Acronym sripal pripu
Name (srip,inv.prip)-based ursateron
Circumradius sqrt[(131+47 sqrt(5))/88] = 1.637956
Face vector 120, 420, 480, 210, 32
Confer
general polytopal classes:
ursatopes  

Incidence matrix according to Dynkin symbol

xoo3ofx3xoo3xxx&#xt   → height(1,2) = sqrt[(2 sqrt(5)-3)/5] = 0.542611
                        height(2,3) = sqrt[(1+3 sqrt(5))/10] = 0.877964
(prip || pseudo (f,x) inv srip || inv srip)

o..3o..3o..3o..     | 60  *  * |  2  2  1   2  0  0  0  0 |  1  2  2  1  2  2  1  2  2  0  0  0  0  0  0 | 1  1  2 1  1  2  2  1  1  2  0 0  0 0 | 1 1  1  2 1 0
.o.3.o.3.o.3.o.     |  * 30  * |  0  0  0   4  2  1  0  0 |  0  0  0  0  0  2  4  2  4  1  2  0  0  0  0 | 0  0  0 0  2  1  2  2  4  2  1 0  0 0 | 0 1  2  1 2 0
..o3..o3..o3..o     |  *  * 30 |  0  0  0   0  0  1  4  2 |  0  0  0  0  0  0  4  0  0  0  2  2  2  4  1 | 0  0  0 0  2  0  0  2  4  0  1 1  2 2 | 0 1  2  0 2 1
--------------------+----------+--------------------------+----------------------------------------------+---------------------------------------+--------------
x.. ... ... ...     |  2  0  0 | 60  *  *   *  *  *  *  * |  1  1  1  0  0  1  0  0  0  0  0  0  0  0  0 | 1  1  1 0  1  1  1  0  0  0  0 0  0 0 | 1 1  1  1 0 0
... ... x.. ...     |  2  0  0 |  * 60  *   *  *  *  *  * |  0  1  0  1  1  0  0  1  0  0  0  0  0  0  0 | 1  0  1 1  0  1  0  1  0  1  0 0  0 0 | 1 1  0  1 1 0
... ... ... x..     |  2  0  0 |  *  * 30   *  *  *  *  * |  0  0  2  0  2  0  0  0  2  0  0  0  0  0  0 | 0  1  2 1  0  0  2  0  1  2  0 0  0 0 | 1 0  1  2 1 0
oo.3oo.3oo.3oo.&#x  |  1  1  0 |  *  *  * 120  *  *  *  * |  0  0  0  0  0  1  1  1  1  0  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  0 |  *  *  *   * 30  *  *  * |  0  0  0  0  0  0  0  0  2  1  1  0  0  0  0 | 0  0  0 0  0  0  1  0  2  2  1 0  0 0 | 0 0  1  1 2 0
.oo3.oo3.oo3.oo&#x  |  0  1  1 |  *  *  *   *  * 30  *  * |  0  0  0  0  0  0  4  0  0  0  2  0  0  0  0 | 0  0  0 0  2  0  0  2  4  0  1 0  0 0 | 0 1  2  0 2 0
... ..x ... ...     |  0  0  2 |  *  *  *   *  *  * 60  * |  0  0  0  0  0  0  1  0  0  0  0  1  1  1  0 | 0  0  0 0  1  0  0  1  1  0  0 1  1 1 | 0 1  1  0 1 1
... ... ... ..x     |  0  0  2 |  *  *  *   *  *  *  * 30 |  0  0  0  0  0  0  0  0  0  0  1  0  0  2  1 | 0  0  0 0  0  0  0  0  2  0  1 0  1 2 | 0 0  1  0 2 1
--------------------+----------+--------------------------+----------------------------------------------+---------------------------------------+--------------
x..3o.. ... ...     |  3  0  0 |  3  0  0   0  0  0  0  0 | 20  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  1  0 0  1  0  0  0  0  0  0 0  0 0 | 1 1  1  0 0 0
x.. ... x.. ...     |  4  0  0 |  2  2  0   0  0  0  0  0 |  * 30  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  0  1 0  0  1  0  0  0  0  0 0  0 0 | 1 1  0  1 0 0
