Acronym potag Name prismatotruncated hexacontitetrapeton,runcitruncated hexacross Circumradius sqrt(15/2) = 2.738613 Coordinates (3/sqrt(2), sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0)   & all permutations, all changes of sign Externallinks

Incidence matrix according to Dynkin symbol

```x3x3o3x3o4o

. . . . . . | 2880 |    1    2     8 |   2    8   1    8    4    8 |   1    8    4    8   4    8    4   2 |   4    8   4   2   4   2   1 |  4   2  1  1
------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+-------------
x . . . . . |    2 | 1440    *     * |   2    8   0    0    0    0 |   1    8    4    8   0    0    0   0 |   4    8   4   2   0   0   0 |  4   2  1  0
. x . . . . |    2 |    * 2880     * |   1    0   1    4    0    0 |   1    4    0    0   4    4    0   0 |   4    4   0   0   4   1   0 |  4   1  0  1
. . . x . . |    2 |    *    * 11520 |   0    1   0    1    1    2 |   0    1    1    2   1    2    2   1 |   1    2   2   1   2   1   1 |  2   1  1  1
------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+-------------
x3x . . . . |    6 |    3    3     0 | 960    *   *    *    *    * |   1    4    0    0   0    0    0   0 |   4    4   0   0   0   0   0 |  4   1  0  0
x . . x . . |    4 |    2    0     2 |   * 5760   *    *    *    * |   0    1    1    2   0    0    0   0 |   1    2   2   1   0   0   0 |  2   1  1  0
. x3o . . . |    3 |    0    3     0 |   *    * 960    *    *    * |   1    0    0    0   4    0    0   0 |   4    0   0   0   4   0   0 |  4   0  0  1
. x . x . . |    4 |    0    2     2 |   *    *   * 5760    *    * |   0    1    0    0   1    2    0   0 |   1    2   0   0   2   1   0 |  2   1  0  1
. . o3x . . |    3 |    0    0     3 |   *    *   *    * 3840    * |   0    0    1    0   1    0    2   0 |   1    0   2   0   2   0   1 |  2   0  1  1
. . . x3o . |    3 |    0    0     3 |   *    *   *    *    * 7680 |   0    0    0    1   0    1    1   1 |   0    1   1   1   1   1   1 |  1   1  1  1
------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+-------------
x3x3o . . . ♦   12 |    6   12     0 |   4    0   4    0    0    0 | 240    *    *    *   *    *    *   * |   4    0   0   0   0   0   0 |  4   0  0  0
x3x . x . . ♦   12 |    6    6     6 |   2    3   0    3    0    0 |   * 1920    *    *   *    *    *   * |   1    2   0   0   0   0   0 |  2   1  0  0
x . o3x . . ♦    6 |    3    0     6 |   0    3   0    0    2    0 |   *    * 1920    *   *    *    *   * |   1    0   2   0   0   0   0 |  2   0  1  0
x . . x3o . ♦    6 |    3    0     6 |   0    3   0    0    0    2 |   *    *    * 3840   *    *    *   * |   0    1   1   1   0   0   0 |  1   1  1  0
. x3o3x . . ♦   12 |    0   12    12 |   0    0   4    6    4    0 |   *    *    *    * 960    *    *   * |   1    0   0   0   2   0   0 |  2   0  0  1
. x . x3o . ♦    6 |    0    3     6 |   0    0   0    3    0    2 |   *    *    *    *   * 3840    *   * |   0    1   0   0   1   1   0 |  1   1  0  1
. . o3x3o . ♦    6 |    0    0    12 |   0    0   0    0    4    4 |   *    *    *    *   *    * 1920   * |   0    0   1   0   1   0   1 |  1   0  1  1
. . . x3o4o ♦    6 |    0    0    12 |   0    0   0    0    0    8 |   *    *    *    *   *    *    * 960 |   0    0   0   1   0   1   1 |  0   1  1  1
------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+-------------
x3x3o3x . . ♦   60 |   30   60    60 |  20   30  20   30   20    0 |   5   10   10    0   5    0    0   0 | 192    *   *   *   *   *   * |  2   0  0  0
x3x . x3o . ♦   18 |    9    9    18 |   3    9   0    9    0    6 |   0    3    0    3   0    3    0   0 |   * 1280   *   *   *   *   * |  1   1  0  0
