Acronym tatsa
Name tritruncated hepteract
Circumradius sqrt(17/2) = 2.915476
Coordinates (sqrt(2), sqrt(2), sqrt(2), sqrt(2), sqrt(2)/2, 0, 0)   & all permutations, all changes of sign
Face vector 3360, 13440, 20160, 15120, 6328, 1428142
Confer
general polytopal classes:
Wythoffian polyexa  
External
links
wikipedia   polytopewiki  

Incidence matrix according to Dynkin symbol

o3o3o3x3x3o4o

. . . . . . . | 3360 |    4    4 |    6   16    4 |    4   24   16   1 |   1   16   24   4 |   4  16  6 |   4  4
--------------+------+-----------+----------------+--------------------+-------------------+------------+-------
. . . x . . . |    2 | 6720    * |    3    4    0 |    3   12    4   0 |   1   12   12   1 |   4  12  3 |   4  3
. . . . x . . |    2 |    * 6720 |    0    4    2 |    0    6    8   1 |   0    4   12   4 |   1   8  6 |   2  4
--------------+------+-----------+----------------+--------------------+-------------------+------------+-------
. . o3x . . . |    3 |    3    0 | 6720    *    * |    2    4    0   0 |   1    8    4   0 |   4   8  1 |   4  2
. . . x3x . . |    6 |    3    3 |    * 8960    * |    0    3    2   0 |   0    3    6   1 |   1   6  3 |   2  3
. . . . x3o . |    3 |    0    3 |    *    * 4480 |    0    0    4   1 |   0    0    6   4 |   0   4  6 |   1  4
--------------+------+-----------+----------------+--------------------+-------------------+------------+-------
. o3o3x . . .     4 |    6    0 |    4    0    0 | 3360    *    *   * |   1    4    0   0 |   4   4  0 |   4  1
. . o3x3x . .    12 |   12    6 |    4    4    0 |    * 6720    *   * |   0    2    2   0 |   1   4  1 |   2  2
. . . x3x3o .    12 |    6   12 |    0    4    4 |    *    * 4480   * |   0    0    3   1 |   0   3  3 |   1  3
. . . . x3o4o     6 |    0   12 |    0    0    8 |    *    *    * 560    0    0    0   4 |   0   0  6 |   0  4
--------------+------+-----------+----------------+--------------------+-------------------+------------+-------
o3o3o3x . . .     5 |   10    0 |   10    0    0 |    5    0    0   0 | 672    *    *   * |   4   0  0 |   4  0
. o3o3x3x . .    20 |   30   10 |   20   10    0 |    5    5    0   0 |   * 2688    *   * |   1   2  0 |   2  1
. . o3x3x3o .    30 |   30   30 |   10   20   10 |    0    5    5   0 |   *    * 2688   * |   0   2  1 |   1  2
. . . x3x3o4o    48 |   24   96 |    0   32   64 |    0    0   16   8 |   *    *    * 280 |   0   0  3 |   0  3
--------------+------+-----------+----------------+--------------------+-------------------+------------+-------
o3o3o3x3x . .    30 |   60   15 |   60   20    0 |   30   15    0   0 |   6    6    0   0 | 448   *  * |   2  0
. o3o3x3x3o .    60 |   90   60 |   60   60   20 |   15   30   15   0 |   0    6    6   0 |   * 896  * |   1  1
. . o3x3x3o4o   240 |  240  480 |   80  320  320 |    0   80  160  40 |   0    0   32  10 |   *   * 84 |   0  2
--------------+------+-----------+----------------+--------------------+-------------------+------------+-------
o3o3o3x3x3o .   105 |  210  105 |  210  140   35 |  105  105   35   0 |  21   42   21   0 |   7   7  0 | 128  *
. o3o3x3x3o4o   960 | 1440 1920 |  960 1920 1280 |  240  960  960 160 |   0  192  384  60 |   0  64 12 |   * 14

