Acronym prom (old: kaptom)
Name prismatorhombated pentacontitetrapeton,
(heptacontidiprismatotruncated pentacontitetrapeton)
Circumradius sqrt(21) = 4.582576
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Incidence matrix according to Dynkin symbol

x3x3o3x3x *c3x

. . . . .    .    | 25920 |     2     4     2 |     4     4    1     4     2     2     4    1 |    2    4    4    4    2    2     4    2    1    2    2 |   2    2   2    2    4    4    2    1   1 |  1  2   2   2
------------------+-------+-------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------+--------------
x . . . .    .  & |     2 | 25920     *     * |     2     2    1     2     0     0     0    0 |    1    2    4    2    1    1     2    2    0    0    0 |   1    2   1    2    2    4    1    1   0 |  1  1   2   2
. x . . .    .  & |     2 |     * 51840     * |     1     1    0     0     1     1     1    0 |    1    2    1    1    1    0     1    0    1    1    1 |   2    1   1    1    2    1    1    0   1 |  1  2   1   1
. . . . .    x    |     2 |     *     * 25920 |     0     0    0     2     0     0     2    1 |    0    0    0    2    0    2     2    1    0    2    1 |   0    0   2    0    2    2    2    1   1 |  0  2   2   1
------------------+-------+-------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------+--------------
x3x . . .    .  & |     6 |     3     3     0 | 17280     *    *     *     *     *     *    * |    1    1    1    1    0    0     0    0    0    0    0 |   1    1   1    1    1    1    0    0   0 |  1  1   1   1
x . . x .    .  & |     4 |     2     2     0 |     * 25920    *     *     *     *     *    * |    0    1    1    0    1    0     1    0    0    0    0 |   1    1   0    1    1    1    1    0   0 |  1  1   1   1
x . . . x    .    |     4 |     4     0     0 |     *     * 6480     *     *     *     *    * |    0    0    4    0    0    0     0    2    0    0    0 |   0    2   0    2    0    4    0    1   0 |  1  0   2   2
x . . . .    x  & |     4 |     2     0     2 |     *     *    * 25920     *     *     *    * |    0    0    0    1    0    1     1    1    0    0    0 |   0    0   1    0    1    2    1    1   0 |  0  1   2   1
. x3o . .    .  & |     3 |     0     3     0 |     *     *    *     * 17280     *     *    * |    1    0    0    0    1    0     0    0    1    1    0 |   2    1   1    0    0    0    1    0   1 |  1  2   1   0
. x . x .    .    |     4 |     0     4     0 |     *     *    *     *     * 12960     *    * |    0    2    0    0    0    0     0    0    1    0    1 |   2    0   0    1    2    0    0    0   1 |  1  2   0   1
. x . . .    x  & |     4 |     0     2     2 |     *     *    *     *     *     * 25920    * |    0    0    0    1    0    0     1    0    0    1    1 |   0    0   1    0    2    1    1    0   1 |  0  2   1   1
. . o . . *c3x    |     3 |     0     0     3 |     *     *    *     *     *     *     * 8640 |    0    0    0    0    0    2     0    0    0    2    0 |   0    0   2    0    0    0    2    1   1 |  0  2   2   0
------------------+-------+-------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------+--------------
x3x3o . .    .  &     12 |     6    12     0 |     4     0    0     0     4     0     0    0 | 4320    *    *    *    *    *     *    *    *    *    * |   1    1   1    0    0    0    0    0   0 |  1  1   1   0
x3x . x .    .  &     12 |     6    12     0 |     2     3    0     0     0     3     0    0 |    * 8640    *    *    *    *     *    *    *    *    * |   1    0   0    1    1    0    0    0   0 |  1  1   0   1
x3x . . x    .  &     12 |    12     6     0 |     2     3    3     0     0     0     0    0 |    *    * 8640    *    *    *     *    *    *    *    * |   0    1   0    1    0    1    0    0   0 |  1  0   1   1
x3x . . .    x  &     12 |     6     6     6 |     2     0    0     3     0     0     3    0 |    *    *    * 8640    *    *     *    *    *    *    * |   0    0   1    0    1    1    0    0   0 |  0  1   1   1
x . o3x .    .  &      6 |     3     6     0 |     0     3    0     0     2     0     0    0 |    *    *    *    * 8640    *     *    *    *    *    * |   1    1   0    0    0    0    1    0   0 |  1  1   1   0
