Acronym topag (old: stopag)
Name teriprismated hexacontatetrapeton,
penticantellated hexeract
Circumradius sqrt[(10+5 sqrt(2))/2] = 2.921564
Coordinates ((1+2 sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)   & all permutations, all changes of sign
External
links
wikipedia

Incidence matrix according to Dynkin symbol

x3o3o3x3o4x

. . . . . . | 3840 |    3     6    2 |    3    12    6    6    3    6   1 |   1    6    6    6    6   12    3    2    3    6   3 |   2   2    3    6   3   3    6   6   1   2   3 |  1   2   1   3  3  1
------------+------+-----------------+------------------------------------+------------------------------------------------------+------------------------------------------------+---------------------
x . . . . . |    2 | 5760     *    * |    2     4    2    0    0    0   0 |   1    4    4    2    2    4    1    0    0    0   0 |   2   2    2    4   2   1    2   2   0   0   0 |  1   2   1   2  1  0
. . . x . . |    2 |    * 11520    * |    0     2    0    2    1    1   0 |   0    1    0    2    2    2    0    1    2    2   1 |   1   0    1    1   0   2    2   2   1   1   2 |  1   1   0   1  2  1
. . . . . x |    2 |    *     * 3840 |    0     0    3    0    0    3   1 |   0    0    3    0    0    6    3    0    0    3   3 |   0   1    0    3   3   0    3   6   0   1   3 |  0   1   1   3  3  1
------------+------+-----------------+------------------------------------+------------------------------------------------------+------------------------------------------------+---------------------
x3o . . . . |    3 |    3     0    0 | 3840     *    *    *    *    *   * |   1    2    2    0    0    0    0    0    0    0   0 |   2   2    1    2   1   0    0   0   0   0   0 |  1   2   1   1  0  0
x . . x . . |    4 |    2     2    0 |    * 11520    *    *    *    *   * |   0    1    0    1    1    1    0    0    0    0   0 |   1   0    1    1   0   1    1   1   0   0   0 |  1   1   0   1  1  0
x . . . . x |    4 |    2     0    2 |    *     * 5760    *    *    *   * |   0    0    2    0    0    2    1    0    0    0   0 |   0   1    0    2   2   0    1   2   0   0   0 |  0   1   1   2  1  0
. . o3x . . |    3 |    0     3    0 |    *     *    * 7680    *    *   * |   0    0    0    1    0    0    0    1    1    1   0 |   1   0    0    0   0   1    1   0   1   1   1 |  1   1   0   0  1  1
. . . x3o . |    3 |    0     3    0 |    *     *    *    * 3840    *   * |   0    0    0    0    2    0    0    0    2    0   1 |   0   0    1    0   0   2    0   2   1   0   2 |  1   0   0   1  2  1
. . . x . x |    4 |    0     2    2 |    *     *    *    *    * 5760   * |   0    0    0    0    0    2    0    0    0    2   1 |   0   0    0    1   0   0    2   2   0   1   2 |  0   1   0   1  2  1
. . . . o4x |    4 |    0     0    4 |    *     *    *    *    *    * 960 |   0    0    0    0    0    0    3    0    0    0   3 |   0   0    0    0   3   0    0   6   0   0   3 |  0   0   1   3  3  1
------------+------+-----------------+------------------------------------+------------------------------------------------------+------------------------------------------------+---------------------
x3o3o . . .     4 |    6     0    0 |    4     0    0    0    0    0   0 | 960    *    *    *    *    *    *    *    *    *   * |   2   2    0    0   0   0    0   0   0   0   0 |  1   2   1   0  0  0
x3o . x . .     6 |    6     3    0 |    2     3    0    0    0    0   0 |   * 3840    *    *    *    *    *    *    *    *   * |   1   0    1    1   0   0    0   0   0   0   0 |  1   1   0   1  0  0
x3o . . . x     6 |    6     0    3 |    2     0    3    0    0    0   0 |   *    * 3840    *    *    *    *    *    *    *   * |   0   1    0    1   1   0    0   0   0   0   0 |  0   1   1   1  0  0
x . o3x . .     6 |    3     6    0 |    0     3    0    2    0    0   0 |   *    *    * 3840    *    *    *    *    *    *   * |   1   0    0    0   0   1    1   0   0   0   0 |  1   1   0   0  1  0
x . . x3o .     6 |    3     6    0 |    0     3    0    0    2    0   0 |   *    *    *    * 3840    *    *    *    *    *   * |   0   0    1    0   0   1    0   1   0   0   0 |  1   0   0   1  1  0
x . . x . x     8 |    4     4    4 |    0     2    2    0    0    2   0 |   *    *    *    *    * 5760    *    *    *    *   * |   0   0    0    1   0   0    1   1   0   0   0 |  0   1   0   1  1  0
x . . . o4x     8 |    4     0    8 |    0     0    4    0    0    0   2 |   *    *    *    *    *    * 1440    *    *    *   * |   0   0    0    0   2   0    0   2   0   0   0 |  0   0   1   2  1  0
