Acronym sidtixhiu
Name sidtixhi-based ursateron
Circumradius sqrt[(25+7 sqrt(5))/40] = 1.008123
Face vector 1440, 10920, 17040, 7800, 842
Confer
general polytopal classes:
ursatopes  

Incidence matrix according to Dynkin symbol

ofx3xoo3ooo3ooo5/2*b&#xt   → height(1,2) = sqrt[(7 sqrt(5)-15)/2] = 0.571172
                             height(2,3) = sqrt[(3 sqrt(5)-5)/2] = 0.924176
(rissidtixhi || f-sidtixhi || sidtixhi)

o..3o..3o..3o..5/2*b     | 1200   *   * |   12    2   0    0 |    6    6    6    1   12    0 |   3   3   2    6    6    6   0   0 | 1   3   3   2 0
.o.3.o.3.o.3.o.5/2*b     |    * 120   * |    0   20   1    0 |    0    0    0   20   60    0 |   0   0   0   60   20   12   0   0 | 0  20  12   1 0
..o3..o3..o3..o5/2*b     |    *   * 120 |    0    0   1   20 |    0    0    0   20    0   60 |   0   0   0   60    0    0  20  12 | 0  20  12   0 1
-------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
... x.. ... ...          |    2   0   0 | 7200    *   *    * |    1    1    1    0    1    0 |   1   1   1    1    1    1   0   0 | 1   1   1   1 0
oo.3oo.3oo.3oo.5/2*b&#x  |    1   1   0 |    * 2400   *    * |    0    0    0    1    6    0 |   0   0   0    6    3    3   0   0 | 0   3   3   1 0
.oo3.oo3.oo3.oo5/2*b&#x  |    0   1   1 |    *    * 120    *     0    0    0   20    0    0 |   0   0   0   60    0    0   0   0 | 0  20  12   0 0
..x ... ... ...          |    0   0   2 |    *    *   * 1200 |    0    0    0    1    0    6 |   0   0   0    6    0    0   3   3 | 0   3   3   0 1
-------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
o..3x.. ... ...          |    3   0   0 |    3    0   0    0 | 2400    *    *    *    *    * |   1   1   0    1    0    0   0   0 | 1   1   1   0 0
... x..3o.. ...          |    3   0   0 |    3    0   0    0 |    * 2400    *    *    *    * |   1   0   1    0    1    0   0   0 | 1   1   0   1 0
... x.. ... o..5/2*b     |    5   0   0 |    5    0   0    0 |    *    * 1440    *    *    * |   0   1   1    0    0    1   0   0 | 1   0   1   1 0
ofx ... ... ...     &#xt |    1   2   2 |    0    2   2    1 |    *    *    * 1200    *    * |   0   0   0    6    0    0   0   0 | 0   3   3   0 0
... xo. ... ...     &#x  |    2   1   0 |    1    2   0    0 |    *    *    *    * 7200    * |   0   0   0    1    1    1   0   0 | 0   1   1   1 0
..x3..o ... ...          |    0   0   3 |    0    0   0    3 |    *    *    *    *    * 2400 |   0   0   0    1    0    0   1   1 | 0   1   1   0 1
-------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
o..3x..3o.. ...              6   0   0 |   12    0   0    0 |    4    4    0    0    0    0 | 600   *   *    *    *    *   *   * | 1   1   0   0 0
o..3x.. ... o..5/2*b        30   0   0 |   60    0   0    0 |   20    0   12    0    0    0 |   * 120   *    *    *    *   *   * | 1   0   1   0 0
... x..3o..3o..5/2*b        20   0   0 |   60    0   0    0 |    0   20   12    0    0    0 |   *   * 120    *    *    *   *   * | 1   0   0   1 0
ofx3xoo ... ...     &#xt     3   3   3 |    3    6   3    3 |    1    0    0    3    3    1 |   *   *   * 2400    *    *   *   * | 0   1   1   0 0
... xo.3oo. ...     &#x      3   1   0 |    3    3   0    0 |    0    1    0    0    3    0 |   *   *   *    * 2400    *   *   * | 0   1   0   1 0
... xo. ... oo.5/2*b&#x      5   1   0 |    5    5   0    0 |    0    0    1    0    5    0 |   *   *   *    *    * 1440   *   * | 0   0   1   1 0
..x3..o3..o ...              0   0   4 |    0    0   0    6 |    0    0    0    0    0    4 |   *   *   *    *    *    * 600   * | 0   1   0   0 1
..x3..o ... ..o5/2*b         0   0  12 |    0    0   0   30 |    0    0    0    0    0   20 |   *   *   *    *    *    *   * 120 | 0   0   1   0 1
-------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
o..3x..3o..3o..5/2*b      1200   0   0 | 7200    0   0    0 | 2400 2400 1440    0    0    0 | 600 120 120    0    0    0   0   0 | 1   *   *   * *
ofx3xoo3ooo ...     &#xt     6   4   4 |   12   12   4    6 |    4    4    0    6   12    4 |   1   0   0    4    4    0   1   0 | * 600   *   * *
ofx3xoo ... ooo5/2*b&#xt    30  12  12 |   60   60  12   30 |   20    0   12   30   60   20 |   0   1   0   20    0   12   0   1 | *   * 120   * *
... xo.3oo.3oo.5/2*b&#x     20   1   0 |   60   20   0    0 |    0   20   12    0   60    0 |   0   0   1    0   20   12   0   0 | *   *   * 120 *
..x3..o3..o3...5/2*b         0   0 120 |    0    0   0 1200 |    0    0    0    0    0 2400 |   0   0   0    0    0    0 600 120 | *   *   *   * 1

