Acronym patom (old: kaprom)
Name prismatotruncated pentacontitetrapeton,
runcitruncated pentacontitetrapeton,
(heptacontidiprismatorhombated pentacontitetrapeton)
Circumradius sqrt(15) = 3.872983
External
links
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Incidence matrix according to Dynkin symbol

x3o3x3o3x *c3x

o3o3o3o3o *c3o    | 12960 |     4     4    1 |    2     8     4     4     4    4 |    4    4    2    4    4    8    4    1    4 |   2    4   4    1    4    4    4   1 |  1  2   4   1
------------------+-------+------------------+-----------------------------------+----------------------------------------------+--------------------------------------+--------------
x . . . .    .  & |     2 | 25920     *    * |    1     2     2     1     0    0 |    2    3    1    1    2    2    2    0    0 |   1    3   2    1    3    1    2   0 |  1  1   3   1
. . x . .    .    |     2 |     * 25920    * |    0     2     0     0     2    1 |    2    0    0    2    1    2    0    1    2 |   2    2   2    0    0    2    1   1 |  1  2   2   0
. . . . .    x    |     2 |     *     * 6480 |    0     0     0     4     0    4 |    0    0    2    0    0    8    4    0    4 |   0    0   4    0    4    4    4   1 |  0  2   4   1
------------------+-------+------------------+-----------------------------------+----------------------------------------------+--------------------------------------+--------------
x3o . . .    .  & |     3 |     3     0    0 | 8640     *     *     *     *    * |    2    2    1    0    0    0    0    0    0 |   1    2   2    1    2    0    0   0 |  1  1   2   1
x . x . .    .  & |     4 |     2     2    0 |    * 25920     *     *     *    * |    1    0    0    1    1    1    0    0    0 |   1    2   1    0    0    1    1   0 |  1  1   2   0
x . . . x    .    |     4 |     4     0    0 |    *     * 12960     *     *    * |    0    2    0    0    1    0    1    0    0 |   0    2   0    1    2    0    1   0 |  1  0   2   1
x . . . .    x  & |     4 |     2     0    2 |    *     *     * 12960     *    * |    0    0    1    0    0    2    2    0    0 |   0    0   2    0    3    1    2   0 |  0  1   3   1
. o3x . .    .  & |     3 |     0     3    0 |    *     *     *     * 17280    * |    1    0    0    1    0    0    0    1    1 |   2    1   1    0    0    1    0   1 |  1  2   1   0
. . x . . *c3x    |     6 |     0     3    3 |    *     *     *     *     * 8640 |    0    0    0    0    0    2    0    0    2 |   0    0   2    0    0    2    1   1 |  0  2   2   0
------------------+-------+------------------+-----------------------------------+----------------------------------------------+--------------------------------------+--------------
x3o3x . .    .  &     12 |    12    12    0 |    4     6     0     0     4    0 | 4320    *    *    *    *    *    *    *    * |   1    1   1    0    0    0    0   0 |  1  1   1   0
x3o . . x    .  &      6 |     9     0    0 |    2     0     3     0     0    0 |    * 8640    *    *    *    *    *    *    * |   0    1   0    1    1    0    0   0 |  1  0   1   1
x3o . . .    x  &      6 |     6     0    3 |    2     0     0     3     0    0 |    *    * 4320    *    *    *    *    *    * |   0    0   2    0    2    0    0   0 |  0  1   2   1
x . x3o .    .  &      6 |     3     6    0 |    0     3     0     0     2    0 |    *    *    * 8640    *    *    *    *    * |   1    1   0    0    0    1    0   0 |  1  1   1   0
x . x . x    .         8 |     8     4    0 |    0     4     2     0     0    0 |    *    *    *    * 6480    *    *    *    * |   0    2   0    0    0    0    1   0 |  1  0   2   0
x . x . . *c3x  &     12 |     6     6    6 |    0     3     0     3     0    2 |    *    *    *    *    * 8640    *    *    * |   0    0   1    0    0    1    1   0 |  0  1   2   0
x . . . x    x         8 |     8     0    4 |    0     0     2     4     0    0 |    *    *    *    *    *    * 6480    *    * |   0    0   0    0    2    0    1   0 |  0  0   2   1
. o3x3o .    .         6 |     0    12    0 |    0     0     0     0     8    0 |    *    *    *    *    *    *    * 2160    * |   2    0   0    0    0    0    0   1 |  1  2   0   0
. o3x . . *c3x  &     12 |     0    12    6 |    0     0     0     0     4    4 |    *    *    *    *    *    *    *    * 4320 |   0    0   1    0    0    1    0   1 |  0  2   1   0
------------------+-------+------------------+-----------------------------------+----------------------------------------------+--------------------------------------+--------------
x3o3x3o .    .  &     30 |    30    60    0 |   10    30     0     0    40    0 |    5    0    0   10    0    0    0    5    0 | 864    *   *    *    *    *    *   * |  1  1   0   0
x3o3x . x    .  &     24 |    36    24    0 |    8    24    12     0     8    0 |    2    4    0    4    6    0    0    0    0 |   * 2160   *    *    *    *    *   * |  1  0   1   0
x3o3x . . *c3x  &     60 |    60    60   30 |   20    30     0    30    20   20 |    5    0   10    0    0   10    0    0    5 |   *    * 864    *    *    *    *   * |  0  1   1   0
x3o . o3x    .         9 |    18     0    0 |    6     0     9     0     0    0 |    0    6    0    0    0    0    0    0    0 |   *    *   * 1440    *    *    *   * |  1  0   0   1
x3o . . x    x  &     12 |    18     0    6 |    4     0     6     9     0    0 |    0    2    2    0    0    0    3    0    0 |   *    *   *    * 4320    *    *   * |  0  0   1   1
x . x3o . *c3x  &     24 |    12    24   12 |    0    12     0     6     8    8 |    0    0    0    4    0    4    0    0    2 |   *    *   *    *    * 2160    *   * |  0  1   1   0
x . x . x *c3x        24 |    24    12   12 |    0    12     6    12     0    4 |    0    0    0    0    3    4    3    0    0 |   *    *   *    *    *    * 2160   * |  0  0   2   0
. o3x3o . *c3x        48 |     0    96   24 |    0     0     0     0    64   32 |    0    0    0    0    0    0    0    8   16 |   *    *   *    *    *    *    * 270 |  0  2   0   0
------------------+-------+------------------+-----------------------------------+----------------------------------------------+--------------------------------------+--------------
x3o3x3o3x    .       180 |   360   360    0 |  120   360   180     0   240    0 |   60  120    0  120   90    0    0   30    0 |  12   30   0   20    0    0    0   0 | 72  *   *   *
x3o3x3o . *c3x  &    480 |   480   960  240 |  160   480     0   240   640  320 |   80    0   80  160    0  160    0   80  160 |  16    0  16    0    0   40    0  10 |  * 54   *   *
x3o3x . x *c3x  &    120 |   180   120   60 |   40   120    60    90    40   40 |   10   20   20   20   30   40   30    0   10 |   0    5   2    0   10    5   10   0 |  *  * 432   *
x3o . o3x    x        18 |    36     0    9 |   12     0    18    18     0    0 |    0   12    6    0    0    0    9    0    0 |   0    0   0    2    6    0    0   0 |  *  *   * 720

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