x.. ... ... x..     |  4  0  0 |  2  0  2   0  0  0  0  0 |  *  * 30  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  1 0  0  0  1  0  0  0  0 0  0 0 | 1 0  1  1 0 0
... o..3x.. ...     |  3  0  0 |  0  3  0   0  0  0  0  0 |  *  *  * 20  *  *  *  *  *  *  *  *  *  *  * | 1  0  0 1  0  0  0  1  0  0  0 0  0 0 | 1 1  0  0 1 0
... ... x..3x..     |  6  0  0 |  0  3  3   0  0  0  0  0 |  *  *  *  * 20  *  *  *  *  *  *  *  *  *  * | 0  0  1 1  0  0  0  0  0  1  0 0  0 0 | 1 0  0  1 1 0
xo. ... ... ...&#x  |  2  1  0 |  1  0  0   2  0  0  0  0 |  *  *  *  *  * 60  *  *  *  *  *  *  *  *  * | 0  0  0 0  1  1  1  0  0  0  0 0  0 0 | 0 1  1  1 0 0
... ofx ... ...&#xt |  1  2  2 |  0  0  0   2  0  2  1  0 |  *  *  *  *  *  * 60  *  *  *  *  *  *  *  * | 0  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  0   2  0  0  0  0 |  *  *  *  *  *  *  * 60  *  *  *  *  *  *  * | 0  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  0  1   2  1  0  0  0 |  *  *  *  *  *  *  *  * 60  *  *  *  *  *  * | 0  0  0 0  0  0  1  0  1  1  0 0  0 0 | 0 0  1  1 1 0
... ... .o.3.x.     |  0  3  0 |  0  0  0   0  3  0  0  0 |  *  *  *  *  *  *  *  *  * 10  *  *  *  *  * | 0  0  0 0  0  0  0  0  0  2  1 0  0 0 | 0 0  0  1 2 0
... ... ... .xx&#x  |  0  2  2 |  0  0  0   0  1  2  0  1 |  *  *  *  *  *  *  *  *  *  * 30  *  *  *  * | 0  0  0 0  0  0  0  0  2  0  1 0  0 0 | 0 0  1  0 2 0
..o3..x ... ...     |  0  0  3 |  0  0  0   0  0  0  3  0 |  *  *  *  *  *  *  *  *  *  *  * 20  *  *  * | 0  0  0 0  1  0  0  0  0  0  0 1  1 0 | 0 1  1  0 0 1
... ..x3..o ...     |  0  0  3 |  0  0  0   0  0  0  3  0 |  *  *  *  *  *  *  *  *  *  *  *  * 20  *  * | 0  0  0 0  0  0  0  1  0  0  0 1  0 1 | 0 1  0  0 1 1
... ..x ... ..x     |  0  0  4 |  0  0  0   0  0  0  2  2 |  *  *  *  *  *  *  *  *  *  *  *  *  * 30  * | 0  0  0 0  0  0  0  0  1  0  0 0  1 1 | 0 0  1  0 1 1
... ... ..o3..x     |  0  0  3 |  0  0  0   0  0  0  0  3 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 10 | 0  0  0 0  0  0  0  0  0  0  1 0  0 2 | 0 0  0  0 2 1
--------------------+----------+--------------------------+----------------------------------------------+---------------------------------------+--------------
x..3o..3x.. ...      12  0  0 | 12 12  0   0  0  0  0  0 |  4  6  0  4  0  0  0  0  0  0  0  0  0  0  0 | 5  *  * *  *  *  *  *  *  *  * *  * * | 1 1  0  0 0 0
x..3o.. ... x..       6  0  0 |  6  0  3   0  0  0  0  0 |  2  0  3  0  0  0  0  0  0  0  0  0  0  0  0 | * 10  * *  *  *  *  *  *  *  * *  * * | 1 0  1  0 0 0
x.. ... x..3x..      12  0  0 |  6  6  6   0  0  0  0  0 |  0  3  3  0  2  0  0  0  0  0  0  0  0  0  0 | *  * 10 *  *  *  *  *  *  *  * *  * * | 1 0  0  1 0 0
... o..3x..3x..      12  0  0 |  0 12  6   0  0  0  0  0 |  0  0  0  4  4  0  0  0  0  0  0  0  0  0  0 | *  *  * 5  *  *  *  *  *  *  * *  * * | 1 0  0  0 1 0