ofx3xoo3ooo3/2ooo5/3*b&#xt   → height(1,2) = sqrt[(7 sqrt(5)-15)/2] = 0.571172
                             height(2,3) = sqrt[(3 sqrt(5)-5)/2] = 0.924176
(rissidtixhi || f-sidtixhi || sidtixhi)

o..3o..3o..3/2o..5/3*b     | 1200   *   * |   12    2   0    0 |    6    6    6    1   12    0 |   3   3   2    6    6    6   0   0 | 1   3   3   2 0
.o.3.o.3.o.3/2.o.5/3*b     |    * 120   * |    0   20   1    0 |    0    0    0   20   60    0 |   0   0   0   60   20   12   0   0 | 0  20  12   1 0
..o3..o3..o3/2..o5/3*b     |    *   * 120 |    0    0   1   20 |    0    0    0   20    0   60 |   0   0   0   60    0    0  20  12 | 0  20  12   0 1
---------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
... x.. ...   ...          |    2   0   0 | 7200    *   *    * |    1    1    1    0    1    0 |   1   1   1    1    1    1   0   0 | 1   1   1   1 0
oo.3oo.3oo.3/2oo.5/3*b&#x  |    1   1   0 |    * 2400   *    * |    0    0    0    1    6    0 |   0   0   0    6    3    3   0   0 | 0   3   3   1 0
.oo3.oo3.oo3/2.oo5/3*b&#x  |    0   1   1 |    *    * 120    *     0    0    0   20    0    0 |   0   0   0   60    0    0   0   0 | 0  20  12   0 0
..x ... ...   ...          |    0   0   2 |    *    *   * 1200 |    0    0    0    1    0    6 |   0   0   0    6    0    0   3   3 | 0   3   3   0 1
---------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
o..3x.. ...   ...          |    3   0   0 |    3    0   0    0 | 2400    *    *    *    *    * |   1   1   0    1    0    0   0   0 | 1   1   1   0 0
... x..3o..   ...          |    3   0   0 |    3    0   0    0 |    * 2400    *    *    *    * |   1   0   1    0    1    0   0   0 | 1   1   0   1 0
... x.. ...   o..5/3*b     |    5   0   0 |    5    0   0    0 |    *    * 1440    *    *    * |   0   1   1    0    0    1   0   0 | 1   0   1   1 0
ofx ... ...   ...     &#xt |    1   2   2 |    0    2   2    1 |    *    *    * 1200    *    * |   0   0   0    6    0    0   0   0 | 0   3   3   0 0
... xo. ...   ...     &#x  |    2   1   0 |    1    2   0    0 |    *    *    *    * 7200    * |   0   0   0    1    1    1   0   0 | 0   1   1   1 0
..x3..o ...   ...          |    0   0   3 |    0    0   0    3 |    *    *    *    *    * 2400 |   0   0   0    1    0    0   1   1 | 0   1   1   0 1
---------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
o..3x..3o..   ...              6   0   0 |   12    0   0    0 |    4    4    0    0    0    0 | 600   *   *    *    *    *   *   * | 1   1   0   0 0
o..3x.. ...   o..5/3*b        30   0   0 |   60    0   0    0 |   20    0   12    0    0    0 |   * 120   *    *    *    *   *   * | 1   0   1   0 0
... x..3o..3/2o..5/3*b        20   0   0 |   60    0   0    0 |    0   20   12    0    0    0 |   *   * 120    *    *    *   *   * | 1   0   0   1 0
ofx3xoo ...   ...     &#xt     3   3   3 |    3    6   3    3 |    1    0    0    3    3    1 |   *   *   * 2400    *    *   *   * | 0   1   1   0 0
... xo.3oo.   ...     &#x      3   1   0 |    3    3   0    0 |    0    1    0    0    3    0 |   *   *   *    * 2400    *   *   * | 0   1   0   1 0
... xo. ...   oo.5/3*b&#x      5   1   0 |    5    5   0    0 |    0    0    1    0    5    0 |   *   *   *    *    * 1440   *   * | 0   0   1   1 0
..x3..o3..o   ...              0   0   4 |    0    0   0    6 |    0    0    0    0    0    4 |   *   *   *    *    *    * 600   * | 0   1   0   0 1
..x3..o ...   ..o5/3*b         0   0  12 |    0    0   0   30 |    0    0    0    0    0   20 |   *   *   *    *    *    *   * 120 | 0   0   1   0 1
---------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
o..3x..3o..3/2o..5/3*b      1200   0   0 | 7200    0   0    0 | 2400 2400 1440    0    0    0 | 600 120 120    0    0    0   0   0 | 1   *   *   * *
ofx3xoo3ooo   ...     &#xt     6   4   4 |   12   12   4    6 |    4    4    0    6   12    4 |   1   0   0    4    4    0   1   0 | * 600   *   * *
ofx3xoo ...   ooo5/3*b&#xt    30  12  12 |   60   60  12   30 |   20    0   12   30   60   20 |   0   1   0   20    0   12   0   1 | *   * 120   * *
... xo.3oo.3/2oo.5/3*b&#x     20   1   0 |   60   20   0    0 |    0   20   12    0   60    0 |   0   0   1    0   20   12   0   0 | *   *   * 120 *
..x3..o3..o3/2...5/3*b         0   0 120 |    0    0   0 1200 |    0    0    0    0    0 2400 |   0   0   0    0    0    0 600 120 | *   *   *   * 1