. o3o3x . .     4 |    0     6    0 |    0     0    0    4    0    0   0 |   *    *    *    *    *    *    * 1920    *    *   * |   1   0    0    0   0   0    0   0   1   1   0 |  1   1   0   0  0  1
. . o3x3o .     6 |    0    12    0 |    0     0    0    4    4    0   0 |   *    *    *    *    *    *    *    * 1920    *   * |   0   0    0    0   0   1    0   0   1   0   1 |  1   0   0   0  1  1
. . o3x . x     6 |    0     6    3 |    0     0    0    2    0    3   0 |   *    *    *    *    *    *    *    *    * 3840   * |   0   0    0    0   0   0    1   0   0   1   1 |  0   1   0   0  1  1
. . . x3o4x    24 |    0    24   24 |    0     0    0    0    8   12   6 |   *    *    *    *    *    *    *    *    *    * 480 |   0   0    0    0   0   0    0   2   0   0   2 |  0   0   0   1  2  1
------------+------+-----------------+------------------------------------+------------------------------------------------------+------------------------------------------------+---------------------
x3o3o3x . .    20 |   30    30    0 |   20    30    0   20    0    0   0 |   5   10    0   10    0    0    0    5    0    0   0 | 384   *    *    *   *   *    *   *   *   *   * |  1   1   0   0  0  0
x3o3o . . x     8 |   12     0    4 |    8     0    6    0    0    0   0 |   2    0    4    0    0    0    0    0    0    0   0 |   * 960    *    *   *   *    *   *   *   *   * |  0   1   1   0  0  0
x3o . x3o .     9 |    9     9    0 |    3     9    0    0    3    0   0 |   0    3    0    0    3    0    0    0    0    0   0 |   *   * 1280    *   *   *    *   *   *   *   * |  1   0   0   1  0  0
x3o . x . x    12 |   12     6    6 |    4     6    6    0    0    3   0 |   0    2    2    0    0    3    0    0    0    0   0 |   *   *    * 1920   *   *    *   *   *   *   * |  0   1   0   1  0  0
x3o . . o4x    12 |   12     0   12 |    4     0   12    0    0    0   3 |   0    0    4    0    0    0    3    0    0    0   0 |   *   *    *    * 960   *    *   *   *   *   * |  0   0   1   1  0  0
x . o3x3o .    12 |    6    24    0 |    0    12    0    8    8    0   0 |   0    0    0    4    4    0    0    0    2    0   0 |   *   *    *    *   * 960    *   *   *   *   * |  1   0   0   0  1  0
x . o3x . x    12 |    6    12    6 |    0     6    3    4    0    6   0 |   0    0    0    2    0    3    0    0    0    2   0 |   *   *    *    *   *   * 1920   *   *   *   * |  0   1   0   0  1  0
x . . x3o4x    48 |   24    48   48 |    0    24   24    0   16   24  12 |   0    0    0    0    8   12    6    0    0    0   2 |   *   *    *    *   *   *    * 480   *   *   * |  0   0   0   1  1  0
. o3o3x3o .    10 |    0    30    0 |    0     0    0   20   10    0   0 |   0    0    0    0    0    0    0    5    5    0   0 |   *   *    *    *   *   *    *   * 384   *   * |  1   0   0   0  0  1
. o3o3x . x     8 |    0    12    4 |    0     0    0    8    0    6   0 |   0    0    0    0    0    0    0    2    0    4   0 |   *   *    *    *   *   *    *   *   * 960   * |  0   1   0   0  0  1
. . o3x3o4x    96 |    0   192   96 |    0     0    0   64   64   96  24 |   0    0    0    0    0    0    0    0   16   32   8 |   *   *    *    *   *   *    *   *   *   * 120 |  0   0   0   0  1  1
------------+------+-----------------+------------------------------------+------------------------------------------------------+------------------------------------------------+---------------------
x3o3o3x3o .    60 |   90   180    0 |   60   180    0  120   60    0   0 |  15   60    0   60   60    0    0   30   30    0   0 |   6   0   20    0   0  15    0   0   6   0   0 | 64   *   *   *  *  *
x3o3o3x . x    40 |   60    60   20 |   40    60   30   40    0   30   0 |  10   20   20   20    0   30    0   10    0   20   0 |   2   5    0   10   0   0   10   0   0   5   0 |  * 192   *   *  *  *
x3o3o . o4x    16 |   24     0   16 |   16     0   24    0    0    0   4 |   4    0   16    0    0    0    6    0    0    0   0 |   0   4    0    0   4   0    0   0   0   0   0 |  *   * 240   *  *  *
x3o . x3o4x    72 |   72    72   72 |   24    72   72    0   24   36  18 |   0   24   24    0   24   36   18    0    0    0   3 |   0   0    8   12   6   0    0   3   0   0   0 |  *   *   * 160  *  *
x . o3x3o4x   192 |   96   384  192 |    0   192   96  128  128  192  48 |   0    0    0   64   64   96   24    0   32   64  16 |   0   0    0    0   0  16   32   8   0   0   2 |  *   *   *   * 60  *
. o3o3x3o4x   320 |    0   960  320 |    0     0    0  640  320  480  80 |   0    0    0    0    0    0    0  160  160  320  40 |   0   0    0    0   0   0    0   0  32  80  10 |  *   *   *   *  * 12

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