Acronym mou
Name mo-based ursaexon
Circumradius sqrt[(13+5 sqrt(5))/8] = 1.738546
Face vector 864, 8712, 20160, 19440, 8748, 1746, 128
Confer
general polytopal classes:
ursatopes  

Incidence matrix according to Dynkin symbol

ooo3ooo3xoo3ooo3ooo *c3ofx&#xt   → height(1,2) = sqrt[sqrt(5)-2] = 0.485868
                                   height(2,3) = sqrt[(sqrt(5)-1)/2] = 0.786151
(ram || f-mo || mo)

o..3o..3o..3o..3o.. *c3o..       | 720  *  * |   18    2  0   0 |   36    9   18   1    0 |   12   18   18   36    9    0 |  12   6   9   12   18   18   0   0 |  2  6  12   6   9  0 | 1  2  6 0
.o.3.o.3.o.3.o.3.o. *c3.o.       |   * 72  * |    0   20  1   0 |    0    0   90  20    0 |    0    0    0  120   90    0 |   0   0   0   30   30  120   0   0 |  0  0  12  30  30  0 | 0  1 12 0
..o3..o3..o3..o3..o *c3..o       |   *  * 72 |    0    0  1  20 |    0    0    0  20   90 |    0    0    0    0   90  120 |   0   0   0    0    0  120  30  30 |  0  0   0  30  30 12 | 0  0 12 1
---------------------------------+-----------+------------------+-------------------------+-------------------------------+------------------------------------+----------------------+----------
... ... x.. ... ...    ...       |   2  0  0 | 6480    *  *   * |    4    1    1   0    0 |    2    4    4    4    1    0 |   4   2   4    2    4    4   0   0 |  1  4   4   2   4  0 | 1  1  4 0
oo.3oo.3oo.3oo.3oo. *c3oo.&#x    |   1  1  0 |    * 1440  *   * |    0    0    9   1    0 |    0    0    0   18    9    0 |   0   0   0    6    9   18   0   0 |  0  0   6   6   9  0 | 0  1  6 0
.oo3.oo3.oo3.oo3.oo *c3.oo&#x    |   0  1  1 |    *    * 72   *     0    0    0  20    0 |    0    0    0    0   90    0 |   0   0   0    0    0  120   0   0 |  0  0   0  30  30  0 | 0  0 12 0
... ... ... ... ...    ..x       |   0  0  2 |    *    *  * 720 |    0    0    0   1    9 |    0    0    0    0    9   18 |   0   0   0    0    0   18   6   9 |  0  0   0   6   9  6 | 0  0  6 1
---------------------------------+-----------+------------------+-------------------------+-------------------------------+------------------------------------+----------------------+----------
... o..3x.. ... ...    ...     & |   3  0  0 |    3    0  0   0 | 8640    *    *   *    * |    1    2    1    1    0    0 |   3   1   2    1    2    1   0   0 |  1  3   3   1   2  0 | 1  1  3 0
... ... x.. ... ... *c3o..       |   3  0  0 |    3    0  0   0 |    * 2160    *   *    * |    0    0    4    0    1    0 |   0   2   4    0    0    4   0   0 |  0  4   0   2   4  0 | 1  0  4 0
... ... xo. ... ...    ...&#x    |   2  1  0 |    1    2  0   0 |    *    * 6480   *    * |    0    0    0    4    1    0 |   0   0   0    2    4    4   0   0 |  0  0   4   2   4  0 | 0  1  4 0
... ... ... ... ...    ofx&#xt   |   1  2  2 |    0    2  2   1 |    *    *    * 720    *     0    0    0    0    9    0 |   0   0   0    0    0   18   0   0 |  0  0   0   6   9  0 | 0  0  6 0
... ... ..o ... ... *c3..x       |   0  0  3 |    0    0  0   3 |    *    *    *   * 2160 |    0    0    0    0    1    4 |   0   0   0    0    0    4   2   4 |  0  0   0   2   4  4 | 0  0  4 1
---------------------------------+-----------+------------------+-------------------------+-------------------------------+------------------------------------+----------------------+----------
o..3o..3x.. ... ...    ...     &    4  0  0 |    6    0  0   0 |    4    0    0   0    0 | 2160    *    *    *    *    * |   2   1   0    1    0    0   0   0 |  1  2   2   1   0  0 | 1  1  2 0
... o..3x..3o.. ...    ...          6  0  0 |   12    0  0   0 |    8    0    0   0    0 |    * 2160    *    *    *    * |   2   0   1    0    1    0   0   0 |  1  2   2   0   1  0 | 1  1  2 0
... o..3x.. ... ... *c3o..     &    6  0  0 |   12    0  0   0 |    4    4    0   0    0 |    *    * 2160    *    *    * |   0   1   2    0    0    1   0   0 |  0  3   0   1   2  0 | 1  0  3 0
... oo.3xo. ... ...    ...&#x  &    3  1  0 |    3    3  0   0 |    1    0    3   0    0 |    *    *    * 8640    *    * |   0   0   0    1    2    1   0   0 |  0  0   3   1   2  0 | 0  1  3 0
... ... xoo ... ... *c3ofx&#xt      3  3  3 |    3    6  3   3 |    0    1    3   3    1 |    *    *    *    * 2160    * |   0   0   0    0    0    4   0   0 |  0  0   0   2   4  0 | 0  0  4 0