ofx3xoo3/2ooo3ooo5/3*b&#xt   → height(1,2) = sqrt[(7 sqrt(5)-15)/2] = 0.571172
                             height(2,3) = sqrt[(3 sqrt(5)-5)/2] = 0.924176
(rissidtixhi || f-sidtixhi || sidtixhi)

o..3o..3/2o..3o..5/3*b     | 1200   *   * |   12    2   0    0 |    6    6    6    1   12    0 |   3   3   2    6    6    6   0   0 | 1   3   3   2 0
.o.3.o.3/2.o.3.o.5/3*b     |    * 120   * |    0   20   1    0 |    0    0    0   20   60    0 |   0   0   0   60   20   12   0   0 | 0  20  12   1 0
..o3..o3/2..o3..o5/3*b     |    *   * 120 |    0    0   1   20 |    0    0    0   20    0   60 |   0   0   0   60    0    0  20  12 | 0  20  12   0 1
---------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
... x..   ... ...          |    2   0   0 | 7200    *   *    * |    1    1    1    0    1    0 |   1   1   1    1    1    1   0   0 | 1   1   1   1 0
oo.3oo.3/2oo.3oo.5/3*b&#x  |    1   1   0 |    * 2400   *    * |    0    0    0    1    6    0 |   0   0   0    6    3    3   0   0 | 0   3   3   1 0
.oo3.oo3/2.oo3.oo5/3*b&#x  |    0   1   1 |    *    * 120    *     0    0    0   20    0    0 |   0   0   0   60    0    0   0   0 | 0  20  12   0 0
..x ...   ... ...          |    0   0   2 |    *    *   * 1200 |    0    0    0    1    0    6 |   0   0   0    6    0    0   3   3 | 0   3   3   0 1
---------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
o..3x..   ... ...          |    3   0   0 |    3    0   0    0 | 2400    *    *    *    *    * |   1   1   0    1    0    0   0   0 | 1   1   1   0 0
... x..3/2o.. ...          |    3   0   0 |    3    0   0    0 |    * 2400    *    *    *    * |   1   0   1    0    1    0   0   0 | 1   1   0   1 0
... x..   ... o..5/3*b     |    5   0   0 |    5    0   0    0 |    *    * 1440    *    *    * |   0   1   1    0    0    1   0   0 | 1   0   1   1 0
ofx ...   ... ...     &#xt |    1   2   2 |    0    2   2    1 |    *    *    * 1200    *    * |   0   0   0    6    0    0   0   0 | 0   3   3   0 0
... xo.   ... ...     &#x  |    2   1   0 |    1    2   0    0 |    *    *    *    * 7200    * |   0   0   0    1    1    1   0   0 | 0   1   1   1 0
..x3..o   ... ...          |    0   0   3 |    0    0   0    3 |    *    *    *    *    * 2400 |   0   0   0    1    0    0   1   1 | 0   1   1   0 1
