Acronym ritathexu
Name rit-based ursateron
Circumradius sqrt[(10+5 sqrt(5))/8] = 1.627127
Face vector 112, 392, 456, 208, 34
Confer
general polytopal classes:
ursatopes  

Incidence matrix according to Dynkin symbol

ofx3xoo3ooo *b3xxx&#xt   → height(1,2) = sqrt[sqrt(5)-1]/2 = 0.555893
                           height(2,3) = sqrt[1+sqrt(5)]/2 = 0.899454
(thex || (f,x)-rit || rit)

o..3o..3o..    o..     | 48  *  * |  4  1  2  0  0  0  0 |  2  2  4  1  4  2  0  0  0  0  0 | 1 2 2  2  1  2  4 0  0 0 0 0 | 1 1 2 2 0 0
.o.3.o.3.o.    .o.     |  * 32  * |  0  0  3  3  1  0  0 |  0  0  0  3  3  3  3  3  0  0  0 | 0 0 0  3  3  1  3 1  3 0 0 0 | 0 1 3 1 1 0
..o3..o3..o    ..o     |  *  * 32 |  0  0  0  0  1  3  3 |  0  0  0  3  0  0  0  3  3  3  3 | 0 0 0  3  3  0  0 0  3 1 3 1 | 0 1 3 0 1 1
-----------------------+----------+----------------------+----------------------------------+------------------------------+------------
... x.. ...    ...     |  2  0  0 | 96  *  *  *  *  *  * |  1  1  1  0  1  0  0  0  0  0  0 | 1 1 1  1  0  1  1 0  0 0 0 0 | 1 1 1 1 0 0
... ... ...    x..     |  2  0  0 |  * 24  *  *  *  *  * |  0  0  4  0  0  2  0  0  0  0  0 | 0 2 2  0  1  0  4 0  0 0 0 0 | 1 0 2 2 0 0
oo.3oo.3oo. *b3oo.&#x  |  1  1  0 |  *  * 96  *  *  *  * |  0  0  0  1  2  1  0  0  0  0  0 | 0 0 0  2  1  1  2 0  0 0 0 0 | 0 1 2 1 0 0
... ... ...    .x.     |  0  2  0 |  *  *  * 48  *  *  * |  0  0  0  0  0  1  2  1  0  0  0 | 0 0 0  0  1  0  2 1  2 0 0 0 | 0 0 2 1 1 0
.oo3.oo3.oo *b3.oo&#x  |  0  1  1 |  *  *  *  * 32  *  * |  0  0  0  3  0  0  0  3  0  0  0 | 0 0 0  3  3  0  0 0  3 0 0 0 | 0 1 3 0 1 0
..x ... ...    ...     |  0  0  2 |  *  *  *  *  * 48  * |  0  0  0  1  0  0  0  0  2  1  0 | 0 0 0  2  1  0  0 0  0 1 2 0 | 0 1 2 0 0 1
... ... ...    ..x     |  0  0  2 |  *  *  *  *  *  * 48 |  0  0  0  0  0  0  0  1  0  1  2 | 0 0 0  0  1  0  0 0  2 0 2 1 | 0 0 2 0 1 1
-----------------------+----------+----------------------+----------------------------------+------------------------------+------------
o..3x.. ...    ...     |  3  0  0 |  3  0  0  0  0  0  0 | 32  *  *  *  *  *  *  *  *  *  * | 1 1 0  1  0  0  0 0  0 0 0 0 | 1 1 1 0 0 0
... x..3o..    ...     |  3  0  0 |  3  0  0  0  0  0  0 |  * 32  *  *  *  *  *  *  *  *  * | 1 0 1  0  0  1  0 0  0 0 0 0 | 1 1 0 1 0 0
... x.. ... *b3x..     |  6  0  0 |  3  3  0  0  0  0  0 |  *  * 32  *  *  *  *  *  *  *  * | 0 1 1  0  0  0  1 0  0 0 0 0 | 1 0 1 1 0 0
ofx ... ...    ...&#xt |  1  2  2 |  0  0  2  0  2  1  0 |  *  *  * 48  *  *  *  *  *  *  * | 0 0 0  2  1  0  0 0  0 0 0 0 | 0 1 2 0 0 0
... xo. ...    ...&#x  |  2  1  0 |  1  0  2  0  0  0  0 |  *  *  *  * 96  *  *  *  *  *  * | 0 0 0  1  0  1  1 0  0 0 0 0 | 0 1 1 1 0 0
... ... ...    xx.&#x  |  2  2  0 |  0  1  2  1  0  0  0 |  *  *  *  *  * 48  *  *  *  *  * | 0 0 0  0  1  0  2 0  0 0 0 0 | 0 0 2 1 0 0
... .o. ... *b3.x.     |  0  3  0 |  0  0  0  3  0  0  0 |  *  *  *  *  *  * 32  *  *  *  * | 0 0 0  0  0  0  1 1  1 0 0 0 | 0 0 1 1 1 0
... ... ...    .xx&#x  |  0  2  2 |  0  0  0  1  2  0  1 |  *  *  *  *  *  *  * 48  *  *  * | 0 0 0  0  1  0  0 0  2 0 0 0 | 0 0 2 0 1 0
