Acronym naqu
Name naq-based ursazetton
Circumradius sqrt[(25+9 sqrt(5))/22] = 1.432173
Face vector 868, 14420, 61236, 124992, 131040, 66024, 13052, 760
Confer
general polytopal classes:
ursatopes  

Incidence matrix according to Dynkin symbol

ooo3ooo3ooo3ooo *c3ooo3xoo3ofx&#xt   → height(1,2) = sqrt[(5 sqrt(5)-9)/8] = 0.522056
                                       height(2,3) = sqrt[(3 sqrt(5)-1)/8] = 0.844704
(ranq || f-naq || naq)

o..3o..3o..3o.. *c3o..3o..3o..     | 756  *  * |    32    2  0   0 |   160   16    32   1    0 |   320    80   160   16     0 |   160    80   160   320    80     0 |   32   20   80   40   160    80   160    0    0 |  2  16  10   32   20   80   40   0   0 | 1  2  16  10 0
.o.3.o.3.o.3.o. *c3.o.3.o.3.o.     |   * 56  * |     0   27  1   0 |     0    0   216  27    0 |     0     0   720  216     0 |     0     0     0  1080   720     0 |    0    0    0    0   432   216  1080    0    0 |  0   0   0   72   27  432  216   0   0 | 0  1  72  27 0
..o3..o3..o3..o *c3..o3..o3..o     |   *  * 56 |     0    0  1  27 |     0    0     0  27  216 |     0     0     0  216   720 |     0     0     0     0   720  1080 |    0    0    0    0     0     0  1080  432  216 |  0   0   0    0    0  432  216  72  27 | 0  0  72  27 1
-----------------------------------+-----------+-------------------+---------------------------+------------------------------+-------------------------------------+-------------------------------------------------+----------------------------------------+---------------
... ... ... ...    ... x.. ...     |   2  0  0 | 12096    *  *   * |    10    1     1   0    0 |    30    10    10    0     0 |    20    10    30    30    10     0 |    5    5   20   10    20    10    30    0    0 |  1   5   5    5    5   20   10   0   0 | 1  1   5   5 0
oo.3oo.3oo.3oo. *c3oo.3oo.3oo.&#x  |   1  1  0 |     * 1512  *   * |     0    0    16   1    0 |     0     0    80   16     0 |     0     0     0   160    80     0 |    0    0    0    0    80    40   160    0    0 |  0   0   0   16   10   80   40   0   0 | 0  1  16  10 0
.oo3.oo3.oo3.oo *c3.oo3.oo3.oo&#x  |   0  1  1 |     *    * 56   *      0    0     0  27    0 |     0     0     0  216     0 |     0     0     0     0   720     0 |    0    0    0    0     0     0  1080    0    0 |  0   0   0    0    0  432  216   0   0 | 0  0  72  27 0
... ... ... ...    ... ... ..x     |   0  0  2 |     *    *  * 756 |     0    0     0   1   16 |     0     0     0   16    80 |     0     0     0     0    80   160 |    0    0    0    0     0     0   160   80   40 |  0   0   0    0    0   80   40  16  10 | 0  0  16  10 1
-----------------------------------+-----------+-------------------+---------------------------+------------------------------+-------------------------------------+-------------------------------------------------+----------------------------------------+---------------
... ... ... ...    o..3x.. ...     |   3  0  0 |     3    0  0   0 | 40320    *     *   *    * |     6     1     1    0     0 |     6     3     6     6     1     0 |    2    3    6    3     6     3     6    0    0 |  1   2   3    2    3    6    3   0   0 | 1  1   2   3 0
... ... ... ...    ... x..3o..     |   3  0  0 |     3    0  0   0 |     * 4032     *   *    * |     0    10     0    1     0 |     0     0    30     0    10     0 |    0    0   20   10     0     0    30    0    0 |  0   5   5    0    0   20   10   0   0 | 1  0   5   5 0
... ... ... ...    ... xo. ...&#x  |   2  1  0 |     1    2  0   0 |     *    * 12096   *    * |     0     0    10    1     0 |     0     0     0    30    10     0 |    0    0    0    0    20    10    30    0    0 |  0   0   0    5    5   20   10   0   0 | 0  1   5   5 0