o3x3o *b3x3o3o3o

. . .    . . . . | 3360 |    4    4 |    2    2   16    6 |   1    8    8   24    4 |   4   12   12   16   1 |  6   8   8   4 |  4  2  2
-----------------+------+-----------+---------------------+-------------------------+------------------------+----------------+---------
. x .    . . . . |    2 | 6720    * |    1    1    4    0 |   1    4    4    6    0 |   4    6    6    4   0 |  6   4   4   1 |  4  1  1
. . .    x . . . |    2 |    * 6720 |    0    0    4    3 |   0    2    2   12    3 |   1    6    6   12   1 |  3   6   6   4 |  3  2  2
-----------------+------+-----------+---------------------+-------------------------+------------------------+----------------+---------
o3x .    . . . . |    3 |    3    0 | 2240    *    *    * |   1    4    0    0    0 |   4    6    0    0   0 |  6   4   0   0 |  4  1  0
. x3o    . . . . |    3 |    3    0 |    * 2240    *    * |   1    0    4    0    0 |   4    0    6    0   0 |  6   0   4   0 |  4  0  1
. x . *b3x . . . |    6 |    3    3 |    *    * 8960    * |   0    1    1    3    0 |   1    3    3    3   0 |  3   3   3   1 |  3  1  1
. . .    x3o . . |    3 |    0    3 |    *    *    * 6720 |   0    0    0    4    2 |   0    2    2    8   1 |  1   4   4   4 |  2  2  2
-----------------+------+-----------+---------------------+-------------------------+------------------------+----------------+---------
o3x3o    . . . .     6 |   12    0 |    4    4    0    0 | 560    *    *    *    *    4    0    0    0   0 |  6   0   0   0 |  4  0  0
o3x . *b3x . . .    12 |   12    6 |    4    0    4    0 |   * 2240    *    *    * |   1    3    0    0   0 |  3   3   0   0 |  3  1  0
. x3o *b3x . . .    12 |   12    6 |    0    4    4    0 |   *    * 2240    *    * |   1    0    3    0   0 |  3   0   3   0 |  3  0  1
. x . *b3x3o . .    12 |    6   12 |    0    0    4    4 |   *    *    * 6720    * |   0    1    1    2   0 |  1   2   2   1 |  2  1  1
. . .    x3o3o .     4 |    0    6 |    0    0    0    4 |   *    *    *    * 3360 |   0    0    0    4   1 |  0   2   2   4 |  1  2  2
-----------------+------+-----------+---------------------+-------------------------+------------------------+----------------+---------
o3x3o *b3x . . .    48 |   96   24 |   32   32   32    0 |   8    8    8    0    0 | 280    *    *    *   * |  3   0   0   0 |  3  0  0
o3x . *b3x3o . .    30 |   30   30 |   10    0   20   10 |   0    5    0    5    0 |   * 1344    *    *   * |  1   2   0   0 |  2  1  0
. x3o *b3x3o . .    30 |   30   30 |    0   10   20   10 |   0    0    5    5    0 |   *    * 1344    *   * |  1   0   2   0 |  2  0  1
. x . *b3x3o3o .    20 |   10   30 |    0    0   10   20 |   0    0    0    5    5 |   *    *    * 2688   * |  0   1   1   1 |  1  1  1
. . .    x3o3o3o     5 |    0   10 |    0    0    0   10 |   0    0    0    0    5 |   *    *    *    * 672 |  0   0   0   4 |  0  2  2
-----------------+------+-----------+---------------------+-------------------------+------------------------+----------------+---------
o3x3o *b3x3o . .   240 |  480  240 |  160  160  320   80 |  40   80   80   80    0 |  10   16   16    0   0 | 84   *   *   * |  2  0  0
o3x . *b3x3o3o .    60 |   60   90 |   20    0   60   60 |   0   15    0   30   15 |   0    6    0    6   0 |  * 448   *   * |  1  1  0
. x3o *b3x3o3o .    60 |   60   90 |    0   20   60   60 |   0    0   15   30   15 |   0    0    6    6   0 |  *   * 448   * |  1  0  1
. x . *b3x3o3o3o    30 |   15   60 |    0    0   20   60 |   0    0    0   15   30 |   0    0    0    6   6 |  *   *   * 448 |  0  1  1
-----------------+------+-----------+---------------------+-------------------------+------------------------+----------------+---------
o3x3o *b3x3o3o .   960 | 1920 1440 |  640  640 1920  960 | 160  480  480  960  240 |  60  192  192  192   0 | 12  32  32   0 | 14  *  *
o3x . *b3x3o3o3o   105 |  105  210 |   35    0  140  210 |   0   35    0  105  105 |   0   21    0   42  21 |  0   7   0   7 |  * 64  *
. x3o *b3x3o3o3o   105 |  105  210 |    0   35  140  210 |   0    0   35  105  105 |   0    0   21   42  21 |  0   0   7   7 |  *  * 64

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