Acronym	botox
Name	bitruncated hexeract
Circumradius	sqrt(17/2) = 2.915476
Inradius wrt. bittin	sqrt(2) = 1.414214
Inradius wrt. tix	sqrt(27)/2 = 2.598076
Coordinates	(sqrt(2), sqrt(2), sqrt(2), sqrt(2), 1/sqrt(2), 0)   & all permutations, all changes of sign
Dihedral angles (at margins)	at pen between tix and tix:   arccos(-2/3) = 131.810315° at tip between bittin and tix:   arccos[-1/sqrt(6)] = 114.094843° at tah between bittin and bittin:   90°
Face vector	960, 2880, 3440, 2080, 636, 76
Confer	general polytopal classes: Wythoffian polypeta   lace simplices   analogs: bitruncated hypercube btCn
External links

Incidence matrix according to Dynkin symbol

o3o3o3x3x4o

. . . . . . | 960 |    4   2 |    6    8   1 |   4  12   4 |   1   8  6 |  2  4
------------+-----+----------+---------------+-------------+------------+------
. . . x . . |   2 | 1920   * |    3    2   0 |   3   6   1 |   1   6  3 |  2  3
. . . . x . |   2 |    * 960 |    0    4   1 |   0   6   4 |   0   4  6 |  1  4
------------+-----+----------+---------------+-------------+------------+------
. . o3x . . |   3 |    3   0 | 1920    *   * |   2   2   0 |   1   4  1 |  2  2
. . . x3x . |   6 |    3   3 |    * 1280   * |   0   3   1 |   0   3  3 |  1  3
. . . . x4o |   4 |    0   4 |    *    * 240 ♦   0   0   4 |   0   0  6 |  0  4
------------+-----+----------+---------------+-------------+------------+------
. o3o3x . . ♦   4 |    6   0 |    4    0   0 | 960   *   * |   1   2  0 |  2  1
. . o3x3x . ♦  12 |   12   6 |    4    4   0 |   * 960   * |   0   2  1 |  1  2
. . . x3x4o ♦  24 |   12  24 |    0    8   6 |   *   * 160 |   0   0  3 |  0  3
------------+-----+----------+---------------+-------------+------------+------
o3o3o3x . . ♦   5 |   10   0 |   10    0   0 |   5   0   0 | 192   *  * |  2  0
. o3o3x3x . ♦  20 |   30  10 |   20   10   0 |   5   5   0 |   * 384  * |  1  1
. . o3x3x4o ♦  96 |   96  96 |   32   64  24 |   0  16   8 |   *   * 60 |  0  2
------------+-----+----------+---------------+-------------+------------+------
o3o3o3x3x . ♦  30 |   60  15 |   60   20   0 |  30  15   0 |   6   6  0 | 64  *
. o3o3x3x4o ♦ 320 |  480 320 |  320  320  80 |  80 160  40 |   0  32 10 |  * 12

o3o3o3x3x4/3o

. . . . .   . | 960 |    4   2 |    6    8   1 |   4  12   4 |   1   8  6 |  2  4
--------------+-----+----------+---------------+-------------+------------+------
. . . x .   . |   2 | 1920   * |    3    2   0 |   3   6   1 |   1   6  3 |  2  3
. . . . x   . |   2 |    * 960 |    0    4   1 |   0   6   4 |   0   4  6 |  1  4
--------------+-----+----------+---------------+-------------+------------+------
. . o3x .   . |   3 |    3   0 | 1920    *   * |   2   2   0 |   1   4  1 |  2  2
. . . x3x   . |   6 |    3   3 |    * 1280   * |   0   3   1 |   0   3  3 |  1  3
. . . . x4/3o |   4 |    0   4 |    *    * 240 ♦   0   0   4 |   0   0  6 |  0  4
--------------+-----+----------+---------------+-------------+------------+------
. o3o3x .   . ♦   4 |    6   0 |    4    0   0 | 960   *   * |   1   2  0 |  2  1
. . o3x3x   . ♦  12 |   12   6 |    4    4   0 |   * 960   * |   0   2  1 |  1  2
. . . x3x4/3o ♦  24 |   12  24 |    0    8   6 |   *   * 160 |   0   0  3 |  0  3
--------------+-----+----------+---------------+-------------+------------+------
o3o3o3x .   . ♦   5 |   10   0 |   10    0   0 |   5   0   0 | 192   *  * |  2  0
. o3o3x3x   . ♦  20 |   30  10 |   20   10   0 |   5   5   0 |   * 384  * |  1  1
. . o3x3x4/3o ♦  96 |   96  96 |   32   64  24 |   0  16   8 |   *   * 60 |  0  2
--------------+-----+----------+---------------+-------------+------------+------
o3o3o3x3x   . ♦  30 |   60  15 |   60   20   0 |  30  15   0 |   6   6  0 | 64  *
. o3o3x3x4/3o ♦ 320 |  480 320 |  320  320  80 |  80 160  40 |   0  32 10 |  * 12