x . o3x3o . ♦   12 |    6    0    24 |   0   12   0    0    8    8 |   0    0    4    4   0    0    2   0 |   *    * 960   *   *   *   * |  1   0  1  0
x . . x3o4o ♦   12 |    6    0    24 |   0   12   0    0    0   16 |   0    0    0    8   0    0    0   2 |   *    *   * 480   *   *   * |  0   1  1  0
. x3o3x3o . ♦   30 |    0   30    60 |   0    0  10   30   20   20 |   0    0    0    0   5   10    5   0 |   *    *   *   * 384   *   * |  1   0  0  1
. x . x3o4o ♦   12 |    0    6    24 |   0    0   0   12    0   16 |   0    0    0    0   0    8    0   2 |   *    *   *   *   * 480   * |  0   1  0  1
. . o3x3o4o ♦   24 |    0    0    96 |   0    0   0    0   32   64 |   0    0    0    0   0    0   16   8 |   *    *   *   *   *   * 120 |  0   0  1  1
------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+-------------
x3x3o3x3o . ♦  180 |   90  180   360 |  60  180  60  180  120  120 |  15   60   60   60  30   60   30   0 |   6   20  15   0   6   0   0 | 64   *  *  *
x3x . x3o4o ♦   36 |   18   18    72 |   6   36   0   36    0   48 |   0   12    0   24   0   24    0   6 |   0    8   0   3   0   3   0 |  * 160  *  *
x . o3x3o4o ♦   48 |   24    0   192 |   0   96   0    0   64  128 |   0    0   32   64   0    0   32  16 |   0    0  16   8   0   0   2 |  *   * 60  *
. x3o3x3o4o ♦  240 |    0  240   960 |   0    0  80  480  320  640 |   0    0    0    0  80  320  160  80 |   0    0   0   0  32  40  10 |  *   *  * 12
```

```x3x3o3x3o4/3o

. . . . .   . | 2880 |    1    2     8 |   2    8   1    8    4    8 |   1    8    4    8   4    8    4   2 |   4    8   4   2   4   2   1 |  4   2  1  1
--------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+-------------
x . . . .   . |    2 | 1440    *     * |   2    8   0    0    0    0 |   1    8    4    8   0    0    0   0 |   4    8   4   2   0   0   0 |  4   2  1  0
. x . . .   . |    2 |    * 2880     * |   1    0   1    4    0    0 |   1    4    0    0   4    4    0   0 |   4    4   0   0   4   1   0 |  4   1  0  1
. . . x .   . |    2 |    *    * 11520 |   0    1   0    1    1    2 |   0    1    1    2   1    2    2   1 |   1    2   2   1   2   1   1 |  2   1  1  1
--------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+-------------
x3x . . .   . |    6 |    3    3     0 | 960    *   *    *    *    * |   1    4    0    0   0    0    0   0 |   4    4   0   0   0   0   0 |  4   1  0  0
x . . x .   . |    4 |    2    0     2 |   * 5760   *    *    *    * |   0    1    1    2   0    0    0   0 |   1    2   2   1   0   0   0 |  2   1  1  0
. x3o . .   . |    3 |    0    3     0 |   *    * 960    *    *    * |   1    0    0    0   4    0    0   0 |   4    0   0   0   4   0   0 |  4   0  0  1
. x . x .   . |    4 |    0    2     2 |   *    *   * 5760    *    * |   0    1    0    0   1    2    0   0 |   1    2   0   0   2   1   0 |  2   1  0  1
. . o3x .   . |    3 |    0    0     3 |   *    *   *    * 3840    * |   0    0    1    0   1    0    2   0 |   1    0   2   0   2   0   1 |  2   0  1  1
. . . x3o   . |    3 |    0    0     3 |   *    *   *    *    * 7680 |   0    0    0    1   0    1    1   1 |   0    1   1   1   1   1   1 |  1   1  1  1
--------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+-------------
x3x3o . .   . ♦   12 |    6   12     0 |   4    0   4    0    0    0 | 240    *    *    *   *    *    *   * |   4    0   0   0   0   0   0 |  4   0  0  0
x3x . x .   . ♦   12 |    6    6     6 |   2    3   0    3    0    0 |   * 1920    *    *   *    *    *   * |   1    2   0   0   0   0   0 |  2   1  0  0
