Acronym	thaquitpath
Name	tesseractihexadecaquasitruncated prismatotesseractihexadecachoron
Cross sections	©
Circumradius	sqrt[4-sqrt(2)] = 1.608038
Coordinates	((1+sqrt(2))/2, 1/2, (sqrt(2)-1)/2, (2 sqrt(2)-1)/2)   & all permutations, all changes of sign
Dihedral angles	at {8} between cotco and op:   135° at {6} between quitco and toe:   120° at {4} between op and quitco:   90° at {8/3} between cotco and quitco:   90° at {6} between cotco and toe:   60° at {4} between op and toe:   45°
Colonel of regiment	(is itself locally convex – no other uniform polychoral members)
Face vector	384, 768, 416, 56
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

x3x3x4x4/3*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 . x4/3*b |   8 |   0   4   0   4 |  *  *  *  * 48  * |  0 1  0 1
. . x4x      |   8 |   0   0   4   4 |  *  *  *  *  * 48 |  0 0  1 1
-------------+-----+-----------------+-------------------+----------
x3x3x .      ♦  24 |  12  12  12   0 |  4  6  0  4  0  0 | 16 *  * *
x3x . x4/3*b ♦  48 |  24  24   0  24 |  8  0 12  0  6  0 |  * 8  * *
x . x4x      ♦  16 |   8   0   8   8 |  0  4  4  0  0  2 |  * * 24 *
. x3x4x4/3*b ♦  48 |   0  24  24  24 |  0  0  0  8  6  6 |  * *  * 8