Acronym gripagippid
Name grip atop gippid,
grip-first cap of cograx
Circumradius sqrt(65/12) = 2.327373
Confer
uniform relative:
cograx  
general polytopal classes:
segmentotera   lace simplices  

Incidence matrix according to Dynkin symbol

ox3xx3xx3xx&#x   → height = sqrt(3/5) = 0.774597
(grip || gippid)

o.3o.3o.3o.    | 60   * |  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.o3.o    |  * 120 |  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 | 60  *  *   *  *  *  *  * |  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 |  * 30  *   *  *  *  *  * |  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 |  *  * 30   *  *  *  *  * |  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
oo3oo3oo3oo&#x |  1   1 |  *  *  * 120  *  *  *  * |  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 |  *  *  *   * 60  *  *  * |  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 |  *  *  *   *  * 60  *  * |  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 |  *  *  *   *  *  * 60  * |  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 |  *  *  *   *  *  *  * 60 |  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 | 20  *  *  *  *  *  *  *  *  *  *  *  *  * | 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 |  * 20  *  *  *  *  *  *  *  *  *  *  *  * | 1  0 1  0  0  0  1  0  0 0  0  0 0 | 1 1  0  0 1 0
.. x. .. x.    |  4   0 |  2  0  2   0  0  0  0  0 |  *  * 30  *  *  *  *  *  *  *  *  *  *  * | 0  1 1  0  0  0  0  1  0 0  0  0 0 | 1 0  1  0 1 0
.. .. x.3x.    |  6   0 |  0  3  3   0  0  0  0  0 |  *  *  * 10  *  *  *  *  *  *  *  *  *  * | 0  0 2  0  0  0  0  0  2 0  0  0 0 | 1 0  0  1 2 0
ox .. .. ..&#x |  1   2 |  0  0  0   2  1  0  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 |  1  0  0   2  0  1  0  0 |  *  *  *  *  * 60  *  *  *  *  *  *  *  * | 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 |  *  *  *  *  *  * 60  *  *  *  *  *  *  * | 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 |  *  *  *  *  *  *  * 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  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  0 |  *  *  *  *  *  *  *  *  * 30  *  *  *  * | 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 |  *  *  *  *  *  *  *  *  *  * 30  *  *  * | 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 |  *  *  *  *  *  *  *  *  *  *  * 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  0  2 |  *  *  *  *  *  *  *  *  *  *  *  * 30  * | 0  0 0  0  0  0  0  1  0 0  1  0 1 | 0 0  1  0 1 1
.. .. .x3.x    |  0   6 |  0  0  0   0  0  0  3  3 |  *  *  *  *  *  *  *  *  *  *  *  *  * 20 | 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 | 5  * *  *  *  *  *  *  * *  *  * * | 1 1  0  0 0 0
o.3x. .. x.      6   0 |  6  0  3   0  0  0  0  0 |  2  0  3  0  0  0  0  0  0  0  0  0  0  0 | * 10 *  *  *  *  *  *  * *  *  * * | 1 0  1  0 0 0
.. x.3x.3x.     24   0 | 12 12 12   0  0  0  0  0 |  0  4  6  4  0  0  0  0  0  0  0  0  0  0 | *  * 5  *  *  *  *  *  * *  *  * * | 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 | *  * * 20  *  *  *  *  * *  *  * * | 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 | *  * *  * 30  *  *  *  * *  *  * * | 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 | *  * *  *  * 30  *  *  * *  *  * * | 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 | *  * *  *  *  * 20  *  * *  *  * * | 0 1  0  0 1 0
.. xx .. xx&#x   4   4 |  2  0  2   4  0  2  0  2 |  0  0  1  0  0  2  0  2  0  0  0  0  1  0 | *  * *  *  *  *  * 30  * *  *  * * | 0 0  1  0 1 0
.. .. xx3xx&#x   6   6 |  0  3  3   6  0  0  3  3 |  0  0  0  1  0  0  3  3  0  0  0  0  0  1 | *  * *  *  *  *  *  * 20 *  *  * * | 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 | *  * *  *  *  *  *  *  * 5  *  * * | 0 1  0  0 0 1
.x3.x .. .x      0  12 |  0  0  0   0  6  6  0  6 |  0  0  0  0  0  0  0  0  2  0  3  0  3  0 | *  * *  *  *  *  *  *  * * 10  * * | 0 0  1  0 0 1
.x .. .x3.x      0  12 |  0  0  0   0  6  0  6  6 |  0  0  0  0  0  0  0  0  0  3  3  0  0  2 | *  * *  *  *  *  *  *  * *  * 10 * | 0 0  0  1 0 1
.. .x3.x3.x      0  24 |  0  0  0   0  0 12 12 12 |  0  0  0  0  0  0  0  0  0  0  0  4  6  4 | *  * *  *  *  *  *  *  * *  *  * 5 | 0 0  0  0 1 1
---------------+--------+--------------------------+-------------------------------------------+------------------------------------+--------------
o.3x.3x.3x.     60   0 | 60 30 30   0  0  0  0  0 | 20 20 30 10  0  0  0  0  0  0  0  0  0  0 | 5 10 5  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 | * 5  *  * * *
ox3xx .. xx&#x   6  12 |  6  0  3  12  6  6  0  6 |  2  0  3  0  6  6  0  6  2  0  3  0  3  0 | 0  1 0  2  0  3  0  3  0 0  1  0 0 | * * 10  * * *
ox .. xx3xx&#x   6  12 |  0  3  3  12  6  0  6  6 |  0  0  0  1  6  0  6  6  0  3  3  0  0  2 | 0  0 0  0  3  3  0  0  2 0  0  1 0 | * *  * 10 * *
.. xx3xx3xx&#x  24  24 | 12 12 12  24  0 12 12 12 |  0  4  6  4  0 12 12 12  0  0  0  4  6  4 | 0  0 1  0  0  0  4  6  4 0  0  0 1 | * *  *  * 5 *
.x3.x3.x3.x      0 120 |  0  0  0   0 60 60 60 60 |  0  0  0  0  0  0  0  0 20 30 30 20 30 20 | 0  0 0  0  0  0  0  0  0 5 10 10 5 | * *  *  * * 1

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