Acronym sranq
Name small rhombated hecatonicosihexapentacosiheptacontihexaexon
Circumradius sqrt(7) = 2.645751
Face vector 12096, 133056, 346752, 372960, 178416, 32760, 1514
Confer
general polytopal classes:
Wythoffian polyexa  

Incidence matrix according to Dynkin symbol

o3o3o3o *c3x3o3x

. . . .    . . . | 12096 |     20     2 |     60    10    20    1 |     40    20    30     60    10 |    10    10    20    40    10    20    30 |    2    5    10    5   10   20   10 |  1   2   5   5
-----------------+-------+--------------+-------------------------+---------------------------------+-------------------------------------------+-------------------------------------+---------------
. . . .    x . . |     2 | 120960     * |      6     1     1    0 |      6     3     6      6     1 |     2     3     6     6     3     3     6 |    1    2     2    3    3    6    3 |  1   1   2   3
. . . .    . . x |     2 |      * 12096 |      0     0    10    1 |      0     0     0     30    10 |     0     0     0    20     0    10    30 |    0    0     5    0    5   20   10 |  0   1   5   5
-----------------+-------+--------------+-------------------------+---------------------------------+-------------------------------------------+-------------------------------------+---------------
. . o . *c3x . . |     3 |      3     0 | 241920     *     *    * |      2     1     1      1     0 |     1     2     2     2     1     1     1 |    1    1     1    2    2    2    1 |  1   1   1   2
. . . .    x3o . |     3 |      3     0 |      * 40320     *    * |      0     0     6      0     1 |     0     0     6     0     3     0     6 |    0    2     0    3    0    6    3 |  1   0   2   3
. . . .    x . x |     4 |      2     2 |      *     * 60480    * |      0     0     0      6     1 |     0     0     0     6     0     3     6 |    0    0     2    0    3    6    3 |  0   1   2   3
. . . .    . o3x |     3 |      0     3 |      *     *     * 4032       0     0     0      0    10 |     0     0     0     0     0     0    30 |    0    0     0    0    0   20   10 |  0   0   5   5
-----------------+-------+--------------+-------------------------+---------------------------------+-------------------------------------------+-------------------------------------+---------------
. o3o . *c3x . .      4 |      6     0 |      4     0     0    0 | 120960     *     *      *     * |     1     1     1     1     0     0     0 |    1    1     1    1    1    1    0 |  1   1   1   1
. . o3o *c3x . .      4 |      6     0 |      4     0     0    0 |      * 60480     *      *     * |     0     2     0     0     1     1     0 |    1    0     0    2    2    0    1 |  1   1   0   2
. . o . *c3x3o .      6 |     12     0 |      4     4     0    0 |      *     * 60480      *     * |     0     0     2     0     1     0     1 |    0    1     0    2    0    2    1 |  1   0   1   2
. . o . *c3x . x      6 |      6     3 |      2     0     3    0 |      *     *     * 120960     * |     0     0     0     2     0     1     1 |    0    0     1    0    2    2    1 |  0   1   1   2
. . . .    x3o3x     12 |     12    12 |      0     4     6    4 |      *     *     *      * 10080      0     0     0     0     0     0     6 |    0    0     0    0    0    6    3 |  0   0   2   3
-----------------+-------+--------------+-------------------------+---------------------------------+-------------------------------------------+-------------------------------------+---------------
o3o3o . *c3x . .      5 |     10     0 |     10     0     0    0 |      5     0     0      0     0 | 24192     *     *     *     *     *     * |    1    1     1    0    0    0    0 |  1   1   1   0
. o3o3o *c3x . .      8 |     24     0 |     32     0     0    0 |      8     8     0      0     0 |     * 15120     *     *     *     *     * |    1    0     0    1    1    0    0 |  1   1   0   1
. o3o . *c3x3o .     10 |     30     0 |     20    10     0    0 |      5     0     5      0     0 |     *     * 24192     *     *     *     * |    0    1     0    1    0    1    0 |  1   0   1   1
. o3o . *c3x . x      8 |     12     4 |      8     0     6    0 |      2     0     0      4     0 |     *     *     * 60480     *     *     * |    0    0     1    0    1    1    0 |  0   1   1   1
. . o3o *c3x3o .     10 |     30     0 |     20    10     0    0 |      0     5     5      0     0 |     *     *     *     * 12096     *     * |    0    0     0    2    0    0    1 |  1   0   0   2
. . o3o *c3x . x      8 |     12     4 |      8     0     6    0 |      0     2     0      4     0 |     *     *     *     *     * 30240     * |    0    0     0    0    2    0    1 |  0   1   0   2
. . o . *c3x3o3x     30 |     60    30 |     20    20    30   10 |      0     0     5     10     5 |     *     *     *     *     *     * 12096 |    0    0     0    0    0    2    1 |  0   0   1   2
-----------------+-------+--------------+-------------------------+---------------------------------+-------------------------------------------+-------------------------------------+---------------
o3o3o3o *c3x . .     16 |     80     0 |    160     0     0    0 |     80    40     0      0     0 |    16    10     0     0     0     0     0 | 1512    *     *    *    *    *    * |  1   1   0   0
o3o3o . *c3x3o .     15 |     60     0 |     60    20     0    0 |     30     0    15      0     0 |     6     0     6     0     0     0     0 |    * 4032     *    *    *    *    * |  1   0   1   0
o3o3o . *c3x . x     10 |     20     5 |     20     0    10    0 |     10     0     0     10     0 |     2     0     0     5     0     0     0 |    *    * 12096    *    *    *    * |  0   1   1   0
. o3o3o *c3x3o .     40 |    240     0 |    320    80     0    0 |     80    80    80      0     0 |     0    10    16     0    16     0     0 |    *    *     * 1512    *    *    * |  1   0   0   1
. o3o3o *c3x . x     16 |     48     8 |     64     0    24    0 |     16    16     0     32     0 |     0     2     0     8     0     8     0 |    *    *     *    * 7560    *    * |  0   1   0   1
. o3o . *c3x3o3x     60 |    180    60 |    120    60    90   20 |     30     0    30     60    15 |     0     0     6    15     0     0     6 |    *    *     *    *    * 4032    * |  0   0   1   1
. . o3o *c3x3o3x     60 |    180    60 |    120    60    90   20 |      0    30    30     60    15 |     0     0     0     0     6    15     6 |    *    *     *    *    *    * 2016 |  0   0   0   2
-----------------+-------+--------------+-------------------------+---------------------------------+-------------------------------------------+-------------------------------------+---------------
o3o3o3o *c3x3o .    216 |   2160     0 |   4320   720     0    0 |   2160  1080  1080      0     0 |   432   270   432     0   216     0     0 |   27   72     0   27    0    0    0 | 56   *   *   *
o3o3o3o *c3x . x     32 |    160    16 |    320     0    80    0 |    160    80     0    160     0 |    32    20     0    80     0    40     0 |    2    0    16    0   10    0    0 |  * 756   *   *
o3o3o . *c3x3o3x    105 |    420   105 |    420   140   210   35 |    210     0   105    210    35 |    42     0    42   105     0     0    21 |    0    7    21    0    0    7    0 |  *   * 576   *
. o3o3o *c3x3o3x    480 |   2880   480 |   3840   960  1440  160 |    960   960   960   1920   240 |     0   120   192   480   192   480   192 |    0    0     0   12   60   32   32 |  *   *   * 126

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