Acronym	thatpath
Name	tesseractihexadecatruncated prismatotesseractihexadecachoron
Cross sections	©
Circumradius	sqrt[4+sqrt(2)] = 2.326846
Coordinates	((1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, (sqrt(2)-1)/2)   & all permutations, all changes of sign
Dihedral angles	at {4} between stop and toe:   135° at {8/3} between cotco and stop:   135° at {6} between cotco and toe:   120° at {4} between girco and stop:   90° at {8} between cotco and girco:   90° at {6} between girco and toe:   60°
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: cotco girco stop toe thatpath 8 8 24 16 )
Face vector	384, 768, 416, 56
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope thatpath is isomorphic to thaquitpath, thereby interchanging the roles of octagrams and octagons, resp. replacing girco by quitco and stop by op.

Incidence matrix according to Dynkin symbol

x3x3x4/3x4*b

. . .   .    | 384 |   1   1   1   1 |  1  1  1  1  1  1 |  1 1  1 1
-------------+-----+-----------------+-------------------+----------
x . .   .    |   2 | 192   *   *   * |  1  1  1  0  0  0 |  1 1  1 0
. x .   .    |   2 |   * 192   *   * |  1  0  0  1  1  0 |  1 1  0 1
. . x   .    |   2 |   *   * 192   * |  0  1  0  1  0  1 |  1 0  1 1
. . .   x    |   2 |   *   *   * 192 |  0  0  1  0  1  1 |  0 1  1 1
-------------+-----+-----------------+-------------------+----------
x3x .   .    |   6 |   3   3   0   0 | 64  *  *  *  *  * |  1 1  0 0
x . x   .    |   4 |   2   0   2   0 |  * 96  *  *  *  * |  1 0  1 0
x . .   x    |   4 |   2   0   0   2 |  *  * 96  *  *  * |  0 1  1 0
. x3x   .    |   6 |   0   3   3   0 |  *  *  * 64  *  * |  1 0  0 1
. x .   x4*b |   8 |   0   4   0   4 |  *  *  *  * 48  * |  0 1  0 1
. . x4/3x    |   8 |   0   0   4   4 |  *  *  *  *  * 48 |  0 0  1 1
-------------+-----+-----------------+-------------------+----------
x3x3x   .    ♦  24 |  12  12  12   0 |  4  6  0  4  0  0 | 16 *  * *
x3x .   x4*b ♦  48 |  24  24   0  24 |  8  0 12  0  6  0 |  * 8  * *
x . x4/3x    ♦  16 |   8   0   8   8 |  0  4  4  0  0  2 |  * * 24 *
. x3x4/3x4*b ♦  48 |   0  24  24  24 |  0  0  0  8  6  6 |  * *  * 8