Acronym qridaquit gissidu
Name expanded axially-great-icosahedral ursachoron,
(qrid,quit gissid)-based ursulate
Circumradius sqrt[(15+11 sqrt(5))/38] = 1.020794
Face vector 180, 450, 346, 76
Confer
general polytopal classes:
ursatopes  

Incidence matrix according to Dynkin symbol

ofx3xoo5/3xxx&#xt   → height(1,2) = sqrt[(7 sqrt(5)-13)/8] = 0.575812
                      height(2,3) = sqrt[2 sqrt(5)-1]/2 = 0.931683
(quit gissid || (f,x)-qrid || qrid)

o..3o..5/2o..     | 60  *  * |  2  1   2  0  0  0  0 |  1  2  1  2  2  0  0  0  0  0 | 1  1  1  2  0 0
.o.3.o.5/2.o.     |  * 60  * |  0  0   2  2  1  0  0 |  0  0  2  1  2  1  2  0  0  0 | 0  1  2  1  1 0
..o3..o5/2..o     |  *  * 60 |  0  0   0  0  1  2  2 |  0  0  2  0  0  0  2  1  2  1 | 0  1  2  0  1 1
------------------+----------+-----------------------+-------------------------------+----------------
... x..   ...     |  2  0  0 | 60  *   *  *  *  *  * |  1  1  0  1  0  0  0  0  0  0 | 1  1  0  1  0 0
... ...   x..     |  2  0  0 |  * 30   *  *  *  *  * |  0  2  0  0  2  0  0  0  0  0 | 1  0  1  2  0 0
oo.3oo.5/3oo.&#x  |  1  1  0 |  *  * 120  *  *  *  * |  0  0  1  1  1  0  0  0  0  0 | 0  1  1  1  0 0
... ...   .x.     |  0  2  0 |  *  *   * 60  *  *  * |  0  0  0  0  1  1  1  0  0  0 | 0  0  1  1  1 0
.oo3.oo5/3.oo&#x  |  0  1  1 |  *  *   *  * 60  *  * |  0  0  2  0  0  0  2  0  0  0 | 0  1  2  0  1 0
..x ...   ...     |  0  0  2 |  *  *   *  *  * 60  * |  0  0  1  0  0  0  0  1  1  0 | 0  1  1  0  0 1
... ...   ..x     |  0  0  2 |  *  *   *  *  *  * 60 |  0  0  0  0  0  0  1  0  1  1 | 0  0  1  0  1 1
------------------+----------+-----------------------+-------------------------------+----------------
o..3x..   ...     |  3  0  0 |  3  0   0  0  0  0  0 | 20  *  *  *  *  *  *  *  *  * | 1  1  0  0  0 0
... x..5/3x..     | 10  0  0 |  5  5   0  0  0  0  0 |  * 12  *  *  *  *  *  *  *  * | 1  0  0  1  0 0  {10/3}
ofx ...   ...&#xt |  1  2  2 |  0  0   2  0  2  1  0 |  *  * 60  *  *  *  *  *  *  * | 0  1  1  0  0 0  {5}
... xo.   ...&#x  |  2  1  0 |  1  0   2  0  0  0  0 |  *  *  * 60  *  *  *  *  *  * | 0  1  0  1  0 0
... ...   xx.&#x  |  2  2  0 |  0  1   2  1  0  0  0 |  *  *  *  * 60  *  *  *  *  * | 0  0  1  1  0 0
... .o.5/3.x.     |  0  5  0 |  0  0   0  5  0  0  0 |  *  *  *  *  * 12  *  *  *  * | 0  0  0  1  1 0  {5/2}
... ...   .xx&#x  |  0  2  2 |  0  0   0  1  2  0  1 |  *  *  *  *  *  * 60  *  *  * | 0  0  1  0  1 0
..x3..o   ...     |  0  0  3 |  0  0   0  0  0  3  0 |  *  *  *  *  *  *  * 20  *  * | 0  1  0  0  0 1
..x ...   ..x     |  0  0  4 |  0  0   0  0  0  2  2 |  *  *  *  *  *  *  *  * 30  * | 0  0  1  0  0 1
... ..o5/3..x     |  0  0  5 |  0  0   0  0  0  0  5 |  *  *  *  *  *  *  *  *  * 12 | 0  0  0  0  1 1  {5/2}
------------------+----------+-----------------------+-------------------------------+----------------
o..3x..5/3x..      60  0  0 | 60 30   0  0  0  0  0 | 20 12  0  0  0  0  0  0  0  0 | 1  *  *  *  * *
ofx3xoo   ...&#xt   3  3  3 |  3  0   6  0  3  3  0 |  1  0  3  3  0  0  0  1  0  0 | * 20  *  *  * *
ofx ...   xxx&#xt   2  4  4 |  0  1   4  2  4  2  2 |  0  0  2  0  2  0  2  0  1  0 | *  * 30  *  * *
... xo.5/3xx.&#x   10  5  0 |  5  5  10  5  0  0  0 |  0  1  0  5  5  1  0  0  0  0 | *  *  * 12  * *
... .oo5/3.xx&#x    0  5  5 |  0  0   0  5  5  0  5 |  0  0  0  0  0  1  5  0  0  1 | *  *  *  * 12 *
..x3..o5/3..x       0  0 60 |  0  0   0  0  0 60 60 |  0  0  0  0  0  0  0 20 30 12 | *  *  *  *  * 1

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