x . o . . *c3x  &      6 |     3     0     6 |     0     0    0     3     0     0     0    2 |    *    *    *    *    * 8640     *    *    *    *    * |   0    0   1    0    0    0    1    1   0 |  0  1   2   0
x . . x .    x  &      8 |     4     4     4 |     0     2    0     2     0     0     2    0 |    *    *    *    *    *    * 12960    *    *    *    * |   0    0   0    0    1    1    1    0   0 |  0  1   1   1
x . . . x    x         8 |     8     0     4 |     0     0    2     4     0     0     0    0 |    *    *    *    *    *    *     * 6480    *    *    * |   0    0   0    0    0    2    0    1   0 |  0  0   2   1
. x3o3x .    .        12 |     0    24     0 |     0     0    0     0     8     6     0    0 |    *    *    *    *    *    *     *    * 2160    *    * |   2    0   0    0    0    0    0    0   1 |  1  2   0   0
. x3o . . *c3x  &     12 |     0    12    12 |     0     0    0     0     4     0     6    4 |    *    *    *    *    *    *     *    *    * 4320    * |   0    0   1    0    0    0    1    0   1 |  0  2   1   0
. x . x .    x         8 |     0     8     4 |     0     0    0     0     0     2     4    0 |    *    *    *    *    *    *     *    *    *    * 6480 |   0    0   0    0    2    0    0    0   1 |  0  2   0   1
------------------+-------+-------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------+--------------
x3x3o3x .    .  &     60 |    30   120     0 |    20    30    0     0    40    30     0    0 |    5   10    0    0   10    0     0    0    5    0    0 | 864    *   *    *    *    *    *    *   * |  1  1   0   0
x3x3o . x    .  &     24 |    24    24     0 |     8    12    6     0     8     0     0    0 |    2    0    4    0    4    0     0    0    0    0    0 |   * 2160   *    *    *    *    *    *   * |  1  0   1   0
x3x3o . . *c3x  &     60 |    30    60    60 |    20     0    0    30    20     0    30   20 |    5    0    0   10    0   10     0    0    0    5    0 |   *    * 864    *    *    *    *    *   * |  0  1   1   0
x3x . x3x    .        36 |    36    36     0 |    12    18    9     0     0     9     0    0 |    0    6    6    0    0    0     0    0    0    0    0 |   *    *   * 1440    *    *    *    *   * |  1  0   0   1
x3x . x .    x  &     24 |    12    24    12 |     4     6    0     6     0     6    12    0 |    0    2    0    2    0    0     3    0    0    0    3 |   *    *   *    * 4320    *    *    *   * |  0  1   0   1
x3x . . x    x  &     24 |    24    12    12 |     4     6    6    12     0     0     6    0 |    0    0    2    2    0    0     3    3    0    0    0 |   *    *   *    *    * 4320    *    *   * |  0  0   1   1
x . o3x . *c3x  &     24 |    12    24    24 |     0    12    0    12     8     0    12    8 |    0    0    0    0    4    4     6    0    0    2    0 |   *    *   *    *    *    * 2160    *   * |  0  1   0   1
x . o . x *c3x        12 |    12     0    12 |     0     0    3    12     0     0     0    4 |    0    0    0    0    0    4     0    3    0    0    0 |   *    *   *    *    *    *    * 2160   * |  0  0   2   0
. x3o3x . *c3x        96 |     0   192    96 |     0     0    0     0    64    48    96   32 |    0    0    0    0    0    0     0    0    8   16   24 |   *    *   *    *    *    *    *    * 270 |  0  2   0   0
------------------+-------+-------------------+-----------------------------------------------+---------------------------------------------------------+-------------------------------------------+--------------
x3x3o3x3x    .       360 |   360   720     0 |   240   360   90     0   240   180     0    0 |   60  120  120    0  120    0     0    0   30    0    0 |  12   30   0   20    0    0    0    0   0 | 72  *   *   *
x3x3o3x . *c3x  &    960 |   480  1920   960 |   320   480    0   480   640   480   960  320 |   80  160    0  160  160  160   240    0   80  160  240 |  16    0  16    0   80    0   40    0  10 |  * 54   *   *
x3x3o . x *c3x  &    120 |   120   120   120 |    40    60   30   120    40     0    60   40 |   10    0   20   20   20   40    30   30    0   10    0 |   0    5   2    0    0   10    5   10   0 |  *  * 432   *
x3x . x3x    x        72 |    72    72    36 |    24    36   18    36     0    18    36    0 |    0   12   12   12    0    0    18    9    0    0    9 |   0    0   0    2    6    6    0    0   0 |  *  *   * 720

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