x . o3x .   . ♦    6 |    3    0     6 |   0    3   0    0    2    0 |   *    * 1920    *   *    *    *   * |   1    0   2   0   0   0   0 |  2   0  1  0
x . . x3o   . ♦    6 |    3    0     6 |   0    3   0    0    0    2 |   *    *    * 3840   *    *    *   * |   0    1   1   1   0   0   0 |  1   1  1  0
. x3o3x .   . ♦   12 |    0   12    12 |   0    0   4    6    4    0 |   *    *    *    * 960    *    *   * |   1    0   0   0   2   0   0 |  2   0  0  1
. x . x3o   . ♦    6 |    0    3     6 |   0    0   0    3    0    2 |   *    *    *    *   * 3840    *   * |   0    1   0   0   1   1   0 |  1   1  0  1
. . o3x3o   . ♦    6 |    0    0    12 |   0    0   0    0    4    4 |   *    *    *    *   *    * 1920   * |   0    0   1   0   1   0   1 |  1   0  1  1
. . . x3o4/3o ♦    6 |    0    0    12 |   0    0   0    0    0    8 |   *    *    *    *   *    *    * 960 |   0    0   0   1   0   1   1 |  0   1  1  1
--------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+-------------
x3x3o3x .   . ♦   60 |   30   60    60 |  20   30  20   30   20    0 |   5   10   10    0   5    0    0   0 | 192    *   *   *   *   *   * |  2   0  0  0
x3x . x3o   . ♦   18 |    9    9    18 |   3    9   0    9    0    6 |   0    3    0    3   0    3    0   0 |   * 1280   *   *   *   *   * |  1   1  0  0
x . o3x3o   . ♦   12 |    6    0    24 |   0   12   0    0    8    8 |   0    0    4    4   0    0    2   0 |   *    * 960   *   *   *   * |  1   0  1  0
x . . x3o4/3o ♦   12 |    6    0    24 |   0   12   0    0    0   16 |   0    0    0    8   0    0    0   2 |   *    *   * 480   *   *   * |  0   1  1  0
. x3o3x3o   . ♦   30 |    0   30    60 |   0    0  10   30   20   20 |   0    0    0    0   5   10    5   0 |   *    *   *   * 384   *   * |  1   0  0  1
. x . x3o4/3o ♦   12 |    0    6    24 |   0    0   0   12    0   16 |   0    0    0    0   0    8    0   2 |   *    *   *   *   * 480   * |  0   1  0  1
. . o3x3o4/3o ♦   24 |    0    0    96 |   0    0   0    0   32   64 |   0    0    0    0   0    0   16   8 |   *    *   *   *   *   * 120 |  0   0  1  1
--------------+------+-----------------+-----------------------------+--------------------------------------+------------------------------+-------------
x3x3o3x3o   . ♦  180 |   90  180   360 |  60  180  60  180  120  120 |  15   60   60   60  30   60   30   0 |   6   20  15   0   6   0   0 | 64   *  *  *
x3x . x3o4/3o ♦   36 |   18   18    72 |   6   36   0   36    0   48 |   0   12    0   24   0   24    0   6 |   0    8   0   3   0   3   0 |  * 160  *  *
x . o3x3o4/3o ♦   48 |   24    0   192 |   0   96   0    0   64  128 |   0    0   32   64   0    0   32  16 |   0    0  16   8   0   0   2 |  *   * 60  *
. x3o3x3o4/3o ♦  240 |    0  240   960 |   0    0  80  480  320  640 |   0    0    0    0  80  320  160  80 |   0    0   0   0  32  40  10 |  *   *  * 12
```

```o3x3o *b3o3x3x

. . .    . . . | 2880 |     8    2    1 |    4    4    4    8    8   1   2 |   2   2    4    4   2    4    4   4    4    8   1 |   1   2   2   2   2   4   2   2   4   4 |  1  1   2  2  2
---------------+------+-----------------+----------------------------------+---------------------------------------------------+-----------------------------------------+----------------
. x .    . . . |    2 | 11520    *    * |    1    1    1    1    1   0   0 |   1   1    1    1   1    1    1   1    1    1   0 |   1   1   1   1   1   1   1   1   1   1 |  1  1   1  1  1
. . .    . x . |    2 |     * 2880    * |    0    0    0    4    0   1   1 |   0   0    2    0   0    2    0   4    0    4   1 |   0   1   0   2   0   2   2   0   2   4 |  1  0   1  2  2
