Acronym rolin (old: lanq)
Name rectified pentacontihexahecatonicosihexaexon,
pentacontihexahecatonicosihexapentacosiheptacontihexaexon,
Gosset polytope 03,2,1
Circumradius sqrt(6) = 2.449490
Confer
general polytopal classes:
Coxeter-Elte-Gosset polytopes  
External
links
wikipedia  

Incidence matrix according to Dynkin symbol

o3o3x3o *c3o3o3o

. . . .    . . . | 10080      24 |    24    12     36 |     8    12    36    18    24 |    4    12   18    24    12     6 |   6    8   12    6    3 |  4   2   3
-----------------+-------+--------+--------------------+-------------------------------+-----------------------------------+-------------------------+-----------
. . x .    . . . |     2 | 120960 |     2     1      3 |     1     2     6     3     3 |    1     3    6     6     3     1 |   3    3    6    2    1 |  3   1   2
-----------------+-------+--------+--------------------+-------------------------------+-----------------------------------+-------------------------+-----------
. o3x .    . . . |     3 |      3 | 80640     *      * |     1     1     3     0     0 |    1     3    3     3     0     0 |   3    3    3    1    0 |  3   1   1
. . x3o    . . . |     3 |      3 |     * 40320      * |     0     2     0     3     0 |    1     0    6     0     3     0 |   3    0    6    0    1 |  3   0   2
. . x . *c3o . . |     3 |      3 |     *     * 120960 |     0     0     2     1     2 |    0     1    2     4     2     1 |   1    2    4    2    1 |  2   1   2
-----------------+-------+--------+--------------------+-------------------------------+-----------------------------------+-------------------------+-----------
o3o3x .    . . .      4 |      6 |     4     0      0 | 20160     *     *     *     * |    1     3    0     0     0     0 |   3    3    0    0    0 |  3   1   0
. o3x3o    . . .      6 |     12 |     4     4      0 |     * 20160     *     *     * |    1     0    3     0     0     0 |   3    0    3    0    0 |  3   0   1
. o3x . *c3o . .      6 |     12 |     4     0      4 |     *     * 60480     *     * |    0     1    1     2     0     0 |   1    2    2    1    0 |  2   1   1
. . x3o *c3o . .      6 |     12 |     0     4      4 |     *     *     * 30240     * |    0     0    2     0     2     0 |   1    0    4    0    1 |  2   0   2
. . x . *c3o3o .      4 |      6 |     0     0      4 |     *     *     *     * 60480 |    0     0    0     2     1     1 |   0    1    2    2    1 |  1   1   2
-----------------+-------+--------+--------------------+-------------------------------+-----------------------------------+-------------------------+-----------
o3o3x3o    . . .     10 |     30 |    20    10      0 |     5     5     0     0     0 | 4032     *    *     *     *     * |   3    0    0    0    0 |  3   0   0
o3o3x . *c3o . .     10 |     30 |    20     0     10 |     5     0     5     0     0 |    * 12096    *     *     *     * |   1    2    0    0    0 |  2   1   0
. o3x3o *c3o . .     24 |     96 |    32    32     32 |     0     8     8     8     0 |    *     * 7560     *     *     * |   1    0    2    0    0 |  2   0   1
. o3x . *c3o3o .     10 |     30 |    10     0     20 |     0     0     5     0     5 |    *     *    * 24192     *     * |   0    1    1    1    0 |  1   1   1
. . x3o *c3o3o .     10 |     30 |     0    10     20 |     0     0     0     5     5 |    *     *    *     * 12096     * |   0    0    2    0    1 |  1   0   2
. . x . *c3o3o3o      5 |     10 |     0     0     10 |     0     0     0     0     5 |    *     *    *     *     * 12096 |   0    0    0    2    1 |  0   1   2
-----------------+-------+--------+--------------------+-------------------------------+-----------------------------------+-------------------------+-----------
o3o3x3o *c3o . .     80 |    480 |   320   160    160 |    80    80    80    40     0 |   16    16   10     0     0     0 | 756    *    *    *    * |  2   0   0
o3o3x . *c3o3o .     20 |     90 |    60     0     60 |    15     0    30     0    15 |    0     6    0     6     0     0 |   * 4032    *    *    * |  1   1   0
. o3x3o *c3o3o .     80 |    480 |   160   160    320 |     0    40    80    80    80 |    0     0   10    16    16     0 |   *    * 1512    *    * |  1   0   1
. o3x . *c3o3o3o     15 |     60 |    20     0     60 |     0     0    15     0    30 |    0     0    0     6     0     6 |   *    *    * 4032    * |  0   1   1
. . x3o *c3o3o3o     15 |     60 |     0    20     60 |     0     0     0    15    30 |    0     0    0     0     6     6 |   *    *    *    * 2016 |  0   0   2
-----------------+-------+--------+--------------------+-------------------------------+-----------------------------------+-------------------------+-----------
o3o3x3o *c3o3o .    720 |   6480 |  4320  2160   4320 |  1080  1080  2160  1080  1080 |  216   432  270   432   216     0 |  27   72   27    0    0 | 56   *   *
o3o3x . *c3o3o3o     35 |    210 |   140     0    210 |    35     0   105     0   105 |    0    21    0    42     0    21 |   0    7    0    7    0 |  * 576   *
. o3x3o *c3o3o3o    240 |   1920 |   640   640   1920 |     0   160   480   480   960 |    0     0   60   192   192   192 |   0    0   12   32   32 |  *   * 126

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