Acronym pripal gripu
Name (prip,grip)-based ursateron
Circumradius sqrt[(17 sqrt(5)-9)/8] = 1.904375
Face vector 180, 540, 570, 245, 37
Confer
general polytopal classes:
ursatopes  

Incidence matrix according to Dynkin symbol

ofx3xoo3xxx3xxx&#xt   → height = height(1,2) = sqrt[(1+sqrt(5))/10] = 0.568864
                        height(2,3) = sqrt[(2+sqrt(5))/5] = 0.920442
(grip || pseudo inv. (f,x,x)-prip || inv. prip)

o..3o..3o..3o..     | 60  *  * |  2  1  1   2  0  0  0  0  0  0 |  1  2  2  1  1  2  2  2  0  0  0  0  0  0  0  0  0 | 1  1 2  1  1  1  2  2  2 0  0  0 0  0  0 0 | 1 1  1  1 2 0 0
.o.3.o.3.o.3.o.     |  * 60  * |  0  0  0   2  2  1  1  0  0  0 |  0  0  0  0  2  1  2  2  1  2  2  1  0  0  0  0  0 | 0  0 0  1  2  2  1  1  2 1  1  2 0  0  0 0 | 0 1  1  2 1 1 0
..o3..o3..o3..o     |  *  * 60 |  0  0  0   0  0  0  1  2  2  1 |  0  0  0  0  2  0  0  0  0  0  2  1  1  2  2  1  2 | 0  0 0  1  2  2  0  0  0 0  1  2 1  1  2 1 | 0 1  1  2 0 1 1
--------------------+----------+--------------------------------+----------------------------------------------------+--------------------------------------------+----------------
... x.. ... ...     |  2  0  0 | 60  *  *   *  *  *  *  *  *  * |  1  1  1  0  0  1  0  0  0  0  0  0  0  0  0  0  0 | 1  1 1  1  0  0  1  1  0 0  0  0 0  0  0 0 | 1 1  1  0 1 0 0
... ... x.. ...     |  2  0  0 |  * 30  *   *  *  *  *  *  *  * |  0  2  0  1  0  0  2  0  0  0  0  0  0  0  0  0  0 | 1  0 2  0  1  0  2  0  2 0  0  0 0  0  0 0 | 1 1  0  1 2 0 0
... ... ... x..     |  2  0  0 |  *  * 30   *  *  *  *  *  *  * |  0  0  2  1  0  0  0  2  0  0  0  0  0  0  0  0  0 | 0  1 2  0  0  1  0  2  2 0  0  0 0  0  0 0 | 1 0  1  1 2 0 0
oo.3oo.3oo.3oo.&#x  |  1  1  0 |  *  *  * 120  *  *  *  *  *  * |  0  0  0  0  1  1  1  1  0  0  0  0  0  0  0  0  0 | 0  0 0  1  1  1  1  1  1 0  0  0 0  0  0 0 | 0 1  1  1 1 0 0
... ... .x. ...     |  0  2  0 |  *  *  *   * 60  *  *  *  *  * |  0  0  0  0  0  0  1  0  1  1  1  0  0  0  0  0  0 | 0  0 0  0  1  0  1  0  1 1  1  1 0  0  0 0 | 0 1  0  1 1 1 0
... ... ... .x.     |  0  2  0 |  *  *  *   *  * 30  *  *  *  * |  0  0  0  0  0  0  0  2  0  2  0  1  0  0  0  0  0 | 0  0 0  0  0  2  0  1  2 1  0  2 0  0  0 0 | 0 0  1  2 1 1 0
.oo3.oo3.oo3.oo&#x  |  0  1  1 |  *  *  *   *  *  * 60  *  *  * |  0  0  0  0  2  0  0  0  0  0  2  1  0  0  0  0  0 | 0  0 0  1  2  2  0  0  0 0  1  2 0  0  0 0 | 0 1  1  2 0 1 0
..x ... ... ...     |  0  0  2 |  *  *  *   *  *  *  * 60  *  * |  0  0  0  0  1  0  0  0  0  0  0  0  1  1  1  0  0 | 0  0 0  1  1  1  0  0  0 0  0  0 1  1  1 0 | 0 1  1  1 0 0 1
... ... ..x ...     |  0  0  2 |  *  *  *   *  *  *  *  * 60  * |  0  0  0  0  0  0  0  0  0  0  1  0  0  1  0  1  1 | 0  0 0  0  1  0  0  0  0 0  1  1 1  0  1 1 | 0 1  0  1 0 1 1
