Acronym sirlaq
Name small rhombated pentacontihexapentacosiheptacontihexaexon
Circumradius sqrt(11) = 3.316625
Face vector 30240, 272160, 534240, 443520, 186984, 38556, 2774
Confer
general polytopal classes:
Wythoffian polyexa  

Incidence matrix according to Dynkin symbol

x3o3x3o *c3o3o3o

. . . .    . . . | 30240 |     2     16 |     1     16     8     8     24 |     8     8     24     4    12    12     16 |    4    12    12    16    6     8     8     4 |   6    8     8     4    4    2    2 |  4   2    2   1
-----------------+-------+--------------+---------------------------------+---------------------------------------------+-----------------------------------------------+-------------------------------------+----------------
x . . .    . . . |     2 | 30240      * |     1      8     0     0      0 |     8     4     12     0     0     0      0 |    4    12     6     8    0     0     0     0 |   6    8     4     2    0    0    0 |  4   2    1   0
. . x .    . . . |     2 |     * 241920 |     0      1     1     1      3 |     1     1      3     1     3     3      3 |    1     3     3     3    3     3     3     1 |   3    3     3     1    3    1    1 |  3   1    1   1
-----------------+-------+--------------+---------------------------------+---------------------------------------------+-----------------------------------------------+-------------------------------------+----------------
x3o . .    . . . |     3 |     3      0 | 10080      *     *     *      * |     8     0      0     0     0     0      0 |    4    12     0     0    0     0     0     0 |   6    8     0     0    0    0    0 |  4   2    0   0
x . x .    . . . |     4 |     2      2 |     * 120960     *     *      * |     1     1      3     0     0     0      0 |    1     3     3     3    0     0     0     0 |   3    3     3     1    0    0    0 |  3   1    1   0
. o3x .    . . . |     3 |     0      3 |     *      * 80640     *      * |     1     0      0     1     3     0      0 |    1     3     0     0    3     3     0     0 |   3    3     0     0    3    1    0 |  3   1    0   1
. . x3o    . . . |     3 |     0      3 |     *      *     * 80640      * |     0     1      0     1     0     3      0 |    1     0     3     0    3     0     3     0 |   3    0     3     0    3    0    1 |  3   0    1   1
. . x . *c3o . . |     3 |     0      3 |     *      *     *     * 241920 |     0     0      1     0     1     1      2 |    0     1     1     2    1     2     2     1 |   1    2     2     1    2    1    1 |  2   1    1   1
-----------------+-------+--------------+---------------------------------+---------------------------------------------+-----------------------------------------------+-------------------------------------+----------------
x3o3x .    . . .     12 |    12     12 |     4      6     4     0      0 | 20160     *      *     *     *     *      * |    1     3     0     0    0     0     0     0 |   3    3     0     0    0    0    0 |  3   1    0   0
x . x3o    . . .      6 |     3      6 |     0      3     0     2      0 |     * 40320      *     *     *     *      * |    1     0     3     0    0     0     0     0 |   3    0     3     0    0    0    0 |  3   0    1   0
x . x . *c3o . .      6 |     3      6 |     0      3     0     0      2 |     *     * 120960     *     *     *      * |    0     1     1     2    0     0     0     0 |   1    2     2     1    0    0    0 |  2   1    1   0
. o3x3o    . . .      6 |     0     12 |     0      0     4     4      0 |     *     *      * 20160     *     *      * |    1     0     0     0    3     0     0     0 |   3    0     0     0    3    0    0 |  3   0    0   1
. o3x . *c3o . .      6 |     0     12 |     0      0     4     0      4 |     *     *      *     * 60480     *      * |    0     1     0     0    1     2     0     0 |   1    2     0     0    2    1    0 |  2   1    0   1
. . x3o *c3o . .      6 |     0     12 |     0      0     0     4      4 |     *     *      *     *     * 60480      * |    0     0     1     0    1     0     2     0 |   1    0     2     0    2    0    1 |  2   0    1   1
. . x . *c3o3o .      4 |     0      6 |     0      0     0     0      4 |     *     *      *     *     *     * 120960 |    0     0     0     1    0     1     1     1 |   0    1     1     1    1    1    1 |  1   1    1   1
-----------------+-------+--------------+---------------------------------+---------------------------------------------+-----------------------------------------------+-------------------------------------+----------------
