Acronym	thaquitoth
Name	tesseractihexadecaquasitruncated tesseractihexadecachoron
Cross sections	©
Circumradius	sqrt[(5-sqrt(2))/2] = 1.338990
Coordinates	((1+sqrt(2))/2, 1/2, (sqrt(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 quith tut thaquitoth 8 8 16 )
Face vector	192, 384, 200, 32
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

o3x3x4x4/3*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 . x4/3*b |   8 |   4  0  4 |  *  * 48  * |  0 1 1
. . x4x      |   8 |   0  4  4 |  *  *  * 24 |  0 0 2
-------------+-----+-----------+-------------+-------
o3x3x .      ♦  12 |  12  6  0 |  4  4  0  0 | 16 * *
o3x . x4/3*b ♦  24 |  24  0 12 |  8  0  6  0 |  * 8 *
. x3x4x4/3*b ♦  48 |  24 24 24 |  0  8  6  6 |  * * 8

o3/2x3x4x4/3*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 . x4/3*b |   8 |   4  0  4 |  *  * 48  * |  0 1 1
.   . x4x      |   8 |   0  4  4 |  *  *  * 24 |  0 0 2
---------------+-----+-----------+-------------+-------
o3/2x3x .      ♦  12 |  12  6  0 |  4  4  0  0 | 16 * *
o3/2x . x4/3*b ♦  24 |  24  0 12 |  8  0  6  0 |  * 8 *
.   x3x4x4/3*b ♦  48 |  24 24 24 |  0  8  6  6 |  * * 8