * *  *  *  *  * 8 * * | 0 1 0 0 1
.o3.x .. *b3.x      0 12 |  0  0  0 12  6 |  0  0  0  0  0  0  4  0  4 | * * *  *  *  *  * * 8 * | 0 0 1 0 1
.. .x3.o *b3.x      0 12 |  0  0  0 12  6 |  0  0  0  0  0  0  0  4  4 | * * *  *  *  *  * * * 8 | 0 0 0 1 1
------------------+-------+----------------+----------------------------+-------------------------+----------
o.3o.3x. *b3x.     32  0 | 48 48  0  0  0 | 32 32 24  0  0  0  0  0  0 | 8 8 8  0  0  0  0 0 0 0 | 1 * * * *
oo3ox3xo    ..&#x   4  6 |  6  0 12 12  0 |  4  0  0 12  6  0  4  4  0 | 1 0 0  4  4  0  0 1 0 0 | * 8 * * *
oo3ox .. *b3xx&#x   4 12 |  0  6 12 12  6 |  0  4  0 12  0  6  4  0  4 | 0 1 0  4  0  4  0 0 1 0 | * * 8 * *
.. ox3xo *b3xx&#x  12 12 | 12 12 24 12  6 |  4  4  6 12 12 12  0  4  4 | 0 0 1  0  4  4  6 0 0 1 | * * * 8 *
.o3.x3.o *b3.x      0 48 |  0  0  0 96 24 |  0  0  0  0  0  0 32 32 32 | 0 0 0  0  0  0  0 8 8 8 | * * * * 1

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