Acronym	botag
Name	bitruncated hexacontitetrapeton, bitruncated hexacross
Circumradius	sqrt(9/2) = 2.121320
Coordinates	(sqrt(2), sqrt(2), 1/sqrt(2), 0, 0, 0)   & all permutations, all changes of sign
Face vector	480, 1920, 3040, 2160, 636, 76
Confer	general polytopal classes: Wythoffian polypeta   lace simplices
External links

Incidence matrix according to Dynkin symbol

o3x3x3o3o4o

. . . . . . | 480 |   2    6 |   1  12   12 |   6  24   8 |  12  16  1 |  8  2
------------+-----+----------+--------------+-------------+------------+------
. x . . . . |   2 | 480    * |   1   6    0 |   6  12   0 |  12   8  0 |  8  1
. . x . . . |   2 |   * 1440 |   0   2    4 |   1   8   4 |   4   8  1 |  4  2
------------+-----+----------+--------------+-------------+------------+------
o3x . . . . |   3 |   3    0 | 160   *    * ♦   6   0   0 |  12   0  0 |  8  0
. x3x . . . |   6 |   3    3 |   * 960    * |   1   4   0 |   4   4  0 |  4  1
. . x3o . . |   3 |   0    3 |   *   * 1920 |   0   2   2 |   1   4  1 |  2  2
------------+-----+----------+--------------+-------------+------------+------
o3x3x . . . ♦  12 |  12    6 |   4   4    0 | 240   *   * |   4   0  0 |  4  0
. x3x3o . . ♦  12 |   6   12 |   0   4    4 |   * 960   * |   1   2  0 |  2  1
. . x3o3o . ♦   4 |   0    6 |   0   0    4 |   *   * 960 |   0   2  1 |  1  2
------------+-----+----------+--------------+-------------+------------+------
o3x3x3o . . ♦  30 |  30   30 |  10  20   10 |   5   5   0 | 192   *  * |  2  0
. x3x3o3o . ♦  20 |  10   30 |   0  10   20 |   0   5   5 |   * 384  * |  1  1
. . x3o3o4o ♦   8 |   0   24 |   0   0   32 |   0   0  16 |   *   * 60 |  0  2
------------+-----+----------+--------------+-------------+------------+------
o3x3x3o3o . ♦  60 |  60   90 |  20  60   60 |  15  30  15 |   6   6  0 | 64  *
. x3x3o3o4o ♦  80 |  40  240 |   0  80  320 |   0  80 160 |   0  32 10 |  * 12

o3x3x3o3o4/3o

. . . . .   . | 480 |   2    6 |   1  12   12 |   6  24   8 |  12  16  1 |  8  2
--------------+-----+----------+--------------+-------------+------------+------
. x . . .   . |   2 | 480    * |   1   6    0 |   6  12   0 |  12   8  0 |  8  1
. . x . .   . |   2 |   * 1440 |   0   2    4 |   1   8   4 |   4   8  1 |  4  2
--------------+-----+----------+--------------+-------------+------------+------
o3x . . .   . |   3 |   3    0 | 160   *    * ♦   6   0   0 |  12   0  0 |  8  0
. x3x . .   . |   6 |   3    3 |   * 960    * |   1   4   0 |   4   4  0 |  4  1
. . x3o .   . |   3 |   0    3 |   *   * 1920 |   0   2   2 |   1   4  1 |  2  2
--------------+-----+----------+--------------+-------------+------------+------
o3x3x . .   . ♦  12 |  12    6 |   4   4    0 | 240   *   * |   4   0  0 |  4  0
. x3x3o .   . ♦  12 |   6   12 |   0   4    4 |   * 960   * |   1   2  0 |  2  1
. . x3o3o   . ♦   4 |   0    6 |   0   0    4 |   *   * 960 |   0   2  1 |  1  2
--------------+-----+----------+--------------+-------------+------------+------
o3x3x3o .   . ♦  30 |  30   30 |  10  20   10 |   5   5   0 | 192   *  * |  2  0
. x3x3o3o   . ♦  20 |  10   30 |   0  10   20 |   0   5   5 |   * 384  * |  1  1
. . x3o3o4/3o ♦   8 |   0   24 |   0   0   32 |   0   0  16 |   *   * 60 |  0  2
--------------+-----+----------+--------------+-------------+------------+------
o3x3x3o3o   . ♦  60 |  60   90 |  20  60   60 |  15  30  15 |   6   6  0 | 64  *
. x3x3o3o4/3o ♦  80 |  40  240 |   0  80  320 |   0  80 160 |   0  32 10 |  * 12

o3o3o *b3x3x3o

. . .    . . . | 480 |    6   2 |   12  12   1 |   4   4  24   6 |  1   8   8  12 |  2  4  4
---------------+-----+----------+--------------+-----------------+----------------+---------
. . .    x . . |   2 | 1440   * |    4   2   0 |   2   2   8   1 |  1   4   4   4 |  2  2  2
. . .    . x . |   2 |    * 480 |    0   6   1 |   0   0  12   6 |  0   4   4  12 |  1  4  4
---------------+-----+----------+--------------+-----------------+----------------+---------
. o . *b3x . . |   3 |    3   0 | 1920   *   * |   1   1   2   0 |  1   2   2   1 |  2  1  1
. . .    x3x . |   6 |    3   3 |    * 960   * |   0   0   4   1 |  0   2   2   4 |  1  2  2
. . .    . x3o |   3 |    0   3 |    *   * 160 ♦   0   0   0   6 |  0   0   0  12 |  0  4  4
---------------+-----+----------+--------------+-----------------+----------------+---------
o3o . *b3x . . ♦   4 |    6   0 |    4   0   0 | 480   *   *   * |  1   2   0   0 |  2  1  0
. o3o *b3x . . ♦   4 |    6   0 |    4   0   0 |   * 480   *   * |  1   0   2   0 |  2  0  1
. o . *b3x3x . ♦  12 |   12   6 |    4   4   0 |   *   * 960   * |  0   1   1   1 |  1  1  1
. . .    x3x3o ♦  12 |    6  12 |    0   4   4 |   *   *   * 240 |  0   0   0   4 |  0  2  2
---------------+-----+----------+--------------+-----------------+----------------+---------
o3o3o *b3x . . ♦   8 |   24   0 |   32   0   0 |   8   8   0   0 | 60   *   *   * |  2  0  0
o3o . *b3x3x . ♦  20 |   30  10 |   20  10   0 |   5   0   5   0 |  * 192   *   * |  1  1  0
. o3o *b3x3x . ♦  20 |   30  10 |   20  10   0 |   0   5   5   0 |  *   * 192   * |  1  0  1
. o . *b3x3x3o ♦  30 |   30  30 |   10  20  10 |   0   0   5   5 |  *   *   * 192 |  0  1  1
---------------+-----+----------+--------------+-----------------+----------------+---------
o3o3o *b3x3x . ♦  80 |  240  40 |  320  80   0 |  80  80  80   0 | 10  16  16   0 | 12  *  *
o3o . *b3x3x3o ♦  60 |   90  60 |   60  60  20 |  15   0  30  15 |  0   6   0   6 |  * 32  *
. o3o *b3x3x3o ♦  60 |   90  60 |   60  60  20 |   0  15  30  15 |  0   0   6   6 |  *  * 32