... ... ... ..x     |  0  0  2 |  *  *  *   *  *  *  *  *  * 30 |  0  0  0  0  0  0  0  0  0  0  0  1  0  0  2  0  2 | 0  0 0  0  0  2  0  0  0 0  0  2 0  1  2 1 | 0 0  1  2 0 1 1
--------------------+----------+--------------------------------+----------------------------------------------------+--------------------------------------------+----------------
o..3x.. ... ...     |  3  0  0 |  3  0  0   0  0  0  0  0  0  0 | 20  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  1 0  1  0  0  0  0  0 0  0  0 0  0  0 0 | 1 1  1  0 0 0 0
... x..3x.. ...     |  6  0  0 |  3  3  0   0  0  0  0  0  0  0 |  * 20  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  0 1  0  0  0  1  0  0 0  0  0 0  0  0 0 | 1 1  0  0 1 0 0
... x.. ... x..     |  4  0  0 |  2  0  2   0  0  0  0  0  0  0 |  *  * 30  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  1 1  0  0  0  0  1  0 0  0  0 0  0  0 0 | 1 0  1  0 1 0 0
... ... x..3x..     |  6  0  0 |  0  3  3   0  0  0  0  0  0  0 |  *  *  * 10  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0 2  0  0  0  0  0  2 0  0  0 0  0  0 0 | 1 0  0  1 2 0 0
ofx ... ... ...&#xt |  1  2  2 |  0  0  0   2  0  0  2  1  0  0 |  *  *  *  * 60  *  *  *  *  *  *  *  *  *  *  *  * | 0  0 0  1  1  1  0  0  0 0  0  0 0  0  0 0 | 0 1  1  1 0 0 0
... xo. ... ...&#x  |  2  1  0 |  1  0  0   2  0  0  0  0  0  0 |  *  *  *  *  * 60  *  *  *  *  *  *  *  *  *  *  * | 0  0 0  1  0  0  1  1  0 0  0  0 0  0  0 0 | 0 1  1  0 1 0 0
... ... xx. ...&#x  |  2  2  0 |  0  1  0   2  1  0  0  0  0  0 |  *  *  *  *  *  * 60  *  *  *  *  *  *  *  *  *  * | 0  0 0  0  1  0  1  0  1 0  0  0 0  0  0 0 | 0 1  0  1 1 0 0
... ... ... xx.&#x  |  2  2  0 |  0  0  1   2  0  1  0  0  0  0 |  *  *  *  *  *  *  * 60  *  *  *  *  *  *  *  *  * | 0  0 0  0  0  1  0  1  1 0  0  0 0  0  0 0 | 0 0  1  1 1 0 0
... .o.3.x. ...     |  0  3  0 |  0  0  0   0  3  0  0  0  0  0 |  *  *  *  *  *  *  *  * 20  *  *  *  *  *  *  *  * | 0  0 0  0  0  0  1  0  0 1  1  0 0  0  0 0 | 0 1  0  0 1 1 0
... ... .x.3.x.     |  0  6  0 |  0  0  0   0  3  3  0  0  0  0 |  *  *  *  *  *  *  *  *  * 20  *  *  *  *  *  *  * | 0  0 0  0  0  0  0  0  1 1  0  1 0  0  0 0 | 0 0  0  1 1 1 0
... ... .xx ...&#x  |  0  2  2 |  0  0  0   0  1  0  2  0  1  0 |  *  *  *  *  *  *  *  *  *  * 60  *  *  *  *  *  * | 0  0 0  0  1  0  0  0  0 0  1  1 0  0  0 0 | 0 1  0  1 0 1 0
... ... ... .xx&#x  |  0  2  2 |  0  0  0   0  0  1  2  0  0  1 |  *  *  *  *  *  *  *  *  *  *  * 30  *  *  *  *  * | 0  0 0  0  0  2  0  0  0 0  0  2 0  0  0 0 | 0 0  1  2 0 1 0
