Acronym stoxog
Name small terated hexeractihexacontatetrapeton,
pentellated hexeract,
pentellated hexacross
Circumradius sqrt[2+1/sqrt(2)] = 1.645329
Coordinates ((1+sqrt(2))/2, 1/2, 1/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
External
links
wikipedia

Incidence matrix according to Dynkin symbol

x3o3o3o3o4x

. . . . . . | 384 |   5   5 |   10   20  10 |  10   30   30  10 |   5  20  30  20   5 |  1   5  10  10  5  1
------------+-----+---------+---------------+-------------------+---------------------+---------------------
x . . . . . |   2 | 960   * |    4    4   0 |   6   12    6   0 |   4  12  12   4   0 |  1   4   6   4  1  0
. . . . . x |   2 |   * 960 |    0    4   4 |   0    6   12   6 |   0   4  12  12   4 |  0   1   4   6  4  1
------------+-----+---------+---------------+-------------------+---------------------+---------------------
x3o . . . . |   3 |   3   0 | 1280    *   * |   3    3    0   0 |   3   6   3   0   0 |  1   3   3   1  0  0
x . . . . x |   4 |   2   2 |    * 1920   * |   0    3    3   0 |   0   3   6   3   0 |  0   1   3   3  1  0
. . . . o4x |   4 |   0   4 |    *    * 960 |   0    0    3   3 |   0   0   3   6   3 |  0   0   1   3  3  1
------------+-----+---------+---------------+-------------------+---------------------+---------------------
x3o3o . . .    4 |   6   0 |    4    0   0 | 960    *    *   * |   2   2   0   0   0 |  1   2   1   0  0  0
x3o . . . x    6 |   6   3 |    2    3   0 |   * 1920    *   * |   0   2   2   0   0 |  0   1   2   1  0  0
x . . . o4x    8 |   4   8 |    0    4   2 |   *    * 1440   * |   0   0   2   2   0 |  0   0   1   2  1  0
. . . o3o4x    8 |   0  12 |    0    0   6 |   *    *    * 480 |   0   0   0   2   2 |  0   0   0   1  2  1
------------+-----+---------+---------------+-------------------+---------------------+---------------------
x3o3o3o . .    5 |  10   0 |   10    0   0 |   5    0    0   0 | 384   *   *   *   * |  1   1   0   0  0  0
x3o3o . . x    8 |  12   4 |    8    6   0 |   2    4    0   0 |   * 960   *   *   * |  0   1   1   0  0  0
x3o . . o4x   12 |  12  12 |    4   12   3 |   0    4    3   0 |   *   * 960   *   * |  0   0   1   1  0  0
x . . o3o4x   16 |   8  24 |    0   12  12 |   0    0    6   2 |   *   *   * 480   * |  0   0   0   1  1  0
. . o3o3o4x   16 |   0  32 |    0    0  24 |   0    0    0   8 |   *   *   *   * 120 |  0   0   0   0  1  1
------------+-----+---------+---------------+-------------------+---------------------+---------------------
x3o3o3o3o .    6 |  15   0 |   20    0   0 |  15    0    0   0 |   6   0   0   0   0 | 64   *   *   *  *  *
x3o3o3o . x   10 |  20   5 |   20   10   0 |  10   10    0   0 |   2   5   0   0   0 |  * 192   *   *  *  *
x3o3o . o4x   16 |  24  16 |   16   24   4 |   4   16    6   0 |   0   4   4   0   0 |  *   * 240   *  *  *
x3o . o3o4x   24 |  24  36 |    8   36  18 |   0   12   18   3 |   0   0   6   3   0 |  *   *   * 160  *  *
x . o3o3o4x   32 |  16  64 |    0   32  48 |   0    0   24  16 |   0   0   0   8   2 |  *   *   *   * 60  *
. o3o3o3o4x   32 |   0  80 |    0    0  80 |   0    0    0  40 |   0   0   0   0  10 |  *   *   *   *  * 12

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