Acronym pripalgrip
Name prip atop alternate grip
Circumradius sqrt(41/12) = 1.848423
Lace city
in approx. ASCII-art
x3o3x  u3o3x  x3x3x  x3x3o		-- x3x3o3x (prip)
                          
                          
x3x3o  u3x3o  x3u3o  x3x3x		-- x3x3x3o (alt. grip)
Confer
uniform relative:
pattix  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

xx3xx3xo3ox&#x   → height = sqrt(3/5) = 0.774597
(grip || alt. prip)

o.3o.3o.3o.    | 60  * |  1  1  2   2  0  0  0 |  1  2  0  1  2  2  2  1  0  0  0  0  0 | 2  1 1  2  2  1  2  1  1 0  0  0 0 | 1 2  1  1 1 0
.o3.o3.o3.o    |  * 60 |  0  0  0   2  1  2  2 |  0  0  0  0  2  2  1  2  2  2  1  2  1 | 0  0 0  2  1  2  1  2  1 1  2  1 1 | 0 1  2  1 1 1
---------------+-------+-----------------------+----------------------------------------+------------------------------------+--------------
x. .. .. ..    |  2  0 | 30  *  *   *  *  *  * |  1  2  0  0  2  0  0  0  0  0  0  0  0 | 2  1 0  2  2  1  0  0  0 0  0  0 0 | 1 2  1  1 0 0
.. x. .. ..    |  2  0 |  * 30  *   *  *  *  * |  1  0  2  0  0  2  0  0  0  0  0  0  0 | 2  0 1  2  0  0  2  1  0 0  0  0 0 | 1 2  1  0 1 0
.. .. x. ..    |  2  0 |  *  * 60   *  *  *  * |  0  1  1  1  0  0  1  0  0  0  0  0  0 | 1  1 1  0  1  0  1  0  1 0  0  0 0 | 1 1  0  1 1 0
oo3oo3oo3oo&#x |  1  1 |  *  *  * 120  *  *  * |  0  0  0  0  1  1  1  1  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 |  *  *  *   * 30  *  * |  0  0  0  0  2  0  0  0  2  2  0  0  0 | 0  0 0  2  1  2  0  0  0 1  2  1 0 | 0 1  2  1 0 1
.. .x .. ..    |  0  2 |  *  *  *   *  * 60  * |  0  0  0  0  0  1  0  0  1  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 |  *  *  *   *  *  * 60 |  0  0  0  0  0  0  0  1  0  1  0  1  1 | 0  0 0  0  0  1  0  1  1 0  1  1 1 | 0 0  1  1 1 1
---------------+-------+-----------------------+----------------------------------------+------------------------------------+--------------
x.3x. .. ..    |  6  0 |  3  3  0   0  0  0  0 | 10  *  *  *  *  *  *  *  *  *  *  *  * | 2  0 0  2  0  0  0  0  0 0  0  0 0 | 1 2  1  0 0 0
x. .. x. ..    |  4  0 |  2  0  2   0  0  0  0 |  * 30  *  *  *  *  *  *  *  *  *  *  * | 1  1 0  0  1  0  0  0  0 0  0  0 0 | 1 1  0  1 0 0
.. x.3x. ..    |  6  0 |  0  3  3   0  0  0  0 |  *  * 20  *  *  *  *  *  *  *  *  *  * | 1  0 1  0  0  0  1  0  0 0  0  0 0 | 1 1  0  0 1 0
.. .. x.3o.    |  3  0 |  0  0  3   0  0  0  0 |  *  *  * 20  *  *  *  *  *  *  *  *  * | 0  1 1  0  0  0  0  0  1 0  0  0 0 | 1 0  0  1 1 0
xx .. .. ..&#x |  2  2 |  1  0  0   2  1  0  0 |  *  *  *  * 60  *  *  *  *  *  *  *  * | 0  0 0  1  1  1  0  0  0 0  0  0 0 | 0 1  1  1 0 0
.. xx .. ..&#x |  2  2 |  0  1  0   2  0  1  0 |  *  *  *  *  * 60  *  *  *  *  *  *  * | 0  0 0  1  0  0  1  1  0 0  0  0 0 | 0 1  1  0 1 0
.. .. xo ..&#x |  2  1 |  0  0  1   2  0  0  0 |  *  *  *  *  *  * 60  *  *  *  *  *  * | 0  0 0  0  1  0  1  0  1 0  0  0 0 | 0 1  0  1 1 0
.. .. .. ox&#x |  1  2 |  0  0  0   2  0  0  1 |  *  *  *  *  *  *  * 60  *  *  *  *  * | 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 |  *  *  *  *  *  *  *  * 20  *  *  *  * | 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 |  *  *  *  *  *  *  *  *  * 30  *  *  * | 0  0 0  0  0  1  0  0  0 0  1  1 0 | 0 0  1  1 0 1
.. .x3.o ..    |  0  3 |  0  0  0   0  0  3  0 |  *  *  *  *  *  *  *  *  *  * 20  *  * | 0  0 0  0  0  0  1  0  0 1  0  0 1 | 0 1  0  0 1 1
