Acronym xog
Name hexeractihexacontatetrapeton,
tritruncated hexeract,
tritruncated hexacross
Circumradius sqrt(13/2) = 2.549510
Coordinates (sqrt(2), sqrt(2), sqrt(2), 1/sqrt(2), 0, 0)   & all permutations, all changes of sign
External
links
wikipedia

Incidence matrix according to Dynkin symbol

o3o3x3x3o4o

. . . . . . | 960 |    3    4 |   3   12    4 |   1  12  12   1 |   4  12  3 |  4  3
------------+-----+-----------+---------------+-----------------+------------+------
. . x . . . |   2 | 1440    * |   2    4    0 |   1   8   4   0 |   4   8  1 |  4  2
. . . x . . |   2 |    * 1920 |   0    3    2 |   0   3   6   1 |   1   6  3 |  2  3
------------+-----+-----------+---------------+-----------------+------------+------
. o3x . . . |   3 |    3    0 | 960    *    * |   1   4   0   0 |   4   4  0 |  4  1
. . x3x . . |   6 |    3    3 |   * 1920    * |   0   2   2   0 |   1   4  1 |  2  2
. . . x3o . |   3 |    0    3 |   *    * 1280 |   0   0   3   1 |   0   3  3 |  1  3
------------+-----+-----------+---------------+-----------------+------------+------
o3o3x . . .    4 |    6    0 |   4    0    0 | 240   *   *   * |   4   0  0 |  4  0
. o3x3x . .   12 |   12    6 |   4    4    0 |   * 960   *   * |   1   2  0 |  2  1
. . x3x3o .   12 |    6   12 |   0    4    4 |   *   * 960   * |   0   2  1 |  1  2
. . . x3o4o    6 |    0   12 |   0    0    8 |   *   *   * 160 |   0   0  3 |  0  3
------------+-----+-----------+---------------+-----------------+------------+------
o3o3x3x . .   20 |   30   10 |  20   10    0 |   5   5   0   0 | 192   *  * |  2  0
. o3x3x3o .   30 |   30   30 |  10   20   10 |   0   5   5   0 |   * 384  * |  1  1
. . x3x3o4o   48 |   24   96 |   0   32   64 |   0   0  16   8 |   *   * 60 |  0  2
------------+-----+-----------+---------------+-----------------+------------+------
o3o3x3x3o .   60 |   90   60 |  60   60   20 |  15  30  15   0 |   6   6  0 | 64  *
. o3x3x3o4o  240 |  240  480 |  80  320  320 |   0  80 160  40 |   0  32 10 |  * 12

o3o3x3x3o4/3o

. . . . .   . | 960 |    3    4 |   3   12    4 |   1  12  12   1 |   4  12  3 |  4  3
--------------+-----+-----------+---------------+-----------------+------------+------
. . x . .   . |   2 | 1440    * |   2    4    0 |   1   8   4   0 |   4   8  1 |  4  2
. . . x .   . |   2 |    * 1920 |   0    3    2 |   0   3   6   1 |   1   6  3 |  2  3
--------------+-----+-----------+---------------+-----------------+------------+------
. o3x . .   . |   3 |    3    0 | 960    *    * |   1   4   0   0 |   4   4  0 |  4  1
. . x3x .   . |   6 |    3    3 |   * 1920    * |   0   2   2   0 |   1   4  1 |  2  2
. . . x3o   . |   3 |    0    3 |   *    * 1280 |   0   0   3   1 |   0   3  3 |  1  3
--------------+-----+-----------+---------------+-----------------+------------+------
o3o3x . .   .    4 |    6    0 |   4    0    0 | 240   *   *   * |   4   0  0 |  4  0
. o3x3x .   .   12 |   12    6 |   4    4    0 |   * 960   *   * |   1   2  0 |  2  1
. . x3x3o   .   12 |    6   12 |   0    4    4 |   *   * 960   * |   0   2  1 |  1  2
. . . x3o4/3o    6 |    0   12 |   0    0    8 |   *   *   * 160 |   0   0  3 |  0  3
--------------+-----+-----------+---------------+-----------------+------------+------
o3o3x3x .   .   20 |   30   10 |  20   10    0 |   5   5   0   0 | 192   *  * |  2  0
. o3x3x3o   .   30 |   30   30 |  10   20   10 |   0   5   5   0 |   * 384  * |  1  1
. . x3x3o4/3o   48 |   24   96 |   0   32   64 |   0   0  16   8 |   *   * 60 |  0  2
--------------+-----+-----------+---------------+-----------------+------------+------
o3o3x3x3o   .   60 |   90   60 |  60   60   20 |  15  30  15   0 |   6   6  0 | 64  *
. o3x3x3o4/3o  240 |  240  480 |  80  320  320 |   0  80 160  40 |   0  32 10 |  * 12