..x3..o ... ...     |  0  0  3 |  0  0  0   0  0  0  0  3  0  0 |  *  *  *  *  *  *  *  *  *  *  *  * 20  *  *  *  * | 0  0 0  1  0  0  0  0  0 0  0  0 1  1  0 0 | 0 1  1  0 0 0 1
..x ... ..x ...     |  0  0  4 |  0  0  0   0  0  0  0  2  2  0 |  *  *  *  *  *  *  *  *  *  *  *  *  * 30  *  *  * | 0  0 0  0  1  0  0  0  0 0  0  0 1  0  1 0 | 0 1  0  1 0 0 1
..x ... ... ..x     |  0  0  4 |  0  0  0   0  0  0  0  2  0  2 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 30  *  * | 0  0 0  0  0  1  0  0  0 0  0  0 0  1  1 0 | 0 0  1  1 0 0 1
... ..o3..x ...     |  0  0  3 |  0  0  0   0  0  0  0  0  3  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 20  * | 0  0 0  0  0  0  0  0  0 0  1  0 1  0  0 1 | 0 1  0  0 0 1 1
... ... ..x3..x     |  0  0  6 |  0  0  0   0  0  0  0  0  3  3 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 20 | 0  0 0  0  0  0  0  0  0 0  0  1 0  0  1 1 | 0 0  0  1 0 1 1
--------------------+----------+--------------------------------+----------------------------------------------------+--------------------------------------------+----------------
o..3x..3x.. ...      12  0  0 | 12  6  0   0  0  0  0  0  0  0 |  4  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 5  * *  *  *  *  *  *  * *  *  * *  *  * * | 1 1  0  0 0 0 0
o..3x.. ... x..       6  0  0 |  6  0  3   0  0  0  0  0  0  0 |  2  0  3  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | * 10 *  *  *  *  *  *  * *  *  * *  *  * * | 1 0  1  0 0 0 0
... x..3x..3x..      24  0  0 | 12 12 12   0  0  0  0  0  0  0 |  0  4  6  4  0  0  0  0  0  0  0  0  0  0  0  0  0 | *  * 5  *  *  *  *  *  * *  *  * *  *  * * | 1 0  0  0 1 0 0
ofx3xoo ... ...&#xt   3  3  3 |  3  0  0   6  0  0  3  3  0  0 |  1  0  0  0  3  3  0  0  0  0  0  0  1  0  0  0  0 | *  * * 20  *  *  *  *  * *  *  * *  *  * * | 0 1  1  0 0 0 0
ofx ... xxx ...&#xt   2  4  4 |  0  1  0   4  2  0  4  2  2  0 |  0  0  0  0  2  0  2  0  0  0  2  0  0  1  0  0  0 | *  * *  * 30  *  *  *  * *  *  * *  *  * * | 0 1  0  1 0 0 0
ofx ... ... xxx&#xt   2  4  4 |  0  0  1   4  0  2  4  2  0  2 |  0  0  0  0  2  0  0  2  0  0  0  2  0  0  1  0  0 | *  * *  *  * 30  *  *  * *  *  * *  *  * * | 0 0  1  1 0 0 0
... xo.3xx. ...&#x    6  3  0 |  3  3  0   6  3  0  0  0  0  0 |  0  1  0  0  0  3  3  0  1  0  0  0  0  0  0  0  0 | *  * *  *  *  * 20  *  * *  *  * *  *  * * | 0 1  0  0 1 0 0
... xo. ... xx.&#x    4  2  0 |  2  0  2   4  0  1  0  0  0  0 |  0  0  1  0  0  2  0  2  0  0  0  0  0  0  0  0  0 | *  * *  *  *  *  * 30  * *  *  * *  *  * * | 0 0  1  0 1 0 0
... ... xx.3xx.&#x    6  6  0 |  0  3  3   6  3  3  0  0  0  0 |  0  0  0  1  0  0  3  3  0  1  0  0  0  0  0  0  0 | *  * *  *  *  *  *  * 20 *  *  * *  *  * * | 0 0  0  1 1 0 0
