Acronym puph
Name petaprismated hexadecaexon
Circumradius sqrt(3) = 1.732051

Incidence matrix according to Dynkin symbol

x3o3o3x3o3o3x

o3o3o3o3o3o3o   | 1120 |    6    9 |    6    36    9   18 |   2   18   18   18   36   36    6    9 |   6   6   18   36    9   18   36   12   6 |   6  12   6   6   18   9   6   9  1 |  2  6   6  1
----------------+------+-----------+----------------------+----------------------------------------+-------------------------------------------+-------------------------------------+-------------
x . . . . . . & |    2 | 3360    * |    2     6    3    0 |   1    6    9    3    6   12    0    0 |   3   4    6   18    6    3   12    2   0 |   3   8   5   2    9   6   1   3  0 |  1  4   5  1
. . . x . . .   |    2 |    * 5040 |    0     4    0    4 |   0    2    0    4    8    4    2    4 |   2   0    4    4    0    8    8    4   4 |   4   4   0   2    4   1   4   4  1 |  2  4   2  0
----------------+------+-----------+----------------------+----------------------------------------+-------------------------------------------+-------------------------------------+-------------
x3o . . . . . & |    3 |    3    0 | 2240     *    *    * |   1    3    3    0    0    0    0    0 |   3   3    3    6    3    0    0    0   0 |   3   6   4   1    3   3   0   0  0 |  1  3   4  1
x . . x . . . & |    4 |    2    2 |    * 10080    *    * |   0    1    0    1    2    2    0    0 |   1   0    2    3    0    2    4    1   0 |   2   3   0   1    3   1   1   2  0 |  1  3   2  0
x . . . . . x   |    4 |    4    0 |    *     * 2520    * |   0    0    4    0    0    4    0    0 |   0   2    0    8    4    0    4    0   0 |   0   4   4   0    4   4   0   1  0 |  0  2   4  1
. . o3x . . . & |    3 |    0    3 |    *     *    * 6720 |   0    0    0    1    2    0    1    2 |   1   0    1    0    0    4    2    2   3 |   3   2   0   1    1   0   3   2  1 |  2  3   1  0
----------------+------+-----------+----------------------+----------------------------------------+-------------------------------------------+-------------------------------------+-------------
x3o3o . . . . &     4 |    6    0 |    4     0    0    0 | 560    *    *    *    *    *    *    * |   3   3    0    0    0    0    0    0   0 |   3   6   3   0    0   0   0   0  0 |  1  3   3  1
x3o . x . . . &     6 |    6    3 |    2     3    0    0 |   * 3360    *    *    *    *    *    * |   1   0    2    2    0    0    0    0   0 |   2   2   0   1    2   1   0   0  0 |  1  2   2  0
x3o . . . . x &     6 |    9    0 |    2     0    3    0 |   *    * 3360    *    *    *    *    * |   0   1    0    2    2    0    0    0   0 |   0   2   3   0    1   2   0   0  0 |  0  1   3  1
x . o3x . . . &     6 |    3    6 |    0     3    0    2 |   *    *    * 3360    *    *    *    * |   1   0    0    0    0    2    2    0   0 |   2   2   0   0    1   0   1   2  0 |  1  3   1  0
x . . x3o . . &     6 |    3    6 |    0     3    0    2 |   *    *    *    * 6720    *    *    * |   0   0    1    0    0    1    1    1   0 |   1   1   0   1    1   0   1   1  0 |  1  2   1  0
x . . x . . x       8 |    8    4 |    0     4    2    0 |   *    *    *    *    * 5040    *    * |   0   0    0    2    0    0    2    0   0 |   0   2   0   0    2   1   0   1  0 |  0  2   2  0
. o3o3x . . . &     4 |    0    6 |    0     0    0    4 |   *    *    *    *    *    * 1680    * |   1   0    0    0    0    0    0    2   2 |   2   2   0   1    0   0   2   0  1 |  2  2   1  0
. . o3x3o . .       6 |    0   12 |    0     0    0    8 |   *    *    *    *    *    *    * 1680 |   0   0    0    0    0    2    0    0   2 |   2   0   0   0    0   0   2   1  1 |  2  2   0  0
----------------+------+-----------+----------------------+----------------------------------------+-------------------------------------------+-------------------------------------+-------------
x3o3o3x . . . &    20 |   30   30 |   20    30    0   20 |   5   10    0   10    0    0    5    0 | 336   *    *    *    *    *    *    *   * |   2   2   0   0    0   0   0   0  0 |  1  2   1  0
x3o3o . . . x &     8 |   16    0 |    8     0    6    0 |   2    0    4    0    0    0    0    0 |   * 840    *    *    *    *    *    *   * |   0   2   2   0    0   0   0   0  0 |  0  1   2  1
