Acronym deca agrip
Name deca atop grip,
deca-first cap of pirx
Circumradius sqrt(11/3) = 1.914854
Lace city
in approx. ASCII-art
 x3x3o  o3u3o  o3x3x      		-- o3x3x3o (deca)
                          
                          
                          
x3x3x  o3u3x  o3x3u  o3x3x		-- o3x3x3x (grip)
Face vector 90, 240, 240, 110, 22
Confer
uniform relative:
pirx  
general polytopal classes:
segmentotera   lace simplices  

Incidence matrix according to Dynkin symbol

oo3xx3xx3ox&#x   → height = sqrt(3/5) = 0.774597
(deca || grid)

o.3o.3o.3o.    | 30  * |  2  2  2  0  0  0 |  1  4  1  4  2  1  0  0  0  0 | 2 2  2  4  2  1 0  0 0 | 1 2  1 2 0
.o3.o3.o3.o    |  * 60 |  0  0  1  2  1  1 |  0  0  0  2  1  1  1  2  2  1 | 0 0  1  2  2  1 1  1 2 | 0 1  1 2 1
---------------+-------+-------------------+-------------------------------+------------------------+-----------
.. x. .. ..    |  2  0 | 30  *  *  *  *  * |  1  2  0  2  0  0  0  0  0  0 | 2 1  2  2  1  0 0  0 0 | 1 2  1 1 0
.. .. x. ..    |  2  0 |  * 30  *  *  *  * |  0  2  1  0  1  0  0  0  0  0 | 1 2  0  2  0  1 0  0 0 | 1 1  0 2 0
oo3oo3oo3oo&#x |  1  1 |  *  * 60  *  *  * |  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 |  *  *  * 60  *  * |  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 |  *  *  *  * 30  * |  0  0  0  0  1  0  0  2  0  1 | 0 0  0  2  0  1 1  0 2 | 0 1  0 2 1
.. .. .. .x    |  0  2 |  *  *  *  *  * 30 |  0  0  0  0  0  1  0  0  2  1 | 0 0  0  0  2  1 0  1 2 | 0 0  1 2 1
---------------+-------+-------------------+-------------------------------+------------------------+-----------
o.3x. .. ..    |  3  0 |  3  0  0  0  0  0 | 10  *  *  *  *  *  *  *  *  * | 2 0  2  0  0  0 0  0 0 | 1 2  1 0 0
.. x.3x. ..    |  6  0 |  3  3  0  0  0  0 |  * 20  *  *  *  *  *  *  *  * | 1 1  0  1  0  0 0  0 0 | 1 1  0 1 0
.. .. x.3o.    |  3  0 |  0  3  0  0  0  0 |  *  * 10  *  *  *  *  *  *  * | 0 2  0  0  0  1 0  0 0 | 1 0  0 2 0
.. xx .. ..&#x |  2  2 |  1  0  2  1  0  0 |  *  *  * 60  *  *  *  *  *  * | 0 0  1  1  1  0 0  0 0 | 0 1  1 1 0
.. .. xx ..&#x |  2  2 |  0  1  2  0  1  0 |  *  *  *  * 30  *  *  *  *  * | 0 0  0  2  0  1 0  0 0 | 0 1  0 2 0
.. .. .. ox&#x |  1  2 |  0  0  2  0  0  1 |  *  *  *  *  * 30  *  *  *  * | 0 0  0  0  2  1 0  0 0 | 0 0  1 2 0
.o3.x .. ..    |  0  3 |  0  0  0  3  0  0 |  *  *  *  *  *  * 20  *  *  * | 0 0  1  0  0  0 1  1 0 | 0 1  1 0 1
.. .x3.x ..    |  0  6 |  0  0  0  3  3  0 |  *  *  *  *  *  *  * 20  *  * | 0 0  0  1  0  0 1  0 1 | 0 1  0 1 1
.. .x .. .x    |  0  4 |  0  0  0  2  0  2 |  *  *  *  *  *  *  *  * 30  * | 0 0  0  0  1  0 0  1 1 | 0 0  1 1 1
.. .. .x3.x    |  0  6 |  0  0  0  0  3  3 |  *  *  *  *  *  *  *  *  * 10 | 0 0  0  0  0  1 0  0 2 | 0 0  0 2 1
---------------+-------+-------------------+-------------------------------+------------------------+-----------
o.3x.3x. ..     12  0 | 12  6  0  0  0  0 |  4  4  0  0  0  0  0  0  0  0 | 5 *  *  *  *  * *  * * | 1 1  0 0 0
.. x.3x.3o.     12  0 |  6 12  0  0  0  0 |  0  4  4  0  0  0  0  0  0  0 | * 5  *  *  *  * *  * * | 1 0  0 1 0
oo3xx .. ..&#x   3  3 |  3  0  3  3  0  0 |  1  0  0  3  0  0  1  0  0  0 | * * 20  *  *  * *  * * | 0 1  1 0 0
.. xx3xx ..&#x   6  6 |  3  3  6  3  3  0 |  0  1  0  3  3  0  0  1  0  0 | * *  * 20  *  * *  * * | 0 1  0 1 0
.. xx .. ox&#x   2  4 |  1  0  4  2  0  2 |  0  0  0  2  0  2  0  0  1  0 | * *  *  * 30  * *  * * | 0 0  1 1 0
.. .. xx3ox&#x   3  6 |  0  3  6  0  3  3 |  0  0  1  0  3  3  0  0  0  1 | * *  *  *  * 10 *  * * | 0 0  0 2 0
.o3.x3.x ..      0 12 |  0  0  0 12  6  0 |  0  0  0  0  0  0  4  4  0  0 | * *  *  *  *  * 5  * * | 0 1  0 0 1
.o3.x .. .x      0  6 |  0  0  0  6  0  3 |  0  0  0  0  0  0  2  0  3  0 | * *  *  *  *  * * 10 * | 0 0  1 0 1
.. .x3.x3.x      0 24 |  0  0  0 12 12 12 |  0  0  0  0  0  0  0  4  6  4 | * *  *  *  *  * *  * 5 | 0 0  0 1 1
---------------+-------+-------------------+-------------------------------+------------------------+-----------
o.3x.3x.3o.     30  0 | 30 30  0  0  0  0 | 10 20 10  0  0  0  0  0  0  0 | 5 5  0  0  0  0 0  0 0 | 1 *  * * *
oo3xx3xx ..&#x  12 12 | 12  6 12 12  6  0 |  4  4  0 12  6  0  4  4  0  0 | 1 0  4  4  0  0 1  0 0 | * 5  * * *
oo3xx .. ox&#x   3  6 |  3  0  6  6  0  3 |  1  0  0  6  0  3  2  0  3  0 | 0 0  2  0  3  0 0  1 0 | * * 10 * *
.. xx3xx3ox&#x  12 24 |  6 12 24 12 12 12 |  0  4  4 12 12 12  0  4  6  4 | 0 1  0  4  6  4 0  0 1 | * *  * 5 *
.o3.x3.x3.x      0 60 |  0  0  0 60 30 30 |  0  0  0  0  0  0 20 20 30 10 | 0 0  0  0  0  0 5 10 5 | * *  * * 1

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