Acronym gripalgrip
Name grip atop inverted grip,
medial spid-first segment of spat
Circumradius sqrt(7/2) = 1.870829
Confer
uniform relative:
spat  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

ox3xx3xx3xo&#x   → height = sqrt(2/5) = 0.632456
(grip || inv grip)

o.3o.3o.3o.    | 60  * |  2  1  1   2  0  0  0 |  1  2  2  1  1  2  2  2  0  0  0  0 | 1  1 2  1  1  1  2  2  2 0  0 0 | 1 1  1  1 2 0
.o3.o3.o3.o    |  * 60 |  0  0  0   2  1  1  2 |  0  0  0  0  2  2  2  1  1  2  2  1 | 0  0 0  2  2  1  2  1  1 2  1 1 | 0 2  1  1 1 1
---------------+-------+-----------------------+-------------------------------------+---------------------------------+--------------
.. x. .. ..    |  2  0 | 60  *  *   *  *  *  * |  1  1  1  0  0  1  0  0  0  0  0  0 | 1  1 1  1  0  0  1  1  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 | 1  0 2  0  1  0  2  0  2 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  1 2  0  0  1  0  2  2 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  1  1  1  1  1  1 0  0 0 | 0 1  1  1 1 0
.x .. .. ..    |  0  2 |  *  *  *   * 30  *  * |  0  0  0  0  2  0  0  0  1  2  0  0 | 0  0 0  2  2  1  0  0  0 2  1 0 | 0 2  1  1 0 1
.. .x .. ..    |  0  2 |  *  *  *   *  * 30  * |  0  0  0  0  0  2  0  0  1  0  2  0 | 0  0 0  2  0  0  2  1  0 2  0 1 | 0 2  1  0 1 1
.. .. .x ..    |  0  2 |  *  *  *   *  *  * 60 |  0  0  0  0  0  0  1  0  0  1  1  1 | 0  0 0  0  1  0  1  0  1 1  1 1 | 0 1  0  1 1 1
---------------+-------+-----------------------+-------------------------------------+---------------------------------+--------------
o.3x. .. ..    |  3  0 |  3  0  0   0  0  0  0 | 20  *  *  *  *  *  *  *  *  *  *  * | 1  1 0  1  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 |  * 20  *  *  *  *  *  *  *  *  *  * | 1  0 1  0  0  0  1  0  0 0  0 0 | 1 1  0  0 1 0
.. x. .. x.    |  4  0 |  2  0  2   0  0  0  0 |  *  * 30  *  *  *  *  *  *  *  *  * | 0  1 1  0  0  0  0  1  0 0  0 0 | 1 0  1  0 1 0
.. .. x.3x.    |  6  0 |  0  3  3   0  0  0  0 |  *  *  * 10  *  *  *  *  *  *  *  * | 0  0 2  0  0  0  0  0  2 0  0 0 | 1 0  0  1 2 0
ox .. .. ..&#x |  1  2 |  0  0  0   2  1  0  0 |  *  *  *  * 60  *  *  *  *  *  *  * | 0  0 0  1  1  1  0  0  0 0  0 0 | 0 1  1  1 0 0
.. xx .. ..&#x |  2  2 |  1  0  0   2  0  1  0 |  *  *  *  *  * 60  *  *  *  *  *  * | 0  0 0  1  0  0  1  1  0 0  0 0 | 0 1  1  0 1 0
.. .. xx ..&#x |  2  2 |  0  1  0   2  0  0  1 |  *  *  *  *  *  * 60  *  *  *  *  * | 0  0 0  0  1  0  1  0  1 0  0 0 | 0 1  0  1 1 0
.. .. .. xo&#x |  2  1 |  0  0  1   2  0  0  0 |  *  *  *  *  *  *  * 60  *  *  *  * | 0  0 0  0  0  1  0  1  1 0  0 0 | 0 0  1  1 1 0