x3x3x *b3o3o3o

. . .    . . . | 960 |   1    4   1 |   4   1   4    6 |   4   6   6   4 |  6   4   4   1 |  4  1  1
---------------+-----+--------------+------------------+-----------------+----------------+---------
x . .    . . . |   2 | 480    *   * |   4   1   0    0 |   4   6   0   0 |  6   4   0   0 |  4  1  0
. x .    . . . |   2 |   * 1920   * |   1   0   1    3 |   1   3   3   3 |  3   3   3   1 |  3  1  1
. . x    . . . |   2 |   *    * 480 |   0   1   4    0 |   4   0   6   0 |  6   0   4   0 |  4  0  1
---------------+-----+--------------+------------------+-----------------+----------------+---------
x3x .    . . . |   6 |   3    3   0 | 640   *   *    * |   1   3   0   0 |  3   3   0   0 |  3  1  0
x . x    . . . |   4 |   2    0   2 |   * 240   *    * ♦   4   0   0   0 |  6   0   0   0 |  4  0  0
. x3x    . . . |   6 |   0    3   3 |   *   * 640    * |   1   0   3   0 |  3   0   3   0 |  3  0  1
. x . *b3o . . |   3 |   0    3   0 |   *   *   * 1920 |   0   1   1   2 |  1   2   2   1 |  2  1  1
---------------+-----+--------------+------------------+-----------------+----------------+---------
x3x3x    . . . ♦  24 |  12   12  12 |   4   6   4    0 | 160   *   *   * |  3   0   0   0 |  3  0  0
x3x . *b3o . . ♦  12 |   6   12   0 |   4   0   0    4 |   * 480   *   * |  1   2   0   0 |  2  1  0
. x3x *b3o . . ♦  12 |   0   12   6 |   0   0   4    4 |   *   * 480   * |  1   0   2   0 |  2  0  1
. x . *b3o3o . ♦   4 |   0    6   0 |   0   0   0    4 |   *   *   * 960 |  0   1   1   1 |  1  1  1
---------------+-----+--------------+------------------+-----------------+----------------+---------
x3x3x *b3o . . ♦  96 |  48   96  48 |  32  24  32   32 |   8   8   8   0 | 60   *   *   * |  2  0  0
x3x . *b3o3o . ♦  20 |  10   30   0 |  10   0   0   20 |   0   5   0   5 |  * 192   *   * |  1  1  0
. x3x *b3o3o . ♦  20 |   0   30  10 |   0   0  10   20 |   0   0   5   5 |  *   * 192   * |  1  0  1
. x . *b3o3o3o ♦   5 |   0   10   0 |   0   0   0   10 |   0   0   0   5 |  *   *   * 192 |  0  1  1
---------------+-----+--------------+------------------+-----------------+----------------+---------
x3x3x *b3o3o . ♦ 320 | 160  480 160 | 160  80 160  320 |  40  80  80  80 | 10  16  16   0 | 12  *  *
x3x . *b3o3o3o ♦  30 |  15   60   0 |  20   0   0   60 |   0  15   0  30 |  0   6   0   6 |  * 32  *
. x3x *b3o3o3o ♦  30 |   0   60  15 |   0   0  20   60 |   0   0  15  30 |  0   0   6   6 |  *  * 32