x3o3x3o    . . .     30 |    30     60 |    10     30    20    20      0 |     5    10      0     5     0     0      0 | 4032     *     *     *    *     *     *     * |   3    0     0     0    0    0    0 |  3   0    0   0
x3o3x . *c3o . .     30 |    30     60 |    10     30    20     0     20 |     5     0     10     0     5     0      0 |    * 12096     *     *    *     *     *     * |   1    2     0     0    0    0    0 |  2   1    0   0
x . x3o *c3o . .     12 |     6     24 |     0     12     0     8      8 |     0     4      4     0     0     2      0 |    *     * 30240     *    *     *     *     * |   1    0     2     0    0    0    0 |  2   0    1   0
x . x . *c3o3o .      8 |     4     12 |     0      6     0     0      8 |     0     0      4     0     0     0      2 |    *     *     * 60480    *     *     *     * |   0    1     1     1    0    0    0 |  1   1    1   0
. o3x3o *c3o . .     24 |     0     96 |     0      0    32    32     32 |     0     0      0     8     8     8      0 |    *     *     *     * 7560     *     *     * |   1    0     0     0    2    0    0 |  2   0    0   1
. o3x . *c3o3o .     10 |     0     30 |     0      0    10     0     20 |     0     0      0     0     5     0      5 |    *     *     *     *    * 24192     *     * |   0    1     0     0    1    1    0 |  1   1    0   1
. . x3o *c3o3o .     10 |     0     30 |     0      0     0    10     20 |     0     0      0     0     0     5      5 |    *     *     *     *    *     * 24192     * |   0    0     1     0    1    0    1 |  1   0    1   1
. . x . *c3o3o3o      5 |     0     10 |     0      0     0     0     10 |     0     0      0     0     0     0      5 |    *     *     *     *    *     *     * 24192 |   0    0     0     1    0    1    1 |  0   1    1   1
-----------------+-------+--------------+---------------------------------+---------------------------------------------+-----------------------------------------------+-------------------------------------+----------------
x3o3x3o *c3o . .    240 |   240    960 |    80    480   320   320    320 |    80   160    160    80    80    80      0 |   16    16    40     0   10     0     0     0 | 756    *     *     *    *    *    * |  2   0    0   0
x3o3x . *c3o3o .     60 |    60    180 |    20     90    60     0    120 |    15     0     60     0    30     0     30 |    0     6     0    15    0     6     0     0 |   * 4032     *     *    *    *    * |  1   1    0   0
x . x3o *c3o3o .     20 |    10     60 |     0     30     0    20     40 |     0    10     20     0     0    10     10 |    0     0     5     5    0     0     2     0 |   *    * 12096     *    *    *    * |  1   0    1   0
x . x . *c3o3o3o     10 |     5     20 |     0     10     0     0     20 |     0     0     10     0     0     0     10 |    0     0     0     5    0     0     0     2 |   *    *     * 12096    *    *    * |  0   1    1   0
. o3x3o *c3o3o .     80 |     0    480 |     0      0   160   160    320 |     0     0      0    40    80    80     80 |    0     0     0     0   10    16    16     0 |   *    *     *     * 1512    *    * |  1   0    0   1
. o3x . *c3o3o3o     15 |     0     60 |     0      0    20     0     60 |     0     0      0     0    15     0     30 |    0     0     0     0    0     6     0     6 |   *    *     *     *    * 4032    * |  0   1    0   1
. . x3o *c3o3o3o     15 |     0     60 |     0      0     0    20     60 |     0     0      0     0     0    15     30 |    0     0     0     0    0     0     6     6 |   *    *     *     *    *    * 4032 |  0   0    1   1
-----------------+-------+--------------+---------------------------------+---------------------------------------------+-----------------------------------------------+-------------------------------------+----------------
x3o3x3o *c3o3o .   2160 |  2160  12960 |   720   6480  4320  4320   8640 |  1080  2160   4320  1080  2160  2160   2160 |  216   432  1080  1080  270   432   432     0 |  27   72   216     0   27    0    0 | 56   *    *   *
x3o3x . *c3o3o3o    105 |   105    420 |    35    210   140     0    420 |    35     0    210     0   105     0    210 |    0    21     0   105    0    42     0    42 |   0    7     0    21    0    7    0 |  * 576    *   *
x . x3o *c3o3o3o     30 |    15    120 |     0     60     0    40    120 |     0    20     60     0     0    30     60 |    0     0    15    30    0     0    12    12 |   0    0     6     6    0    0    2 |  *   * 2016   *
. o3x3o *c3o3o3o    240 |     0   1920 |     0      0   640   640   1920 |     0     0      0   160   480   480    960 |    0     0     0     0   60   192   192   192 |   0    0     0     0   12   32   32 |  *   *    * 126

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