.x3.x .. ..    |  0  6 |  0  0  0   0  3  3  0 |  *  *  *  *  *  *  *  * 10  *  *  * | 0  0 0  2  0  0  0  0  0 2  0 0 | 0 2  1  0 0 1
.x .. .x ..    |  0  4 |  0  0  0   0  2  0  2 |  *  *  *  *  *  *  *  *  * 30  *  * | 0  0 0  0  1  0  0  0  0 1  1 0 | 0 1  0  1 0 1
.. .x3.x ..    |  0  6 |  0  0  0   0  0  3  3 |  *  *  *  *  *  *  *  *  *  * 20  * | 0  0 0  0  0  0  1  0  0 1  0 1 | 0 1  0  0 1 1
.. .. .x3.o    |  0  3 |  0  0  0   0  0  0  3 |  *  *  *  *  *  *  *  *  *  *  * 20 | 0  0 0  0  0  0  0  0  1 0  1 1 | 0 0  0  1 1 1
---------------+-------+-----------------------+-------------------------------------+---------------------------------+--------------
o.3x.3x. ..     12  0 | 12  6  0   0  0  0  0 |  4  4  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 |  2  0  3  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  4  6  4  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 |  1  0  0  0  3  3  0  0  1  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  2  0  2  0  0  1  0  0 | *  * *  * 30  *  *  *  * *  * * | 0 1  0  1 0 0
ox .. .. xo&#x   2  2 |  0  0  1   4  1  0  0 |  0  0  0  0  2  0  0  2  0  0  0  0 | *  * *  *  * 30  *  *  * *  * * | 0 0  1  1 0 0
.. xx3xx ..&#x   6  6 |  3  3  0   6  0  3  3 |  0  1  0  0  0  3  3  0  0  0  1  0 | *  * *  *  *  * 20  *  * *  * * | 0 1  0  0 1 0
.. xx .. xo&#x   4  2 |  2  0  2   4  0  1  0 |  0  0  1  0  0  2  0  2  0  0  0  0 | *  * *  *  *  *  * 30  * *  * * | 0 0  1  0 1 0
.. .. xx3xo&#x   6  3 |  0  3  3   6  0  0  3 |  0  0  0  1  0  0  3  3  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  4  6  4  0 | *  * *  *  *  *  *  *  * 5  * * | 0 1  0  0 0 1
.x .. .x3.o      0  6 |  0  0  0   0  3  0  6 |  0  0  0  0  0  0  0  0  0  3  0  2 | *  * *  *  *  *  *  *  * * 10 * | 0 0  0  1 0 1
.. .x3.x3.o      0 12 |  0  0  0   0  0  6 12 |  0  0  0  0  0  0  0  0  0  0  4  4 | *  * *  *  *  *  *  *  * *  * 5 | 0 0  0  0 1 1
---------------+-------+-----------------------+-------------------------------------+---------------------------------+--------------
o.3x.3x.3x.     60  0 | 60 30 30   0  0  0  0 | 20 20 30 10  0  0  0  0  0  0  0  0 | 5 10 5  0  0  0  0  0  0 0  0 0 | 1 *  *  * * *
ox3xx3xx ..&#x  12 24 | 12  6  0  24 12 12 12 |  4  4  0  0 12 12 12  0  4  6  4  0 | 1  0 0  4  6  0  4  0  0 1  0 0 | * 5  *  * * *
ox3xx .. xo&#x   6  6 |  6  0  3  12  3  3  0 |  2  0  3  0  6  6  0  6  1  0  0  0 | 0  1 0  2  0  3  0  3  0 0  0 0 | * * 10  * * *
ox .. xx3xo&#x   6  6 |  0  3  3  12  3  0  6 |  0  0  0  1  6  0  6  6  0  3  0  2 | 0  0 0  0  3  3  0  0  2 0  1 0 | * *  * 10 * *