x3o . x3o . . &     9 |    9    9 |    3     9    0    3 |   0    3    0    0    3    0    0    0 |   *   * 2240    *    *    *    *    *   * |   1   0   0   1    1   0   0   0  0 |  1  1   1  0
x3o . x . . x &    12 |   18    6 |    4     9    6    0 |   0    2    2    0    0    3    0    0 |   *   *    * 3360    *    *    *    *   * |   0   1   0   0    1   1   0   0  0 |  0  1   2  0
x3o . . . o3x       9 |   18    0 |    6     0    9    0 |   0    0    6    0    0    0    0    0 |   *   *    *    * 1120    *    *    *   * |   0   0   2   0    0   1   0   0  0 |  0  0   2  1
x . o3x3o . . &    12 |    6   24 |    0    12    0   16 |   0    0    0    4    4    0    0    2 |   *   *    *    *    * 1680    *    *   * |   1   0   0   0    0   0   1   1  0 |  1  2   0  0
x . o3x . . x &    12 |   12   12 |    0    12    3    4 |   0    0    0    2    2    3    0    0 |   *   *    *    *    *    * 3360    *   * |   0   1   0   0    1   0   0   1  0 |  0  2   1  0
x . . x3o3o . &     8 |    4   12 |    0     6    0    8 |   0    0    0    0    4    0    2    0 |   *   *    *    *    *    *    * 1680   * |   0   1   0   1    0   0   1   0  0 |  1  1   1  0
. o3o3x3o . . &    10 |    0   30 |    0     0    0   30 |   0    0    0    0    0    0    5    5 |   *   *    *    *    *    *    *    * 672 |   1   0   0   0    0   0   1   0  1 |  2  1   0  0
----------------+------+-----------+----------------------+----------------------------------------+-------------------------------------------+-------------------------------------+-------------
x3o3o3x3o . . &    60 |   90  180 |   60   180    0  180 |  15   60    0   60   60    0   30   30 |   6   0   20    0    0   15    0    0   6 | 112   *   *   *    *   *   *   *  * |  1  1   0  0
x3o3o3x . . x &    40 |   80   60 |   40    90   30   40 |  10   20   20   20   20   30   10    0 |   2   5    0   10    0    0   10    5   0 |   * 336   *   *    *   *   *   *  * |  0  1   1  0
x3o3o . . o3x &    12 |   30    0 |   16     0   18    0 |   3    0   18    0    0    0    0    0 |   0   3    0    0    4    0    0    0   0 |   *   * 560   *    *   *   *   *  * |  0  0   1  1
x3o . x3o3o . &    12 |   12   18 |    4    18    0   12 |   0    6    0    0   12    0    3    0 |   0   0    4    0    0    0    0    3   0 |   *   *   * 560    *   *   *   *  * |  1  0   1  0
x3o . x3o . x &    18 |   27   18 |    6    27    9    6 |   0    6    3    3    6    9    0    0 |   0   0    2    3    0    0    3    0   0 |   *   *   *   * 1120   *   *   *  * |  0  1   1  0
x3o . x . o3x      18 |   36    9 |   12    18   18    0 |   0    6   12    0    0    9    0    0 |   0   0    0    6    2    0    0    0   0 |   *   *   *   *    * 560   *   *  * |  0  0   2  0
x . o3x3o3o . &    20 |   10   60 |    0    30    0   60 |   0    0    0   10   20    0   10   10 |   0   0    0    0    0    5    0    5   2 |   *   *   *   *    *   * 336   *  * |  1  1   0  0
x . o3x3o . x      24 |   24   48 |    0    48    6   32 |   0    0    0   16   16   12    0    4 |   0   0    0    0    0    4    8    0   0 |   *   *   *   *    *   *   * 420  * |  0  2   0  0
. o3o3x3o3o .      20 |    0   90 |    0     0    0  120 |   0    0    0    0    0    0   30   30 |   0   0    0    0    0    0    0    0  12 |   *   *   *   *    *   *   *   * 56 |  2  0   0  0
----------------+------+-----------+----------------------+----------------------------------------+-------------------------------------------+-------------------------------------+-------------
x3o3o3x3o3o . &   140 |  210  630 |  140   630    0  840 |  35  210    0  210  420    0  210  210 |  21   0  140    0    0  105    0  105  84 |   7   0   0  35    0   0  21   0  7 | 16  *   *  *
x3o3o3x3o . x &   120 |  240  360 |  120   540   90  360 |  30  120   60  180  240  180   60   60 |  12  15   40   60    0   60  120   30  12 |   2   6   0   0   20   0   6  15  0 |  * 56   *  *
x3o3o3x . o3x &    60 |  150   90 |   80   180   90   60 |  15   60   90   30   60   90   15    0 |   3  15   20   60   20    0   30   15   0 |   0   3   5   5   10  10   0   0  0 |  *  * 112  *
x3o3o . o3o3x      16 |   48    0 |   32     0   36    0 |   8    0   48    0    0    0    0    0 |   0  12    0    0   16    0    0    0   0 |   0   0   8   0    0   0   0   0  0 |  *  *   * 70

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