Acronym hinu
Name hin-based ursapeton
Circumradius sqrt[(29+10 sqrt(5))/31] = 1.287166
Face vector 112, 736, 1360, 1040, 348, 44
Confer
general polytopal classes:
ursatopes  

Incidence matrix according to Dynkin symbol

ofx3xoo3ooo *b3ooo3ooo&#xt   → height(1,2) = sqrt[7 sqrt(5)-11]/4 = 0.539240
                               height(2,3) = sqrt[5+sqrt(5)]/4 = 0.872509
(nit || f-hin || hin)

o..3o..3o.. *b3o..3o..     | 80  *  * |  12   2  0  0 |   6   6  12  1  12   0 |  3  6  6  4   6   6  12  0  0 |  3  2  2  3  6  6  4  0  0 | 1  3  2  2 0
.o.3.o.3.o. *b3.o.3.o.     |  * 16  * |   0  10  1  0 |   0   0   0 10  30   0 |  0  0  0  0  30  10  20  0  0 |  0  0  0 10 20  5  5  0  0 | 0  5  5  1 0
..o3..o3..o *b3..o3..o     |  *  * 16 |   0   0  1 10 |   0   0   0 10   0  30 |  0  0  0  0  30   0   0 10 20 |  0  0  0 10 20  0  0  5  5 | 0  5  5  0 1
---------------------------+----------+---------------+------------------------+-------------------------------+----------------------------+-------------
... x.. ...    ... ...     |  2  0  0 | 480   *  *  * |   1   1   2  0   1   0 |  1  2  2  1   1   1   2  0  0 |  2  1  1  1  2  2  1  0  0 | 1  2  1  1 0
oo.3oo.3oo. *b3oo.3oo.&#x  |  1  1  0 |   * 160  *  * |   0   0   0  1   6   0 |  0  0  0  0   6   3   6  0  0 |  0  0  0  3  6  3  2  0  0 | 0  3  2  1 0
.oo3.oo3.oo *b3.oo3.oo&#x  |  0  1  1 |   *   * 16  *    0   0   0 10   0   0 |  0  0  0  0  30   0   0  0  0 |  0  0  0 10 20  0  0  0  0 | 0  5  5  0 0
..x ... ...    ... ...     |  0  0  2 |   *   *  * 80 |   0   0   0  1   0   6 |  0  0  0  0   6   0   0  3  6 |  0  0  0  3  6  0  0  3  2 | 0  3  2  0 1
---------------------------+----------+---------------+------------------------+-------------------------------+----------------------------+-------------
o..3x.. ...    ... ...     |  3  0  0 |   3   0  0  0 | 160   *   *  *   *   * |  1  2  0  0   1   0   0  0  0 |  2  1  0  1  2  0  0  0  0 | 1  2  1  0 0
... x..3o..    ... ...     |  3  0  0 |   3   0  0  0 |   * 160   *  *   *   * |  1  0  2  0   0   1   0  0  0 |  2  0  1  1  0  2  0  0  0 | 1  2  0  1 0
... x.. ... *b3o.. ...     |  3  0  0 |   3   0  0  0 |   *   * 320  *   *   * |  0  1  1  1   0   0   1  0  0 |  1  1  1  0  1  1  1  0  0 | 1  1  1  1 0
ofx ... ...    ... ...&#xt |  1  2  2 |   0   2  2  1 |   *   *   * 80   *   *   0  0  0  0   6   0   0  0  0 |  0  0  0  3  6  0  0  0  0 | 0  3  2  0 0
... xo. ...    ... ...&#x  |  2  1  0 |   1   2  0  0 |   *   *   *  * 480   * |  0  0  0  0   1   1   2  0  0 |  0  0  0  1  2  2  1  0  0 | 0  2  1  1 0
..x3..o ...    ... ...     |  0  0  3 |   0   0  0  3 |   *   *   *  *   * 160 |  0  0  0  0   1   0   0  1  2 |  0  0  0  1  2  0  0  2  1 | 0  2  1  0 1
---------------------------+----------+---------------+------------------------+-------------------------------+----------------------------+-------------
o..3x..3o..    ... ...       6  0  0 |  12   0  0  0 |   4   4   0  0   0   0 | 40  *  *  *   *   *   *  *  * |  2  0  0  1  0  0  0  0  0 | 1  2  0  0 0
o..3x.. ... *b3o.. ...       6  0  0 |  12   0  0  0 |   4   0   4  0   0   0 |  * 80  *  *   *   *   *  *  * |  1  1  0  0  1  0  0  0  0 | 1  1  1  0 0
... x..3o.. *b3o.. ...       6  0  0 |  12   0  0  0 |   0   4   4  0   0   0 |  *  * 80  *   *   *   *  *  * |  1  0  1  0  0  1  0  0  0 | 1  1  0  1 0