.. xx3xx3xo&#x  24 12 | 12 12 12  24  0  6 12 |  0  4  6  4  0 12 12 12  0  0  4  4 | 0  0 1  0  0  0  4  6  4 0  0 1 | * *  *  * 5 *
.x3.x3.x3.o      0 60 |  0  0  0   0 30 30 60 |  0  0  0  0  0  0  0  0 10 30 20 20 | 0  0 0  0  0  0  0  0  0 5 10 5 | * *  *  * * 1

or
o.3o.3o.3o.    & | 120 |   2  1  1   2 |  1  2  2  1   3   4 |  1  1  2  3  3  1  2 | 1  3  2
-----------------+-----+---------------+---------------------+----------------------+--------
.. x. .. ..    & |   2 | 120  *  *   * |  1  1  1  0   0   1 |  1  1  1  1  1  0  1 | 1  2  1
.. .. x. ..    & |   2 |   * 60  *   * |  0  2  0  1   0   2 |  1  0  2  2  1  0  2 | 1  3  1
.. .. .. x.    & |   2 |   *  * 60   * |  0  0  2  1   2   0 |  0  1  2  2  2  1  0 | 1  2  2
oo3oo3oo3oo&#x   |   2 |   *  *  * 120 |  0  0  0  0   2   2 |  0  0  0  2  2  1  1 | 0  2  2
-----------------+-----+---------------+---------------------+----------------------+--------
o.3x. .. ..    & |   3 |   3  0  0   0 | 40  *  *  *   *   * |  1  1  0  1  0  0  0 | 1  1  1
.. x.3x. ..    & |   6 |   3  3  0   0 |  * 40  *  *   *   * |  1  0  1  0  0  0  1 | 1  2  0
.. x. .. x.    & |   4 |   2  0  2   0 |  *  * 60  *   *   * |  0  1  1  0  1  0  0 | 1  1  1
.. .. x.3x.    & |   6 |   0  3  3   0 |  *  *  * 20   *   * |  0  0  2  2  0  0  0 | 1  2  1
ox .. .. ..&#x   |   3 |   0  0  1   2 |  *  *  *  * 120   * |  0  0  0  1  1  1  0 | 0  1  2
.. xx .. ..&#x   |   4 |   1  1  0   2 |  *  *  *  *   * 120 |  0  0  0  1  1  0  1 | 0  2  1
-----------------+-----+---------------+---------------------+----------------------+--------
o.3x.3x. ..    &   12 |  12  6  0   0 |  4  4  0  0   0   0 | 10  *  *  *  *  *  * | 1  1  0
o.3x. .. x.    &    6 |   6  0  3   0 |  2  0  3  0   0   0 |  * 20  *  *  *  *  * | 1  0  1
.. x.3x.3x.    &   24 |  12 12 12   0 |  0  4  6  4   0   0 |  *  * 10  *  *  *  * | 1  1  0
ox3xx .. ..&#x &    9 |   3  3  3   6 |  1  0  0  1   3   3 |  *  *  * 40  *  *  * | 0  1  1
ox .. xx ..&#x &    6 |   2  1  2   4 |  0  0  1  0   2   2 |  *  *  *  * 60  *  * | 0  1  1
ox .. .. xo&#x      4 |   0  0  2   4 |  0  0  0  0   4   0 |  *  *  *  *  * 30  * | 0  0  2
.. xx3xx ..&#x     12 |   6  6  0   6 |  0  2  0  0   0   6 |  *  *  *  *  *  * 20 | 0  2  0
-----------------+-----+---------------+---------------------+----------------------+--------
o.3x.3x.3x.    &   60 |  60 30 30   0 | 20 20 30 10   0   0 |  5 10  5  0  0  0  0 | 2  *  *
ox3xx3xx ..&#x &   36 |  24 18 12  24 |  4  8  6  4  12  24 |  1  0  1  4  6  0  4 | * 10  *
ox3xx .. xo&#x &   12 |   6  3  6  12 |  2  0  3  1  12   6 |  0  1  0  2  3  3  0 | *  * 20

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