... ... ... ...    ... ... ofx&#xt |   1  2  2 |     0    2  2   1 |     *    *     * 756    *      0     0     0   16     0 |     0     0     0     0    80     0 |    0    0    0    0     0     0   160    0    0 |  0   0   0    0    0   80   40   0   0 | 0  0  16  10 0
... ... ... ...    ... ..o3..x     |   0  0  3 |     0    0  0   3 |     *    *     *   * 4032 |     0     0     0    1    10 |     0     0     0     0    10    30 |    0    0    0    0     0     0    30   20   10 |  0   0   0    0    0   20   10   5   5 | 0  0   5   5 1
-----------------------------------+-----------+-------------------+---------------------------+------------------------------+-------------------------------------+-------------------------------------------------+----------------------------------------+---------------
... ... o.. ... *c3o..3x.. ...        4  0  0 |     6    0  0   0 |     4    0     0   0    0 | 60480     *     *    *     * |     2     1     1     1     0     0 |    1    2    2    1     2     1     1    0    0 |  1   1   2    1    2    2    1   0   0 | 1  1   1   2 0
... ... ... ...    o..3x..3o..        6  0  0 |    12    0  0   0 |     4    4     0   0    0 |     * 10080     *    *     * |     0     0     6     0     1     0 |    0    0    6    3     0     0     6    0    0 |  0   2   3    0    0    6    3   0   0 | 1  0   2   3 0
... ... ... ...    oo.3xo. ...&#x     3  1  0 |     3    3  0   0 |     1    0     3   0    0 |     *     * 40320    *     * |     0     0     0     6     1     0 |    0    0    0    0     6     3     6    0    0 |  0   0   0    2    3    6    3   0   0 | 0  1   2   3 0
... ... ... ...    ... xoo3ofx&#xt    3  3  3 |     3    6  3   3 |     0    1     3   3    1 |     *     *     * 4032     *      0     0     0     0    10     0 |    0    0    0    0     0     0    30    0    0 |  0   0   0    0    0   20   10   0   0 | 0  0   5   5 0
... ... ... ...    ..o3..o3..x        0  0  4 |     0    0  0   6 |     0    0     0   0    4 |     *     *     *    * 10080 |     0     0     0     0     1     6 |    0    0    0    0     0     0     6    6    3 |  0   0   0    0    0    6    3   2   3 | 0  0   2   3 1
-----------------------------------+-----------+-------------------+---------------------------+------------------------------+-------------------------------------+-------------------------------------------------+----------------------------------------+---------------
... o..3o.. ... *c3o..3x.. ...        5  0  0 |    10    0  0   0 |    10    0     0   0    0 |     5     0     0    0     0 | 24192     *     *     *     *     * |    1    1    1    0     1     0     0    0    0 |  1   1   1    1    1    1    0   0   0 | 1  1   1   1 0
... ... o..3o.. *c3o..3x.. ...        5  0  0 |    10    0  0   0 |    10    0     0   0    0 |     5     0     0    0     0 |     * 12096     *     *     *     * |    0    2    0    1     0     1     0    0    0 |  1   0   2    0    2    0    1   0   0 | 1  1   0   2 0
... ... o.. ... *c3o..3x..3o..       10  0  0 |    30    0  0   0 |    20   10     0   0    0 |     5     5     0    0     0 |     *     * 12096     *     *     * |    0    0    2    1     0     0     1    0    0 |  0   1   2    0    0    2    1   0   0 | 1  0   1   2 0
... ... oo. ... *c3oo.3xo. ...&#x     4  1  0 |     6    4  0   0 |     4    0     6   0    0 |     1     0     4    0     0 |     *     *     * 60480     *     * |    0    0    0    0     2     1     1    0    0 |  0   0   0    1    2    2    1   0   0 | 0  1   1   2 0
... ... ... ...    ooo3xoo3ofx&#xt    6  4  4 |    12   12  4   6 |     4    4    12   6    4 |     0     1     4    4     1 |     *     *     *     * 10080     *     0    0    0    0     0     0     6    0    0 |  0   0   0    0    0    6    3   0   0 | 0  0   2   3 0