---------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
o..3x..3/2o.. ...              6   0   0 |   12    0   0    0 |    4    4    0    0    0    0 | 600   *   *    *    *    *   *   * | 1   1   0   0 0
o..3x..   ... o..5/3*b        30   0   0 |   60    0   0    0 |   20    0   12    0    0    0 |   * 120   *    *    *    *   *   * | 1   0   1   0 0
... x..3/2o..3o..5/3*b        20   0   0 |   60    0   0    0 |    0   20   12    0    0    0 |   *   * 120    *    *    *   *   * | 1   0   0   1 0
ofx3xoo   ... ...     &#xt     3   3   3 |    3    6   3    3 |    1    0    0    3    3    1 |   *   *   * 2400    *    *   *   * | 0   1   1   0 0
... xo.3/2oo. ...     &#x      3   1   0 |    3    3   0    0 |    0    1    0    0    3    0 |   *   *   *    * 2400    *   *   * | 0   1   0   1 0
... xo.   ... oo.5/3*b&#x      5   1   0 |    5    5   0    0 |    0    0    1    0    5    0 |   *   *   *    *    * 1440   *   * | 0   0   1   1 0
..x3..o3/2..o ...              0   0   4 |    0    0   0    6 |    0    0    0    0    0    4 |   *   *   *    *    *    * 600   * | 0   1   0   0 1
..x3..o   ... ..o5/3*b         0   0  12 |    0    0   0   30 |    0    0    0    0    0   20 |   *   *   *    *    *    *   * 120 | 0   0   1   0 1
---------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
o..3x..3/2o..3o..5/3*b      1200   0   0 | 7200    0   0    0 | 2400 2400 1440    0    0    0 | 600 120 120    0    0    0   0   0 | 1   *   *   * *
ofx3xoo3/2ooo ...     &#xt     6   4   4 |   12   12   4    6 |    4    4    0    6   12    4 |   1   0   0    4    4    0   1   0 | * 600   *   * *
ofx3xoo   ... ooo5/3*b&#xt    30  12  12 |   60   60  12   30 |   20    0   12   30   60   20 |   0   1   0   20    0   12   0   1 | *   * 120   * *
... xo.3/2oo.3oo.5/3*b&#x     20   1   0 |   60   20   0    0 |    0   20   12    0   60    0 |   0   0   1    0   20   12   0   0 | *   *   * 120 *
..x3..o3/2..o3...5/3*b         0   0 120 |    0    0   0 1200 |    0    0    0    0    0 2400 |   0   0   0    0    0    0 600 120 | *   *   *   * 1

ofx3xoo3/2ooo3/2ooo5/2*b&#xt   → height(1,2) = sqrt[(7 sqrt(5)-15)/2] = 0.571172
                             height(2,3) = sqrt[(3 sqrt(5)-5)/2] = 0.924176
(rissidtixhi || f-sidtixhi || sidtixhi)