..x3..o ...    ...     |  0  0  3 |  0  0  0  0  0  3  0 |  *  *  *  *  *  *  *  * 32  *  * | 0 0 0  1  0  0  0 0  0 1 1 0 | 0 1 1 0 0 1
..x ... ...    ..x     |  0  0  4 |  0  0  0  0  0  2  2 |  *  *  *  *  *  *  *  *  * 24  * | 0 0 0  0  1  0  0 0  0 0 2 0 | 0 0 2 0 0 1
... ..o ... *b3..x     |  0  0  3 |  0  0  0  0  0  0  3 |  *  *  *  *  *  *  *  *  *  * 32 | 0 0 0  0  0  0  0 0  1 0 1 1 | 0 0 1 0 1 1
-----------------------+----------+----------------------+----------------------------------+------------------------------+------------
o..3x..3o..    ...       6  0  0 | 12  0  0  0  0  0  0 |  4  4  0  0  0  0  0  0  0  0  0 | 8 * *  *  *  *  * *  * * * * | 1 1 0 0 0 0
o..3x.. ... *b3x..      12  0  0 | 12  6  0  0  0  0  0 |  4  0  4  0  0  0  0  0  0  0  0 | * 8 *  *  *  *  * *  * * * * | 1 0 1 0 0 0
... x..3o.. *b3x..      12  0  0 | 12  6  0  0  0  0  0 |  0  4  4  0  0  0  0  0  0  0  0 | * * 8  *  *  *  * *  * * * * | 1 0 0 1 0 0
ofx3xoo ...    ...&#xt   3  3  3 |  3  0  6  0  3  3  0 |  1  0  0  3  3  0  0  0  1  0  0 | * * * 32  *  *  * *  * * * * | 0 1 1 0 0 0
ofx ... ...    xxx&#xt   2  4  4 |  0  1  4  2  4  2  2 |  0  0  0  2  0  2  0  2  0  1  0 | * * *  * 24  *  * *  * * * * | 0 0 2 0 0 0
... xo.3oo.    ...&#x    3  1  0 |  3  0  3  0  0  0  0 |  0  1  0  0  3  0  0  0  0  0  0 | * * *  *  * 32  * *  * * * * | 0 1 0 1 0 0
... xo. ... *b3xx.&#x    6  3  0 |  3  3  6  3  0  0  0 |  0  0  1  0  3  3  1  0  0  0  0 | * * *  *  *  * 32 *  * * * * | 0 0 1 1 0 0
... .o.3.o. *b3.x.       0  4  0 |  0  0  0  6  0  0  0 |  0  0  0  0  0  0  4  0  0  0  0 | * * *  *  *  *  * 8  * * * * | 0 0 0 1 1 0
... .oo ... *b3.xx&#x    0  3  3 |  0  0  0  3  3  0  3 |  0  0  0  0  0  0  1  3  0  0  1 | * * *  *  *  *  * * 32 * * * | 0 0 1 0 1 0
..x3..o3..o    ...       0  0  4 |  0  0  0  0  0  6  0 |  0  0  0  0  0  0  0  0  4  0  0 | * * *  *  *  *  * *  * 8 * * | 0 1 0 0 0 1
..x3..o ... *b3..x       0  0 12 |  0  0  0  0  0 12 12 |  0  0  0  0  0  0  0  0  4  6  4 | * * *  *  *  *  * *  * * 8 * | 0 0 1 0 0 1
... ..o3..o *b3..x       0  0  4 |  0  0  0  0  0  0  6 |  0  0  0  0  0  0  0  0  0  0  4 | * * *  *  *  *  * *  * * * 8 | 0 0 0 0 1 1
-----------------------+----------+----------------------+----------------------------------+------------------------------+------------
o..3x..3o.. *b3x..      48  0  0 | 96 24  0  0  0  0  0 | 32 32 32  0  0  0  0  0  0  0  0 | 8 8 8  0  0  0  0 0  0 0 0 0 | 1 * * * * *
ofx3xoo3ooo    ...&#xt   6  4  4 | 12  0 12  0  4  6  0 |  4  4  0  6 12  0  0  0  4  0  0 | 1 0 0  4  0  4  0 0  0 1 0 0 | * 8 * * * *
ofx3xoo ... *b3xxx&#xt  12 12 12 | 12  6 24 12 12 12 12 |  4  0  4 12 12 12  4 12  4  6  4 | 0 1 0  4  6  0  4 0  4 0 1 0 | * * 8 * * *
... xo.3oo. *b3xx.&#x   12  4  0 | 12  6 12  6  0  0  0 |  0  4  4  0 12  6  4  0  0  0  0 | 0 0 1  0  0  4  4 1  0 0 0 0 | * * * 8 * *
... .oo3.oo *b3.xx&#x    0  4  4 |  0  0  0  6  4  0  6 |  0  0  0  0  0  0  4  6  0  0  4 | 0 0 0  0  0  0  0 1  4 0 0 1 | * * * * 8 *
..x3..o3..o *b3..x       0  0 32 |  0  0  0  0  0 48 48 |  0  0  0  0  0  0  0  0 32 24 32 | 0 0 0  0  0  0  0 0  0 8 8 8 | * * * * * 1

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