... o..3o.. ... ... *c3..x     &    0  0  4 |    0    0  0   6 |    0    0    0   0    4 |    *    *    *    *    * 2160 |   0   0   0    0    0    1   1   2 |  0  0   0   1   2  3 | 0  0  3 1
---------------------------------+-----------+------------------+-------------------------+-------------------------------+------------------------------------+----------------------+----------
o..3o..3x..3o.. ...    ...     &   10  0  0 |   30    0  0   0 |   30    0    0   0    0 |    5    5    0    0    0    0 | 864   *   *    *    *    *   *   * |  1  1   1   0   0  0 | 1  1  1 0
o..3o..3x.. ... ... *c3o..     &   10  0  0 |   30    0  0   0 |   20   10    0   0    0 |    5    0    5    0    0    0 |   * 432   *    *    *    *   *   * |  0  2   0   1   0  0 | 1  0  2 0
... o..3x..3o.. ... *c3o..         24  0  0 |   96    0  0   0 |   64   32    0   0    0 |    0    8   16    0    0    0 |   *   * 270    *    *    *   *   * |  0  2   0   0   1  0 | 1  0  2 0
oo.3oo.3xo. ... ...    ...&#x  &    4  1  0 |    6    4  0   0 |    4    0    6   0    0 |    1    0    0    4    0    0 |   *   *   * 2160    *    *   *   * |  0  0   2   1   0  0 | 0  1  2 0
... oo.3xo.3oo. ...    ...&#x       6  1  0 |   12    6  0   0 |    8    0   12   0    0 |    0    1    0    8    0    0 |   *   *   *    * 2160    *   *   * |  0  0   2   0   1  0 | 0  1  2 0
... ooo3xoo ... ... *c3ofx&#xt &    6  4  4 |   12   12  4   6 |    4    4   12   6    4 |    0    0    1    4    4    1 |   *   *   *    *    * 2160   *   * |  0  0   0   1   2  0 | 0  0  3 0
o..3o..3o.. ... ... *c3..x     &    0  0  5 |    0    0  0  10 |    0    0    0   0   10 |    0    0    0    0    0    5 |   *   *   *    *    *    * 432   * |  0  0   0   1   0  2 | 0  0  2 1
... o..3o..3o.. ... *c3..x          0  0  8 |    0    0  0  24 |    0    0    0   0   32 |    0    0    0    0    0   16 |   *   *   *    *    *    *   * 270 |  0  0   0   0   1  2 | 0  0  2 1
---------------------------------+-----------+------------------+-------------------------+-------------------------------+------------------------------------+----------------------+----------
o..3o..3x..3o..3o..    ...         20  0  0 |   90    0  0   0 |  120    0    0   0    0 |   30   30    0    0    0    0 |  12   0   0    0    0    0   0   0 | 72  *   *   *   *  * | 1  1  0 0
o..3o..3x..3o.. ... *c3o..     &   80  0  0 |  480    0  0   0 |  480  160    0   0    0 |   80   80  120    0    0    0 |  16  16  10    0    0    0   0   0 |  * 54   *   *   *  * | 1  0  1 0
oo.3oo.3xo.3oo. ...    ...&#x  &   10  1  0 |   30   10  0   0 |   30    0   30   0    0 |    5    5    0   30    0    0 |   1   0   0    5    5    0   0   0 |  *  * 864   *   *  * | 0  1  1 0
ooo3ooo3xoo ... ... *c3ofx&#xt &   10  5  5 |   30   20  5  10 |   20   10   30  10   10 |    5    0    5   20   10    5 |   0   1   0    5    0    5   1   0 |  *  *   * 432   *  * | 0  2  0 0
... ooo3xoo3ooo ... *c3ofx&#xt     24  8  8 |   96   48  8  24 |   64   32   96  24   32 |    0    8   16   64   32   16 |   0   0   1    0    8   16   0   1 |  *  *   *   * 270  * | 0  0  2 0
o..3o..3o..3o.. ... *c3..x     &    0  0 16 |    0    0  0  80 |    0    0    0   0  160 |    0    0    0    0    0  120 |   0   0   0    0    0    0  16  10 |  *  *   *   *   * 54 | 0  0  1 1
---------------------------------+-----------+------------------+-------------------------+-------------------------------+------------------------------------+----------------------+----------
o..3o..3x..3o..3o.. *c3o..        720  0  0 | 6480    0  0   0 | 8640 2160    0   0    0 | 2160 2160 2160    0    0    0 | 864 432 270    0    0    0   0   0 | 72 54   0   0   0  0 | 1  *  * *
oo.3oo.3xo.3oo.3oo.    ...&#x      20  1  0 |   90   20  0   0 |  120    0   90   0    0 |   30   30    0  120    0    0 |  12   0   0   30   30    0   0   0 |  1  0  12   0   0  0 | * 72  * *
ooo3ooo3xoo3ooo ... *c3ofx&#xt &   80 16 16 |  480  160 16  80 |  480  160  480  80  160 |   80   80  120  480  160  120 |  16  16  10   80   80  120  16  10 |  0  1  16  16  10  1 | *  * 54 *
o..3o..3o..3o..3o.. *c3..x          0  0 72 |    0    0  0 720 |    0    0    0   0 2160 |    0    0    0    0    0 2160 |   0   0   0    0    0    0 432 270 |  0  0   0   0   0 54 | *  *  * 1

© 2004-2024
top of page