Acronym shilq
Name small demified pentacontihexapentacosiheptacontihexaexon
Circumradius sqrt(19)/2 = 2.179449
Face vector 4032, 42336, 131040, 151200, 78120, 22428, 2774
Confer
general polytopal classes:
Wythoffian polyexa  

Incidence matrix according to Dynkin symbol

x3o3o3x *c3o3o3o

. . . .    . . . | 4032 |     6    15 |    15    30    60 |    20    15    60    20    60 |   20    15    60   15    30 |  15    6    30    6    6 |  6   1    6   1
-----------------+------+-------------+-------------------+-------------------------------+-----------------------------+--------------------------+----------------
x . . .    . . . |    2 | 12096     * |     5     5     0 |    10     5    10     0     0 |   10    10    10    0     0 |  10    5     5    0    0 |  5   1    1   0
. . . x    . . . |    2 |     * 30240 |     0     2     8 |     0     1     8     4    12 |    4     0    12    6     8 |   6    0     8    4    2 |  4   0    2   1
-----------------+------+-------------+-------------------+-------------------------------+-----------------------------+--------------------------+----------------
x3o . .    . . . |    3 |     3     0 | 20160     *     * |     4     1     0     0     0 |    4     6     0    0     0 |   6    4     0    0    0 |  4   1    0   0
x . . x    . . . |    4 |     2     2 |     * 30240     * |     0     1     4     0     0 |    4     0     6    0     0 |   6    0     4    0    0 |  4   0    1   0
. . o3x    . . . |    3 |     0     3 |     *     * 80640 |     0     0     1     1     3 |    1     0     3    3     3 |   3    0     3    3    1 |  3   0    1   1
-----------------+------+-------------+-------------------+-------------------------------+-----------------------------+--------------------------+----------------
x3o3o .    . . .     4 |     6     0 |     4     0     0 | 20160     *     *     *     * |    1     3     0    0     0 |   3    3     0    0    0 |  3   1    0   0
x3o . x    . . .     6 |     6     3 |     2     3     0 |     * 10080     *     *     *     4     0     0    0     0 |   6    0     0    0    0 |  4   0    0   0
x . o3x    . . .     6 |     3     6 |     0     3     2 |     *     * 40320     *     * |    1     0     3    0     0 |   3    0     3    0    0 |  3   0    1   0
. o3o3x    . . .     4 |     0     6 |     0     0     4 |     *     *     * 20160     * |    1     0     0    3     0 |   3    0     0    3    0 |  3   0    0   1
. . o3x *c3o . .     4 |     0     6 |     0     0     4 |     *     *     *     * 60480 |    0     0     1    1     2 |   1    0     2    2    1 |  2   0    1   1
-----------------+------+-------------+-------------------+-------------------------------+-----------------------------+--------------------------+----------------
x3o3o3x    . . .    20 |    30    30 |    20    30    20 |     5    10    10     5     0 | 4032     *     *    *     * |   3    0     0    0    0 |  3   0    0   0
x3o3o . *c3o . .     5 |    10     0 |    10     0     0 |     5     0     0     0     0 |    * 12096     *    *     * |   1    2     0    0    0 |  2   1    0   0
x . o3x *c3o . .     8 |     4    12 |     0     6     8 |     0     0     4     0     2 |    *     * 30240    *     * |   1    0     2    0    0 |  2   0    1   0
. o3o3x *c3o . .     8 |     0    24 |     0     0    32 |     0     0     0     8     8 |    *     *     * 7560     * |   1    0     0    2    0 |  2   0    0   1
. . o3x *c3o3o .     5 |     0    10 |     0     0    10 |     0     0     0     0     5 |    *     *     *    * 24192 |   0    0     1    1    1 |  1   0    1   1
-----------------+------+-------------+-------------------+-------------------------------+-----------------------------+--------------------------+----------------
x3o3o3x *c3o . .    80 |   160   240 |   160   240   320 |    80    80   160    80    80 |   16    16    40   10     0 | 756    *     *    *    * |  2   0    0   0
x3o3o . *c3o3o .     6 |    15     0 |    20     0     0 |    15     0     0     0     0 |    0     6     0    0     0 |   * 4032     *    *    * |  1   1    0   0
x . o3x *c3o3o .    10 |     5    20 |     0    10    20 |     0     0    10     0    10 |    0     0     5    0     2 |   *    * 12096    *    * |  1   0    1   0
. o3o3x *c3o3o .    16 |     0    80 |     0     0   160 |     0     0     0    40    80 |    0     0     0   10    16 |   *    *     * 1512    * |  1   0    0   1
. . o3x *c3o3o3o     6 |     0    15 |     0     0    20 |     0     0     0     0    15 |    0     0     0    0     6 |   *    *     *    * 4032 |  0   0    1   1
-----------------+------+-------------+-------------------+-------------------------------+-----------------------------+--------------------------+----------------
x3o3o3x *c3o3o .   432 |  1080  2160 |  1440  2160  4320 |  1080   720  2160  1080  2160 |  216   432  1080  270   432 |  27   72   216   27    0 | 56   *    *   *
x3o3o . *c3o3o3o     7 |    21     0 |    35     0     0 |    35     0     0     0     0 |    0    21     0    0     0 |   0    7     0    0    0 |  * 576    *   *
x . o3x *c3o3o3o    12 |     6    30 |     0    15    40 |     0     0    20     0    30 |    0     0    15    0    12 |   0    0     6    0    2 |  *   * 2016   *
. o3o3x *c3o3o3o    32 |     0   240 |     0     0   640 |     0     0     0   160   480 |    0     0     0   60   192 |   0    0     0   12   32 |  *   *    * 126

© 2004-2024
top of page