.. .x .. .x    |  0  4 |  0  0  0   0  0  2  2 |  *  *  *  *  *  *  *  *  *  *  * 30  * | 0  0 0  0  0  0  0  1  0 0  1  0 1 | 0 0  1  0 1 1
.. .. .o3.x    |  0  3 |  0  0  0   0  0  0  3 |  *  *  *  *  *  *  *  *  *  *  *  * 20 | 0  0 0  0  0  0  0  0  1 0  0  1 1 | 0 0  0  1 1 1
---------------+-------+-----------------------+----------------------------------------+------------------------------------+--------------
x.3x.3x. ..     24  0 | 12 12 12   0  0  0  0 |  4  6  4  0  0  0  0  0  0  0  0  0  0 | 5  * *  *  *  *  *  *  * *  *  * * | 1 1  0  0 0 0
x. .. x.3o.      6  0 |  3  0  6   0  0  0  0 |  0  3  0  2  0  0  0  0  0  0  0  0  0 | * 10 *  *  *  *  *  *  * *  *  * * | 1 0  0  1 0 0
.. x.3x.3o.     12  0 |  0  6 12   0  0  0  0 |  0  0  4  4  0  0  0  0  0  0  0  0  0 | *  * 5  *  *  *  *  *  * *  *  * * | 1 0  0  0 1 0
xx3xx .. ..&#x   6  6 |  3  3  0   6  3  3  0 |  1  0  0  0  3  3  0  0  1  0  0  0  0 | *  * * 20  *  *  *  *  * *  *  * * | 0 1  1  0 0 0
xx .. xo ..&#x   4  2 |  2  0  2   4  1  0  0 |  0  1  0  0  2  0  2  0  0  0  0  0  0 | *  * *  * 30  *  *  *  * *  *  * * | 0 1  0  1 0 0
xx .. .. ox&#x   2  4 |  1  0  0   4  2  0  2 |  0  0  0  0  2  0  0  2  0  1  0  0  0 | *  * *  *  * 30  *  *  * *  *  * * | 0 0  1  1 0 0
.. xx3xo ..&#x   6  3 |  0  3  3   6  0  3  0 |  0  0  1  0  0  3  3  0  0  0  1  0  0 | *  * *  *  *  * 20  *  * *  *  * * | 0 1  0  0 1 0
.. xx .. ox&#x   2  4 |  0  1  0   4  0  2  2 |  0  0  0  0  0  2  0  2  0  0  0  1  0 | *  * *  *  *  *  * 30  * *  *  * * | 0 0  1  0 1 0
.. .. xo3ox&#x   3  3 |  0  0  3   6  0  0  3 |  0  0  0  1  0  0  3  3  0  0  0  0  1 | *  * *  *  *  *  *  * 20 *  *  * * | 0 0  0  1 1 0
.x3.x3.o ..      0 12 |  0  0  0   0  6 12  0 |  0  0  0  0  0  0  0  0  4  0  4  0  0 | *  * *  *  *  *  *  *  * 5  *  * * | 0 1  0  0 0 1
.x3.x .. .x      0 12 |  0  0  0   0  6  6  6 |  0  0  0  0  0  0  0  0  2  3  0  3  0 | *  * *  *  *  *  *  *  * * 10  * * | 0 0  1  0 0 1
.x .. .o3.x      0  6 |  0  0  0   0  3  0  6 |  0  0  0  0  0  0  0  0  0  3  0  0  2 | *  * *  *  *  *  *  *  * *  * 10 * | 0 0  0  1 0 1
.. .x3.o3.x      0 12 |  0  0  0   0  0 12 12 |  0  0  0  0  0  0  0  0  0  0  4  6  4 | *  * *  *  *  *  *  *  * *  *  * 5 | 0 0  0  0 1 1
---------------+-------+-----------------------+----------------------------------------+------------------------------------+--------------
x.3x.3x.3o.     60  0 | 30 30 60   0  0  0  0 | 10 30 20 20  0  0  0  0  0  0  0  0  0 | 5 10 5  0  0  0  0  0  0 0  0  0 0 | 1 *  *  * * *
xx3xx3xo ..&#x  24 12 | 12 12 12  24  6 12  0 |  4  6  4  0 12 12 12  0  4  0  4  0  0 | 1  0 0  4  6  0  4  0  0 1  0  0 0 | * 5  *  * * *
xx3xx .. ox&#x   6 12 |  3  3  0  12  6  6  6 |  1  0  0  0  6  6  0  6  2  3  0  3  0 | 0  0 0  2  0  3  0  3  0 0  1  0 0 | * * 10  * * *
xx .. xo3ox&#x   6  6 |  3  0  6  12  3  0  6 |  0  3  0  2  6  0  6  6  0  3  0  0  2 | 0  1 0  0  3  3  0  0  2 0  0  1 0 | * *  * 10 * *
.. xx3xo3ox&#x  12 12 |  0  6 12  24  0 12 12 |  0  0  4  4  0 12 12 12  0  0  4  6  4 | 0  0 1  0  0  0  4  6  4 0  0  0 1 | * *  *  * 5 *
.x3.x3.o3.x      0 60 |  0  0  0   0 30 60 60 |  0  0  0  0  0  0  0  0 20 30 20 30 20 | 0  0 0  0  0  0  0  0  0 5 10 10 5 | * *  *  * * 1

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