xoo3ofx ... ...&#xt   3  3  3 |  3  0  0   6  0  3  3  0 |  1  0  0  0  0  3  3  0  0  0  0  1  0  0  0 | *  *  * * 20  *  *  *  *  *  * *  * * | 0 1  1  0 0 0
xo. ... xo. ...&#x    4  1  0 |  2  2  0   4  0  0  0  0 |  0  1  0  0  0  2  0  2  0  0  0  0  0  0  0 | *  *  * *  * 30  *  *  *  *  * *  * * | 0 1  0  1 0 0
xo. ... ... xx.&#x    4  2  0 |  2  0  2   4  1  0  0  0 |  0  0  1  0  0  2  0  0  2  0  0  0  0  0  0 | *  *  * *  *  * 30  *  *  *  * *  * * | 0 0  1  1 0 0
... ofx3xoo ...&#xt   3  3  3 |  0  3  0   6  0  3  3  0 |  0  0  0  1  0  0  3  3  0  0  0  0  1  0  0 | *  *  * *  *  *  * 20  *  *  * *  * * | 0 1  0  0 1 0
... ofx ... xxx&#xt   2  4  4 |  0  0  1   4  2  4  2  2 |  0  0  0  0  0  0  2  0  2  0  2  0  0  1  0 | *  *  * *  *  *  *  * 30  *  * *  * * | 0 0  1  0 1 0
... ... xo.3xx.&#x    6  3  0 |  0  3  3   6  3  0  0  0 |  0  0  0  0  1  0  0  3  3  1  0  0  0  0  0 | *  *  * *  *  *  *  *  * 20  * *  * * | 0 0  0  1 1 0
... ... .oo3.xx&#x    0  3  3 |  0  0  0   0  3  3  0  3 |  0  0  0  0  0  0  0  0  0  1  3  0  0  0  1 | *  *  * *  *  *  *  *  *  * 10 *  * * | 0 0  0  0 2 0
..o3..x3..o ...       0  0  6 |  0  0  0   0  0  0 12  0 |  0  0  0  0  0  0  0  0  0  0  0  4  4  0  0 | *  *  * *  *  *  *  *  *  *  * 5  * * | 0 1  0  0 0 1
..o3..x ... ..x       0  0  6 |  0  0  0   0  0  0  6  3 |  0  0  0  0  0  0  0  0  0  0  0  2  0  3  0 | *  *  * *  *  *  *  *  *  *  * * 10 * | 0 0  1  0 0 1
... ..x3..o3..x       0  0 12 |  0  0  0   0  0  0 12 12 |  0  0  0  0  0  0  0  0  0  0  0  0  4  6  4 | *  *  * *  *  *  *  *  *  *  * *  * 5 | 0 0  0  0 1 1
--------------------+----------+--------------------------+----------------------------------------------+---------------------------------------+--------------
x..3o..3x..3x..      60  0  0 | 60 60 30   0  0  0  0  0 | 20 30 30 20 20  0  0  0  0  0  0  0  0  0  0 | 5 10 10 5  0  0  0  0  0  0  0 0  0 0 | 1 *  *  * * *
xoo3ofx3xoo ...&#xt  12  6  6 | 12 12  0  24  0  6 12  0 |  4  6  0  4  0 12 12 12  0  0  0  4  4  0  0 | 1  0  0 0  4  6  0  4  0  0  0 1  0 0 | * 5  *  * * *
xoo3ofx ... xxx&#xt   6  6  6 |  6  0  3  12  3  6  6  3 |  2  0  3  0  0  6  6  0  6  0  3  2  0  3  0 | 0  1  0 0  2  0  3  0  3  0  0 0  1 0 | * * 10  * * *
xo. ... xo.3xx.&#x   12  3  0 |  6  6  6  12  3  0  0  0 |  0  3  3  0  2  6  0  6  6  1  0  0  0  0  0 | 0  0  1 0  0  3  3  0  0  2  0 0  0 0 | * *  * 10 * *
... ofx3xoo3xxx&#xt  12 12 12 |  0 12  6  24 12 12 12 12 |  0  0  0  4  4  0 12 12 12  4 12  0  4  6  4 | 0  0  0 1  0  0  0  4  6  4  4 0  0 1 | * *  *  * 5 *
..o3..x3..o3..x       0  0 30 |  0  0  0   0  0  0 60 30 |  0  0  0  0  0  0  0  0  0  0  0 20 20 30 10 | 0  0  0 0  0  0  0  0  0  0  0 5 10 5 | * *  *  * * 1

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