. . .    . . x |    2 |     *    * 1440 |    0    0    0    0    8   0   2 |   0   0    0    4   0    0    4   0    4    8   1 |   0   0   2   0   2   4   0   2   4   4 |  0  1   2  2  2
---------------+------+-----------------+----------------------------------+---------------------------------------------------+-----------------------------------------+----------------
o3x .    . . . |    3 |     3    0    0 | 3840    *    *    *    *   *   * |   1   1    1    1   0    0    0   0    0    0   0 |   1   1   1   1   1   1   0   0   0   0 |  1  1   1  1  0
. x3o    . . . |    3 |     3    0    0 |    * 3840    *    *    *   *   * |   1   0    0    0   1    1    1   0    0    0   0 |   1   1   1   0   0   0   1   1   1   0 |  1  1   1  0  1
. x . *b3o . . |    3 |     3    0    0 |    *    * 3840    *    *   *   * |   0   1    0    0   1    0    0   1    1    0   0 |   1   0   0   1   1   0   1   1   0   1 |  1  1   0  1  1
. x .    . x . |    4 |     2    2    0 |    *    *    * 5760    *   *   * |   0   0    1    0   0    1    0   1    0    1   0 |   0   1   0   1   0   1   1   0   1   1 |  1  0   1  1  1
. x .    . . x |    4 |     2    0    2 |    *    *    *    * 5760   *   * |   0   0    0    1   0    0    1   0    1    1   0 |   0   0   1   0   1   1   0   1   1   1 |  0  1   1  1  1
. . .    o3x . |    3 |     0    3    0 |    *    *    *    *    * 960   * |   0   0    0    0   0    0    0   4    0    0   1 |   0   0   0   2   0   0   2   0   0   4 |  1  0   0  2  2
. . .    . x3x |    6 |     0    3    3 |    *    *    *    *    *   * 960 |   0   0    0    0   0    0    0   0    0    4   1 |   0   0   0   0   0   2   0   0   2   4 |  0  0   1  2  2
---------------+------+-----------------+----------------------------------+---------------------------------------------------+-----------------------------------------+----------------
o3x3o    . . . ♦    6 |    12    0    0 |    4    4    0    0    0   0   0 | 960   *    *    *   *    *    *   *    *    *   * |   1   1   1   0   0   0   0   0   0   0 |  1  1   1  0  0
o3x . *b3o . . ♦    6 |    12    0    0 |    4    0    4    0    0   0   0 |   * 960    *    *   *    *    *   *    *    *   * |   1   0   0   1   1   0   0   0   0   0 |  1  1   0  1  0
o3x .    . x . ♦    6 |     6    3    0 |    2    0    0    3    0   0   0 |   *   * 1920    *   *    *    *   *    *    *   * |   0   1   0   1   0   1   0   0   0   0 |  1  0   1  1  0
o3x .    . . x ♦    6 |     6    0    3 |    2    0    0    0    3   0   0 |   *   *    * 1920   *    *    *   *    *    *   * |   0   0   1   0   1   1   0   0   0   0 |  0  1   1  1  0
. x3o *b3o . . ♦    6 |    12    0    0 |    0    4    4    0    0   0   0 |   *   *    *    * 960    *    *   *    *    *   * |   1   0   0   0   0   0   1   1   0   0 |  1  1   0  0  1
. x3o    . x . ♦    6 |     6    3    0 |    0    2    0    3    0   0   0 |   *   *    *    *   * 1920    *   *    *    *   * |   0   1   0   0   0   0   1   0   1   0 |  1  0   1  0  1
. x3o    . . x ♦    6 |     6    0    3 |    0    2    0    0    3   0   0 |   *   *    *    *   *    * 1920   *    *    *   * |   0   0   1   0   0   0   0   1   1   0 |  0  1   1  0  1
. x . *b3o3x . ♦   12 |    12   12    0 |    0    0    4    6    0   4   0 |   *   *    *    *   *    *    * 960    *    *   * |   0   0   0   1   0   0   1   0   0   1 |  1  0   0  1  1
. x . *b3o . x ♦    6 |     6    0    3 |    0    0    2    0    3   0   0 |   *   *    *    *   *    *    *   * 1920    *   * |   0   0   0   0   1   0   0   1   0   1 |  0  1   0  1  1