o3x3o *b3x3o3o

. . .    . . . | 960 |    4    3 |   2   2   12   3 |   1   6   6  12   1 |  3   6   6   4 |  3  2  2
---------------+-----+-----------+------------------+---------------------+----------------+---------
. x .    . . . |   2 | 1920    * |   1   1    3   0 |   1   3   3   3   0 |  3   3   3   1 |  3  1  1
. . .    x . . |   2 |    * 1440 |   0   0    4   2 |   0   2   2   8   1 |  1   4   4   4 |  2  2  2
---------------+-----+-----------+------------------+---------------------+----------------+---------
o3x .    . . . |   3 |    3    0 | 640   *    *   * |   1   3   0   0   0 |  3   3   0   0 |  3  1  0
. x3o    . . . |   3 |    3    0 |   * 640    *   * |   1   0   3   0   0 |  3   0   3   0 |  3  0  1
. x . *b3x . . |   6 |    3    3 |   *   * 1920   * |   0   1   1   2   0 |  1   2   2   1 |  2  1  1
. . .    x3o . |   3 |    0    3 |   *   *    * 960 |   0   0   0   1   4 |  0   2   2   4 |  1  2  2
---------------+-----+-----------+------------------+---------------------+----------------+---------
o3x3o    . . .    6 |   12    0 |   4   4    0   0 | 160   *   *   *   * |  3   0   0   0 |  3  0  0
o3x . *b3x . .   12 |   12    6 |   4   0    4   0 |   * 480   *   *   * |  1   2   0   0 |  2  1  0
. x3o *b3x . .   12 |   12    6 |   0   4    4   0 |   *   * 480   *   * |  1   0   2   0 |  2  0  1
. x . *b3x3o .   12 |    6   12 |   0   0    4   4 |   *   *   * 960   * |  0   1   1   1 |  1  1  1
. . .    x3o3o    4 |    0    6 |   0   0    0   4 |   *   *   *   * 240 |  0   0   0   4 |  0  2  2
---------------+-----+-----------+------------------+---------------------+----------------+---------
o3x3o *b3x . .   48 |   96   24 |  32  32   32   0 |   8   8   8   0   0 | 60   *   *   * |  2  0  0
o3x . *b3x3o .   30 |   30   30 |  10   0   20  10 |   0   5   0   5   0 |  * 192   *   * |  1  1  0
. x3o *b3x3o .   30 |   30   30 |   0  10   20  10 |   0   0   5   5   0 |  *   * 192   * |  1  0  1
. x . *b3x3o3o   20 |   10   30 |   0   0   10  20 |   0   0   0   5   5 |  *   *   * 192 |  0  1  1
---------------+-----+-----------+------------------+---------------------+----------------+---------
o3x3o *b3x3o .  240 |  480  240 | 160 160  320  80 |  40  80  80  80   0 | 10  16  16   0 | 12  *  *
o3x . *b3x3o3o   60 |   60   90 |  20   0   60  60 |   0  15   0  30  15 |  0   6   0   6 |  * 32  *
. x3o *b3x3o3o   60 |   60   90 |   0  20   60  60 |   0   0  15  30  15 |  0   0   6   6 |  *  * 32

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