... ... ..o ... *c3..o3..o3..x        0  0  5 |     0    0  0  10 |     0    0     0   0   10 |     0     0     0    0     5 |     *     *     *     *     * 12096 |    0    0    0    0     0     0     1    2    1 |  0   0   0    0    0    2    1   1   2 | 0  0   1   2 1
-----------------------------------+-----------+-------------------+---------------------------+------------------------------+-------------------------------------+-------------------------------------------------+----------------------------------------+---------------
o..3o..3o.. ... *c3o..3x.. ...        6  0  0 |    15    0  0   0 |    20    0     0   0    0 |    15     0     0    0     0 |     6     0     0     0     0     0 | 4032    *    *    *     *     *     *    *    * |  1   1   0    1    0    0    0   0   0 | 1  1   1   0 0
... o..3o..3o.. *c3o..3x.. ...       10  0  0 |    40    0  0   0 |    80    0     0   0    0 |    80     0     0    0     0 |    16    16     0     0     0     0 |    * 1512    *    *     *     *     *    *    * |  1   0   1    0    1    0    0   0   0 | 1  1   0   1 0
... o..3o.. ... *c3o..3x..3o..       15  0  0 |    60    0  0   0 |    60   20     0   0    0 |    30    15     0    0     0 |     6     0     6     0     0     0 |    *    * 4032    *     *     *     *    *    * |  0   1   1    0    0    1    0   0   0 | 1  0   1   1 0
... ... o..3o.. *c3o..3x..3o..       15  0  0 |    60    0  0   0 |    60   20     0   0    0 |    30    15     0    0     0 |     0     6     6     0     0     0 |    *    *    * 2016     *     *     *    *    * |  0   0   2    0    0    0    1   0   0 | 1  0   0   2 0
... oo.3oo. ... *c3oo.3xo. ...&#x     5  1  0 |    10    5  0   0 |    10    0    10   0    0 |     5     0    10    0     0 |     1     0     0     5     0     0 |    *    *    *    * 24192     *     *    *    * |  0   0   0    1    1    1    0   0   0 | 0  1   1   1 0
... ... oo.3oo. *c3oo.3xo. ...&#x     5  1  0 |    10    5  0   0 |    10    0    10   0    0 |     5     0    10    0     0 |     0     1     0     5     0     0 |    *    *    *    *     * 12096     *    *    * |  0   0   0    0    2    0    1   0   0 | 0  1   0   2 0
... ... ooo ... *c3ooo3xoo3ofx&#xt   10  5  5 |    30   20  5  10 |    20   10    30  10   10 |     5     5    20   10     5 |     0     0     1     5     5     1 |    *    *    *    *     *     * 12096    *    * |  0   0   0    0    0    2    1   0   0 | 0  0   1   2 0
... ..o3..o ... *c3..o3..o3..x        0  0  6 |     0    0  0  15 |     0    0     0   0   20 |     0     0     0    0    15 |     0     0     0     0     0     6 |    *    *    *    *     *     *     * 4032    * |  0   0   0    0    0    1    0   1   1 | 0  0   1   1 1
... ... ..o3..o *c3..o3..o3..x        0  0  6 |     0    0  0  15 |     0    0     0   0   20 |     0     0     0    0    15 |     0     0     0     0     0     6 |    *    *    *    *     *     *     *    * 2016 |  0   0   0    0    0    0    1   0   2 | 0  0   0   2 1
-----------------------------------+-----------+-------------------+---------------------------+------------------------------+-------------------------------------+-------------------------------------------------+----------------------------------------+---------------
o..3o..3o..3o.. *c3o..3x.. ...       27  0  0 |   216    0  0   0 |   720    0     0   0    0 |  1080     0     0    0     0 |   432   216     0     0     0     0 |   72   27    0    0     0     0     0    0    0 | 56   *   *    *    *    *    *   *   * | 1  1   0   0 0