. x .    . x3x ♦   12 |     6    6    6 |    0    0    0    3    3   0   2 |   *   *    *    *   *    *    *   *    * 1920   * |   0   0   0   0   0   1   0   0   1   1 |  0  0   1  1  1
. . .    o3x3x ♦   12 |     0   12    6 |    0    0    0    0    0   4   4 |   *   *    *    *   *    *    *   *    *    * 240 |   0   0   0   0   0   0   0   0   0   4 |  0  0   0  2  2
---------------+------+-----------------+----------------------------------+---------------------------------------------------+-----------------------------------------+----------------
o3x3o *b3o . . ♦   24 |    96    0    0 |   32   32   32    0    0   0   0 |   8   8    0    0   8    0    0   0    0    0   0 | 120   *   *   *   *   *   *   *   *   * |  1  1   0  0  0
o3x3o    . x . ♦   12 |    24    6    0 |    8    8    0   12    0   0   0 |   2   0    4    0   0    4    0   0    0    0   0 |   * 480   *   *   *   *   *   *   *   * |  1  0   1  0  0
o3x3o    . . x ♦   12 |    24    0    6 |    8    8    0    0   12   0   0 |   2   0    0    4   0    0    4   0    0    0   0 |   *   * 480   *   *   *   *   *   *   * |  0  1   1  0  0
o3x . *b3o3x . ♦   30 |    60   30    0 |   20    0   20   30    0  10   0 |   0   5   10    0   0    0    0   5    0    0   0 |   *   *   * 192   *   *   *   *   *   * |  1  0   0  1  0
o3x . *b3o . x ♦   12 |    24    0    6 |    8    0    8    0   12   0   0 |   0   2    0    4   0    0    0   0    4    0   0 |   *   *   *   * 480   *   *   *   *   * |  0  1   0  1  0
o3x .    . x3x ♦   18 |    18    9    9 |    6    0    0    9    9   0   3 |   0   0    3    3   0    0    0   0    0    3   0 |   *   *   *   *   * 640   *   *   *   * |  0  0   1  1  0
. x3o *b3o3x . ♦   30 |    60   30    0 |    0   20   20   30    0  10   0 |   0   0    0    0   5   10    0   5    0    0   0 |   *   *   *   *   *   * 192   *   *   * |  1  0   0  0  1
. x3o *b3o . x ♦   12 |    24    0    6 |    0    8    8    0   12   0   0 |   0   0    0    0   2    0    4   0    4    0   0 |   *   *   *   *   *   *   * 480   *   * |  0  1   0  0  1
. x3o    . x3x ♦   18 |    18    9    9 |    0    6    0    9    9   0   3 |   0   0    0    0   0    3    3   0    0    3   0 |   *   *   *   *   *   *   *   * 640   * |  0  0   1  0  1
. x . *b3o3x3x ♦   60 |    60   60   30 |    0    0   20   30   30  20  20 |   0   0    0    0   0    0    0   5   10   10   5 |   *   *   *   *   *   *   *   *   * 192 |  0  0   0  1  1
---------------+------+-----------------+----------------------------------+---------------------------------------------------+-----------------------------------------+----------------
o3x3o *b3o3x . ♦  240 |   960  240    0 |  320  320  320  480    0  80   0 |  80  80  160    0  80  160    0  80    0    0   0 |  10  40   0  16   0   0  16   0   0   0 | 12  *   *  *  *
o3x3o *b3o . x ♦   48 |   192    0   24 |   64   64   64    0   96   0   0 |  16  16    0   32  16    0   32   0   32    0   0 |   2   0   8   0   8   0   0   8   0   0 |  * 60   *  *  *
o3x3o    . x3x ♦   36 |    72   18   18 |   24   24    0   36   36   0   6 |   6   0   12   12   0   12   12   0    0   12   0 |   0   3   3   0   0   4   0   0   4   0 |  *  * 160  *  *
o3x . *b3o3x3x ♦  180 |   360  180   90 |  120    0  120  180  180  60  60 |   0  30   60   60   0    0    0  30   60   60  15 |   0   0   0   6  15  20   0   0   0   6 |  *  *   * 32  *
. x3o *b3o3x3x ♦  180 |   360  180   90 |    0  120  120  180  180  60  60 |   0   0    0    0  30   60   60  30   60   60  15 |   0   0   0   0   0   0   6  15  20   6 |  *  *   *  * 32
```