... x.. ... *b3o..3o..       4  0  0 |   6   0  0  0 |   0   0   4  0   0   0 |  *  *  * 80   *   *   *  *  * |  0  1  1  0  0  0  1  0  0 | 1  0  1  1 0
ofx3xoo ...    ... ...&#xt   3  3  3 |   3   6  3  3 |   1   0   0  3   3   1 |  *  *  *  * 160   *   *  *  * |  0  0  0  1  2  0  0  0  0 | 0  2  1  0 0
... xo.3oo.    ... ...&#x    3  1  0 |   3   3  0  0 |   0   1   0  0   3   0 |  *  *  *  *   * 160   *  *  * |  0  0  0  1  0  2  0  0  0 | 0  2  0  1 0
... xo. ... *b3oo. ...&#x    3  1  0 |   3   3  0  0 |   0   0   1  0   3   0 |  *  *  *  *   *   * 320  *  * |  0  0  0  0  1  1  1  0  0 | 0  1  1  1 0
..x3..o3..o    ... ...       0  0  4 |   0   0  0  6 |   0   0   0  0   0   4 |  *  *  *  *   *   *   * 40  * |  0  0  0  1  0  0  0  2  0 | 0  2  0  0 1
..x3..o ... *b3..o ...       0  0  4 |   0   0  0  6 |   0   0   0  0   0   4 |  *  *  *  *   *   *   *  * 80 |  0  0  0  0  1  0  0  1  1 | 0  1  1  0 1
---------------------------+----------+---------------+------------------------+-------------------------------+----------------------------+-------------
o..3x..3o.. *b3o.. ...      24  0  0 |  96   0  0  0 |  32  32  32  0   0   0 |  8  8  8  0   0   0   0  0  0 | 10  *  *  *  *  *  *  *  * | 1  1  0  0 0
o..3x.. ... *b3o..3o..      10  0  0 |  30   0  0  0 |  10   0  20  0   0   0 |  0  5  0  5   0   0   0  0  0 |  * 16  *  *  *  *  *  *  * | 1  0  1  0 0
... x..3o.. *b3o..3o..      10  0  0 |  30   0  0  0 |   0  10  20  0   0   0 |  0  0  5  5   0   0   0  0  0 |  *  * 16  *  *  *  *  *  * | 1  0  0  1 0
ofx3xoo3ooo    ... ...&#xt   6  4  4 |  12  12  4  6 |   4   4   0  6  12   4 |  1  0  0  0   4   4   0  1  0 |  *  *  * 40  *  *  *  *  * | 0  2  0  0 0
ofx3xoo ... *b3ooo ...&#xt   6  4  4 |  12  12  4  6 |   4   0   4  6  12   4 |  0  1  0  0   4   0   4  0  1 |  *  *  *  * 80  *  *  *  * | 0  1  1  0 0
... xo.3oo. *b3oo. ...&#x    6  1  0 |  12   6  0  0 |   0   4   4  0  12   0 |  0  0  1  0   0   4   4  0  0 |  *  *  *  *  * 80  *  *  * | 0  1  0  1 0
... xo. ... *b3oo.3oo.&#x    4  1  0 |   6   4  0  0 |   0   0   4  0   6   0 |  0  0  0  1   0   0   4  0  0 |  *  *  *  *  *  * 80  *  * | 0  0  1  1 0
..x3..o3..o *b3..o ...       0  0  8 |   0   0  0 24 |   0   0   0  0   0  32 |  0  0  0  0   0   0   0  8  8 |  *  *  *  *  *  *  * 10  * | 0  1  0  0 1
..x3..o ... *b3..o3..o       0  0  5 |   0   0  0 10 |   0   0   0  0   0  10 |  0  0  0  0   0   0   0  0  5 |  *  *  *  *  *  *  *  * 16 | 0  0  1  0 1
---------------------------+----------+---------------+------------------------+-------------------------------+----------------------------+-------------
o..3x..3o.. *b3o..3o..      80  0  0 | 480   0  0  0 | 160 160 320  0   0   0 | 40 80 80 80   0   0   0  0  0 | 10 16 16  0  0  0  0  0  0 | 1  *  *  * *
ofx3xoo3ooo *b3ooo ...&#xt  24  8  8 |  96  48  8 24 |  32  32  32 24  96  32 |  8  8  8  0  32  32  32  8  8 |  1  0  0  8  8  8  0  1  0 | * 10  *  * *
ofx3xoo ... *b3ooo3ooo&#xt  10  5  5 |  30  20  5 10 |  10   0  20 10  30  10 |  0  5  0  5  10   0  20  0  5 |  0  1  0  0  5  0  5  0  1 | *  * 16  * *
... xo.3oo. *b3oo.3oo.&#x   10  1  0 |  30  10  0  0 |   0  10  20  0  30   0 |  0  0  5  5   0  10  20  0  0 |  0  0  1  0  0  5  5  0  0 | *  *  * 16 *
..x3..o3..o *b3..o3..o       0  0 16 |   0   0  0 80 |   0   0   0  0   0 160 |  0  0  0  0   0   0   0 40 80 |  0  0  0  0  0  0  0 10 16 | *  *  *  * 1

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