o..3o..3o.. ... *c3o..3x..3o..       21  0  0 |   105    0  0   0 |   140   35     0   0    0 |   105    35     0    0     0 |    42     0    21     0     0     0 |    7    0    7    0     0     0     0    0    0 |  * 576   *    *    *    *    *   *   * | 1  0   1   0 0
... o..3o..3o.. *c3o..3x..3o..       60  0  0 |   480    0  0   0 |   960  160     0   0    0 |   960   240     0    0     0 |   192   192   192     0     0     0 |    0   12   32   32     0     0     0    0    0 |  *   * 126    *    *    *    *   *   * | 1  0   0   1 0
oo.3oo.3oo. ... *c3oo.3xo. ...&#x     6  1  0 |    15    6  0   0 |    20    0    15   0    0 |    15     0    20    0     0 |     6     0     0    15     0     0 |    1    0    0    0     6     0     0    0    0 |  *   *   * 4032    *    *    *   *   * | 0  1   1   0 0
... oo.3oo.3oo. *c3oo.3xo. ...&#x    10  1  0 |    40   10  0   0 |    80    0    40   0    0 |    80     0    80    0     0 |    16    16     0    80     0     0 |    0    1    0    0    16    16     0    0    0 |  *   *   *    * 1512    *    *   *   * | 0  1   0   1 0
... ooo3ooo ... *c3ooo3xoo3ofx&#xt   15  6  6 |    60   30  6  15 |    60   20    60  15   20 |    30    15    60   20    15 |     6     0     6    30    15     6 |    0    0    1    0     6     0     6    1    0 |  *   *   *    *    * 4032    *   *   * | 0  0   1   1 0
... ... ooo3ooo *c3ooo3xoo3ofx&#xt   15  6  6 |    60   30  6  15 |    60   20    60  15   20 |    30    15    60   20    15 |     0     6     6    30    15     6 |    0    0    0    1     0     6     6    0    1 |  *   *   *    *    *    * 2016   *   * | 0  0   0   2 0
..o3..o3..o ... *c3..o3..o3..x        0  0  7 |     0    0  0  21 |     0    0     0   0   35 |     0     0     0    0    35 |     0     0     0     0     0    21 |    0    0    0    0     0     0     0    7    0 |  *   *   *    *    *    *    * 576   * | 0  0   1   0 1
... ..o3..o3..o *c3..o3..o3..x        0  0 12 |     0    0  0  60 |     0    0     0   0  160 |     0     0     0    0   240 |     0     0     0     0     0   192 |    0    0    0    0     0     0     0   32   32 |  *   *   *    *    *    *    *   * 126 | 0  0   0   1 1
-----------------------------------+-----------+-------------------+---------------------------+------------------------------+-------------------------------------+-------------------------------------------------+----------------------------------------+---------------
o..3o..3o..3o.. *c3o..3x..3o..      756  0  0 | 12096    0  0   0 | 40320 4032     0   0    0 | 60480 10080     0    0     0 | 24192 12096 12096     0     0     0 | 4032 1512 4032 2016     0     0     0    0    0 | 56 576 126    0    0    0    0   0   0 | 1  *   *   * *
oo.3oo.3oo.3oo. *c3oo.3xo. ...&#x    27  1  0 |   216   27  0   0 |   720    0   216   0    0 |  1080     0   720    0     0 |   432   216     0  1080     0     0 |   72   27    0    0   432   216     0    0    0 |  1   0   0   72   27    0    0   0   0 | * 56   *   * *
ooo3ooo3ooo ... *c3ooo3xoo3ofx&#xt   21  7  7 |   105   42  7  21 |   140   35   105  21   35 |   105    35   140   35    35 |    42     0    21   105    35    21 |    7    0    7    0    42     0    21    7    0 |  0   1   0    7    0    7    0   1   0 | *  * 576   * *
... ooo3ooo3ooo *c3ooo3xoo3ofx&#xt   60 12 12 |   480  120 12  60 |   960  160   480  60  160 |   960   240   960  160   240 |   192   192   192   960   240   192 |    0   12   32   32   192   192   192   32   32 |  0   0   1    0   12   32   32   0   1 | *  *   * 126 *
..o3..o3..o3..o *c3..o3..o3..x        0  0 56 |     0    0  0 756 |     0    0     0   0 4320 |     0     0     0    0 10080 |     0     0     0     0     0 12096 |    0    0    0    0     0     0     0 4032 2016 |  0   0   0    0    0    0    0 576 126 | *  *   *   * 1

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