Acronym sritaprohu
Name (srit,proh)-based ursateron
Circumradius sqrt[(19+8 sqrt(2)+7 sqrt(5)+4 sqrt(10))/8] = 2.706827
Face vector 384, 1344, 1504, 624, 82
Confer
general polytopal classes:
ursatopes  

Incidence matrix according to Dynkin symbol

xoo3ofx3xoo4xxx&#xt   → height(1,2) = sqrt[sqrt(5)-2] = 0.485868
                        height(2,3) = sqrt[(sqrt(5)-1)/2] = 0.786151
(proh || (f,x)-srit || srit)

o..3o..3o..4o..     | 192  *  * |   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.4.o.     |   * 96  * |   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..o4..o     |   *  * 96 |   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 | 192   *  *   *  *  *   *  * |  1  1  1  0  0   1   0   0   0  0  0  0  0  0  0 |  1  1  1 0  1  1  0  0  0  0  0  0  0 0 | 1  1  1  1 0 0
... ... x.. ...     |   2  0  0 |   * 192  *   *  *  *   *  * |  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 |   *   * 96   *  *  *   *  * |  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.4oo.&#x  |   1  1  0 |   *   *  * 384  *  *   *  * |  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 |   *   *  *   * 96  *   *  * |  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.oo4.oo&#x  |   0  1  1 |   *   *  *   *  * 96   *  * |  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 |   *   *  *   *  *  * 192  * |  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 |   *   *  *   *  *  *   * 96 |  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 | 64  *  *  *  *   *   *   *   *  *  *  *  *  *  * |  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 |  * 96  *  *  *   *   *   *   *  *  *  *  *  *  * |  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 |  *  * 96  *  *   *   *   *   *  *  *  *  *  *  * |  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 |  *  *  * 64  *   *   *   *   *  *  *  *  *  *  * |  1  0  0 1  0  0  0  1  0  0  0  0  0 0 | 1  1  0  0 1 0
... ... x..4x..     |   8  0  0 |   0   4  4   0  0  0   0  0 |  *  *  *  * 48   *   *   *   *  *  *  *  *  *  * |  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 |  *  *  *  *  * 192   *   *   *  *  *  *  *  *  * |  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 |  *  *  *  *  *   * 192   *   *  *  *  *  *  *  * |  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 |  *  *  *  *  *   *   * 192   *  *  *  *  *  *  * |  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 |  *  *  *  *  *   *   *   * 192  *  *  *  *  *  * |  0  0  0 0  0  0  1  0  1  1  0  0  0 0 | 0  0  1  1 1 0
... ... .o.4.x.     |   0  4  0 |   0   0  0   0  4  0   0  0 |  *  *  *  *  *   *   *   *   * 24  *  *  *  *  * |  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 |  *  *  *  *  *   *   *   *   *  * 96  *  *  *  * |  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 |  *  *  *  *  *   *   *   *   *  *  * 64  *  *  * |  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 |  *  *  *  *  *   *   *   *   *  *  *  * 64  *  * |  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 |  *  *  *  *  *   *   *   *   *  *  *  *  * 96  * |  0  0  0 0  0  0  0  0  1  0  0  0  1 1 | 0  0  1  0 1 1
... ... ..o4..x     |   0  0  4 |   0   0  0   0  0  0   0  4 |  *  *  *  *  *   *   *   *   *  *  *  *  *  * 24 |  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 | 16  *  * *  *  *  *  *  *  *  *  *  * * | 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 |  * 32  * *  *  *  *  *  *  *  *  *  * * | 1  0  1  0 0 0
x.. ... x..4x..       16  0  0 |   8   8  8   0  0  0   0  0 |  0  4  4  0  2   0   0   0   0  0  0  0  0  0  0 |  *  * 24 *  *  *  *  *  *  *  *  *  * * | 1  0  0  1 0 0
... o..3x..4x..       24  0  0 |   0  24 12   0  0  0   0  0 |  0  0  0  8  6   0   0   0   0  0  0  0  0  0  0 |  *  *  * 8  *  *  *  *  *  *  *  *  * * | 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 |  *  *  * * 64  *  *  *  *  *  *  *  * * | 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 |  *  *  * *  * 96  *  *  *  *  *  *  * * | 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 |  *  *  * *  *  * 96  *  *  *  *  *  * * | 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 |  *  *  * *  *  *  * 64  *  *  *  *  * * | 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 |  *  *  * *  *  *  *  * 96  *  *  *  * * | 0  0  1  0 1 0
... ... xo.4xx.&#x     8  4  0 |   0   4  4   8  4  0   0  0 |  0  0  0  0  1   0   0   4   4  1  0  0  0  0  0 |  *  *  * *  *  *  *  *  * 48  *  *  * * | 0  0  0  1 1 0
... ... .oo4.xx&#x     0  4  4 |   0   0  0   0  4  4   0  4 |  0  0  0  0  0   0   0   0   0  1  4  0  0  0  1 |  *  *  * *  *  *  *  *  *  * 24  *  * * | 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 |  *  *  * *  *  *  *  *  *  *  * 16  * * | 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 |  *  *  * *  *  *  *  *  *  *  *  * 32 * | 0  0  1  0 0 1
... ..x3..o4..x        0  0 24 |   0   0  0   0  0  0  24 24 |  0  0  0  0  0   0   0   0   0  0  0  0  8 12  6 |  *  *  * *  *  *  *  *  *  *  *  *  * 8 | 0  0  0  0 1 1
--------------------+-----------+-----------------------------+--------------------------------------------------+-----------------------------------------+---------------
x..3o..3x..4..x      192  0  0 | 192 192 96   0  0  0   0  0 | 64 96 96 64 48   0   0   0   0  0  0  0  0  0  0 | 16 32 24 8  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 | * 16  *  * * *
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 | *  * 32  * * *
xo. ... xo.4xx.&#x    16  4  0 |   8   8  8  16  4  0   0  0 |  0  4  4  0  2   8   0   8   8  1  0  0  0  0  0 |  0  0  1 0  0  4  4  0  0  2  0  0  0 0 | *  *  * 24 * *
... ofx3xoo4xxx&#xt   24 24 24 |   0  24 12  48 24 24  24 24 |  0  0  0  8  6   0  24  24  24  6 24  0  8 12  6 |  0  0  0 1  0  0  0  8 12  6  6  0  0 1 | *  *  *  * 8 *
..o3..x3..o4..x        0  0 96 |   0   0  0   0  0  0 192 96 |  0  0  0  0  0   0   0   0   0  0  0 64 64 96 24 |  0  0  0 0  0  0  0  0  0  0  0 16 32 8 | *  *  *  * * 1

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