... .o.3.x.3.x.       0 12  0 |  0  0  0   0 12  6  0  0  0  0 |  0  0  0  0  0  0  0  0  4  4  0  0  0  0  0  0  0 | *  * *  *  *  *  *  *  * 5  *  * *  *  * * | 0 0  0  0 1 1 0
... .oo3.xx ...&#x    0  3  3 |  0  0  0   0  3  0  3  0  3  0 |  0  0  0  0  0  0  0  0  1  0  3  0  0  0  0  1  0 | *  * *  *  *  *  *  *  * * 20  * *  *  * * | 0 1  0  0 0 1 0
... ... .xx3.xx&#x    0  6  6 |  0  0  0   0  3  3  6  0  3  3 |  0  0  0  0  0  0  0  0  0  1  3  3  0  0  0  0  1 | *  * *  *  *  *  *  *  * *  * 20 *  *  * * | 0 0  0  1 0 1 0
..x3..o3..x ...       0  0 12 |  0  0  0   0  0  0  0 12 12  0 |  0  0  0  0  0  0  0  0  0  0  0  0  4  6  0  4  0 | *  * *  *  *  *  *  *  * *  *  * 5  *  * * | 0 1  0  0 0 0 1
..x3..o ... ..x       0  0  6 |  0  0  0   0  0  0  0  6  0  3 |  0  0  0  0  0  0  0  0  0  0  0  0  2  0  3  0  0 | *  * *  *  *  *  *  *  * *  *  * * 10  * * | 0 0  1  0 0 0 1
..x ... ..x3..x       0  0 12 |  0  0  0   0  0  0  0  6  6  6 |  0  0  0  0  0  0  0  0  0  0  0  0  0  3  3  0  2 | *  * *  *  *  *  *  *  * *  *  * *  * 10 * | 0 0  0  1 0 0 1
... ..o3..x3..x       0  0 12 |  0  0  0   0  0  0  0  0 12  6 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4 | *  * *  *  *  *  *  *  * *  *  * *  *  * 5 | 0 0  0  0 0 1 1
--------------------+----------+--------------------------------+----------------------------------------------------+--------------------------------------------+----------------
o..3x..3x..3..x      60  0  0 | 60 30 30   0  0  0  0  0  0  0 | 20 20 30 10  0  0  0  0  0  0  0  0  0  0  0  0  0 | 5 10 5  0  0  0  0  0  0 0  0  0 0  0  0 0 | 1 *  *  * * * *
ofx3xoo3xxx ...&#xt  12 12 12 | 12  6  0  24 12  0 12 12 12  0 |  4  4  0  0 12 12 12  0  4  0 12  0  4  6  0  4  0 | 1  0 0  5  6  0  4  0  0 0  4  0 1  0  0 0 | * 5  *  * * * *
ofx3xoo ... xxx&#xt   6  6  6 |  6  0  3  12  0  3  6  6  0  3 |  2  0  3  0  6  6  0  6  0  0  0  3  2  0  3  0  0 | 0  1 0  2  0  3  0  3  0 0  0  0 0  1  0 0 | * * 10  * * * *
ofx ... xxx3xxx&#xt   6 12 12 |  0  3  3  12  6  6 12  6  6  6 |  0  0  0  1  6  0  6  6  0  2  6  6  0  3  3  0  2 | 0  0 0  0  3  3  0  0  2 0  0  2 0  0  1 0 | * *  * 10 * * *
... xo.3xx.3xx.&#x   24 12  0 | 12 12 12  24 12  6  0  0  0  0 |  0  4  6  4  0 12 12 12  4  4  0  0  0  0  0  0  0 | 0  0 1  0  0  0  4  6  4 1  0  0 0  0  0 0 | * *  *  * 5 * *
... .oo3.xx3.xx&#x    0 12 12 |  0  0  0   0 12  6 12  0 12  6 |  0  0  0  0  0  0  0  0  4  4 12  6  0  0  0  4  4 | 0  0 0  0  0  0  0  0  0 1  4  4 0  0  0 1 | * *  *  * * 5 *
..x3..o3..x3..x       0  0 60 |  0  0  0   0  0  0  0 60 60 30 |  0  0  0  0  0  0  0  0  0  0  0  0 20 30 30 20 20 | 0  0 0  0  0  0  0  0  0 0  0  0 5 10 10 5 | * *  *  * * * 1

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