Acronym hexalrit
Name hex atop gyrated rit,
hex-first cap of siphin
Circumradius sqrt(13/8) = 1.274755
Lace city
in approx. ASCII-art
       x3o3o  o3o3x       		-- x3o3o *b3o (hex)
                          
                          
                          
x3o3o  x3x3o  o3x3x  o3o3x		-- x3o3x *b3o (rit)
Face vector 40, 152, 216, 128, 26
Confer
uniform relative:
siphin  
general polytopal classes:
segmentotera   lace simplices  

Incidence matrix according to Dynkin symbol

oo3oo3ox *b3xx&#x   → height = 1/sqrt(2) = 0.707107

o.3o.3o. *b3o.    | 8  * |  6  4  0  0 | 12  6 12  0  0  0 | 4 4  4 12  6 0 0 0 | 1 1 4 4 0
.o3.o3.o *b3.o    | * 32 |  0  1  3  3 |  0  3  3  3  3  3 | 0 0  3  3  3 1 1 3 | 0 1 1 3 1
------------------+------+-------------+-------------------+--------------------+----------
.. .. ..    x.    | 2  0 | 24  *  *  * |  4  0  2  0  0  0 | 2 2  0  4  1 0 0 0 | 1 0 2 2 0
oo3oo3oo *b3oo&#x | 1  1 |  * 32  *  * |  0  3  3  0  0  0 | 0 0  3  3  3 0 0 0 | 0 1 1 3 0
.. .. .x    ..    | 0  2 |  *  * 48  * |  0  1  0  2  0  1 | 0 0  2  0  1 1 0 2 | 0 1 0 2 1
.. .. ..    .x    | 0  2 |  *  *  * 48 |  0  0  1  0  2  1 | 0 0  0  2  1 0 1 2 | 0 0 1 2 1
------------------+------+-------------+-------------------+--------------------+----------
.. o. .. *b3x.    | 3  0 |  3  0  0  0 | 32  *  *  *  *  * | 1 1  0  1  0 0 0 0 | 1 0 1 1 0
.. .. ox    ..&#x | 1  2 |  0  2  1  0 |  * 48  *  *  *  * | 0 0  2  0  1 0 0 0 | 0 1 0 2 0
.. .. ..    xx&#x | 2  2 |  1  2  0  1 |  *  * 48  *  *  * | 0 0  0  2  1 0 0 0 | 0 0 1 2 0
.. .o3.x    ..    | 0  3 |  0  0  3  0 |  *  *  * 32  *  * | 0 0  1  0  0 1 0 1 | 0 1 0 1 1
.. .o .. *b3.x    | 0  3 |  0  0  0  3 |  *  *  *  * 32  * | 0 0  0  1  0 0 1 1 | 0 0 1 1 1
.. .. .x    .x    | 0  4 |  0  0  2  2 |  *  *  *  *  * 24 | 0 0  0  0  1 0 0 2 | 0 0 0 2 1
------------------+------+-------------+-------------------+--------------------+----------
o.3o. .. *b3x.     4  0 |  6  0  0  0 |  4  0  0  0  0  0 | 8 *  *  *  * * * * | 1 0 1 0 0
.. o.3o. *b3x.     4  0 |  6  0  0  0 |  4  0  0  0  0  0 | * 8  *  *  * * * * | 1 0 0 1 0
.. oo3ox    ..&#x  1  3 |  0  3  3  0 |  0  3  0  1  0  0 | * * 32  *  * * * * | 0 1 0 1 0
.. oo .. *b3xx&#x  3  3 |  3  3  0  3 |  1  0  3  0  1  0 | * *  * 32  * * * * | 0 0 1 1 0
.. .. ox    xx&#x  2  4 |  1  4  2  2 |  0  2  2  0  0  1 | * *  *  * 24 * * * | 0 0 0 2 0
.o3.o3.x    ..     0  4 |  0  0  6  0 |  0  0  0  4  0  0 | * *  *  *  * 8 * * | 0 1 0 0 1
.o3.o .. *b3.x     0  4 |  0  0  0  6 |  0  0  0  0  4  0 | * *  *  *  * * 8 * | 0 0 1 0 1
.. .o3.x *b3.x     0 12 |  0  0 12 12 |  0  0  0  4  4  6 | * *  *  *  * * * 8 | 0 0 0 1 1
------------------+------+-------------+-------------------+--------------------+----------
o.3o.3o. *b3x.     8  0 | 24  0  0  0 | 32  0  0  0  0  0 | 8 8  0  0  0 0 0 0 | 1 * * * *
oo3oo3ox    ..&#x  1  4 |  0  4  6  0 |  0  6  0  4  0  0 | 0 0  4  0  0 1 0 0 | * 8 * * *
oo3oo .. *b3xx&#x  4  4 |  6  4  0  6 |  4  0  6  0  4  0 | 1 0  0  4  0 0 1 0 | * * 8 * *
.. oo3ox *b3xx&#x  4 12 |  6 12 12 12 |  4 12 12  4  4  6 | 0 1  4  4  6 0 0 1 | * * * 8 *
.o3.o3.x *b3.x     0 32 |  0  0 48 48 |  0  0  0 32 32 24 | 0 0  0  0  0 8 8 8 | * * * * 1

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