o..3o..3/2o..3/2o..5/2*b     | 1200   *   * |   12    2   0    0 |    6    6    6    1   12    0 |   3   3   2    6    6    6   0   0 | 1   3   3   2 0
.o.3.o.3/2.o.3/2.o.5/2*b     |    * 120   * |    0   20   1    0 |    0    0    0   20   60    0 |   0   0   0   60   20   12   0   0 | 0  20  12   1 0
..o3..o3/2..o3/2..o5/2*b     |    *   * 120 |    0    0   1   20 |    0    0    0   20    0   60 |   0   0   0   60    0    0  20  12 | 0  20  12   0 1
-----------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
... x..   ...   ...          |    2   0   0 | 7200    *   *    * |    1    1    1    0    1    0 |   1   1   1    1    1    1   0   0 | 1   1   1   1 0
oo.3oo.3/2oo.3/2oo.5/2*b&#x  |    1   1   0 |    * 2400   *    * |    0    0    0    1    6    0 |   0   0   0    6    3    3   0   0 | 0   3   3   1 0
.oo3.oo3/2.oo3/2.oo5/2*b&#x  |    0   1   1 |    *    * 120    *     0    0    0   20    0    0 |   0   0   0   60    0    0   0   0 | 0  20  12   0 0
..x ...   ...   ...          |    0   0   2 |    *    *   * 1200 |    0    0    0    1    0    6 |   0   0   0    6    0    0   3   3 | 0   3   3   0 1
-----------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
o..3x..   ...   ...          |    3   0   0 |    3    0   0    0 | 2400    *    *    *    *    * |   1   1   0    1    0    0   0   0 | 1   1   1   0 0
... x..3/2o..   ...          |    3   0   0 |    3    0   0    0 |    * 2400    *    *    *    * |   1   0   1    0    1    0   0   0 | 1   1   0   1 0
... x..   ...   o..5/2*b     |    5   0   0 |    5    0   0    0 |    *    * 1440    *    *    * |   0   1   1    0    0    1   0   0 | 1   0   1   1 0
ofx ...   ...   ...     &#xt |    1   2   2 |    0    2   2    1 |    *    *    * 1200    *    * |   0   0   0    6    0    0   0   0 | 0   3   3   0 0
... xo.   ...   ...     &#x  |    2   1   0 |    1    2   0    0 |    *    *    *    * 7200    * |   0   0   0    1    1    1   0   0 | 0   1   1   1 0
..x3..o   ...   ...          |    0   0   3 |    0    0   0    3 |    *    *    *    *    * 2400 |   0   0   0    1    0    0   1   1 | 0   1   1   0 1
-----------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
o..3x..3/2o..   ...              6   0   0 |   12    0   0    0 |    4    4    0    0    0    0 | 600   *   *    *    *    *   *   * | 1   1   0   0 0
o..3x..   ...   o..5/2*b        30   0   0 |   60    0   0    0 |   20    0   12    0    0    0 |   * 120   *    *    *    *   *   * | 1   0   1   0 0
... x..3/2o..3/2o..5/2*b        20   0   0 |   60    0   0    0 |    0   20   12    0    0    0 |   *   * 120    *    *    *   *   * | 1   0   0   1 0
ofx3xoo   ...   ...     &#xt     3   3   3 |    3    6   3    3 |    1    0    0    3    3    1 |   *   *   * 2400    *    *   *   * | 0   1   1   0 0
... xo.3/2oo.   ...     &#x      3   1   0 |    3    3   0    0 |    0    1    0    0    3    0 |   *   *   *    * 2400    *   *   * | 0   1   0   1 0
... xo.   ...   oo.5/2*b&#x      5   1   0 |    5    5   0    0 |    0    0    1    0    5    0 |   *   *   *    *    * 1440   *   * | 0   0   1   1 0
..x3..o3/2..o   ...              0   0   4 |    0    0   0    6 |    0    0    0    0    0    4 |   *   *   *    *    *    * 600   * | 0   1   0   0 1
..x3..o   ...   ..o5/2*b         0   0  12 |    0    0   0   30 |    0    0    0    0    0   20 |   *   *   *    *    *    *   * 120 | 0   0   1   0 1
-----------------------------+--------------+--------------------+-------------------------------+------------------------------------+----------------
o..3x..3/2o..3/2o..5/2*b      1200   0   0 | 7200    0   0    0 | 2400 2400 1440    0    0    0 | 600 120 120    0    0    0   0   0 | 1   *   *   * *
ofx3xoo3/2ooo   ...     &#xt     6   4   4 |   12   12   4    6 |    4    4    0    6   12    4 |   1   0   0    4    4    0   1   0 | * 600   *   * *
ofx3xoo   ...   ooo5/2*b&#xt    30  12  12 |   60   60  12   30 |   20    0   12   30   60   20 |   0   1   0   20    0   12   0   1 | *   * 120   * *
... xo.3/2oo.3/2oo.5/2*b&#x     20   1   0 |   60   20   0    0 |    0   20   12    0   60    0 |   0   0   1    0   20   12   0   0 | *   *   * 120 *
..x3..o3/2..o3/2...5/2*b         0   0 120 |    0    0   0 1200 |    0    0    0    0    0 2400 |   0   0   0    0    0    0 600 120 | *   *   *   * 1

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