Acronym	thatoth
Name	tesseractihexadecatruncated tesseractihexadecachoron
	©
Cross sections	©
Circumradius	sqrt[(5+sqrt(2))/2] = 1.790840
Coordinates	((1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, (sqrt(2)-1)/2)   & all permutations, all changes of sign
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: cotco tic tut thatoth 8 8 16 )
Face vector	192, 384, 200, 32
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope thatoth is isomorphic to thaquitoth, thereby interchanging the roles of octagrams and octagons, resp. replacing tic by quith.

Incidence matrix according to Dynkin symbol

o3x3x4/3x4*b

. . .   .    | 192 |   2  1  1 |  1  2  2  1 |  1 1 2
-------------+-----+-----------+-------------+-------
. x .   .    |   2 | 192  *  * |  1  1  1  0 |  1 1 1
. . x   .    |   2 |   * 96  * |  0  2  0  1 |  1 0 2
. . .   x    |   2 |   *  * 96 |  0  0  2  1 |  0 1 2
-------------+-----+-----------+-------------+-------
o3x .   .    |   3 |   3  0  0 | 64  *  *  * |  1 1 0
. x3x   .    |   6 |   3  3  0 |  * 64  *  * |  1 0 1
. x .   x4*b |   8 |   4  0  4 |  *  * 48  * |  0 1 1
. . x4/3x    |   8 |   0  4  4 |  *  *  * 24 |  0 0 2
-------------+-----+-----------+-------------+-------
o3x3x   .    ♦  12 |  12  6  0 |  4  4  0  0 | 16 * *
o3x .   x4*b ♦  24 |  24  0 12 |  8  0  6  0 |  * 8 *
. x3x4/3x4*b ♦  48 |  24 24 24 |  0  8  6  6 |  * * 8

o3/2x3x4/3x4*b

.   . .   .    | 192 |   2  1  1 |  1  2  2  1 |  1 1 2
---------------+-----+-----------+-------------+-------
.   x .   .    |   2 | 192  *  * |  1  1  1  0 |  1 1 1
.   . x   .    |   2 |   * 96  * |  0  2  0  1 |  1 0 2
.   . .   x    |   2 |   *  * 96 |  0  0  2  1 |  0 1 2
---------------+-----+-----------+-------------+-------
o3/2x .   .    |   3 |   3  0  0 | 64  *  *  * |  1 1 0
.   x3x   .    |   6 |   3  3  0 |  * 64  *  * |  1 0 1
.   x .   x4*b |   8 |   4  0  4 |  *  * 48  * |  0 1 1
.   . x4/3x    |   8 |   0  4  4 |  *  *  * 24 |  0 0 2
---------------+-----+-----------+-------------+-------
o3/2x3x   .    ♦  12 |  12  6  0 |  4  4  0  0 | 16 * *
o3/2x .   x4*b ♦  24 |  24  0 12 |  8  0  6  0 |  * 8 *
.   x3x4/3x4*b ♦  48 |  24 24 24 |  0  8  6  6 |  * * 8