Acronym	wavitoth
Name	sphenoverted tesseractitesseractihexadecachoron
Cross sections	©
Circumradius	sqrt[2-sqrt(2)] = 0.765367
Coordinates	((sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army	srit
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gocco groh oct querco quith stop trip wavitoth 8 0 16 0 8 0 0 girdo 0 8 0 0 8 0 32 gaqript 0 8 0 0 0 24 0 qrit 0 0 16 8 0 0 32 gapript 0 0 0 0 8 24 32 & others)
Face vector	96, 288, 200, 32
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope wavitoth is isomorphic to rawvatoth, thereby replacing octagrams by octagons, resp. gocco by socco and quith by tic.

Incidence matrix according to Dynkin symbol

o3x3o4x4/3*b

. . . .      | 96 |   4  2 |  2  2  4  1 |  1 2 2
-------------+----+--------+-------------+-------
. x . .      |  2 | 192  * |  1  1  1  0 |  1 1 1
. . . x      |  2 |   * 96 |  0  0  2  1 |  0 1 2
-------------+----+--------+-------------+-------
o3x . .      |  3 |   3  0 | 64  *  *  * |  1 1 0
. x3o .      |  3 |   3  0 |  * 64  *  * |  1 0 1
. x . x4/3*b |  8 |   4  4 |  *  * 48  * |  0 1 1
. . o4x      |  4 |   0  4 |  *  *  * 24 |  0 0 2
-------------+----+--------+-------------+-------
o3x3o .      ♦  6 |  12  0 |  4  4  0  0 | 16 * *
o3x . x4/3*b ♦ 24 |  24 12 |  8  0  6  0 |  * 8 *
. x3o4x4/3*b ♦ 24 |  24 24 |  0  8  6  6 |  * * 8

o3x3/2o4/3x4/3*b

. .   .   .      | 96 |   4  2 |  2  2  4  1 |  1 2 2
-----------------+----+--------+-------------+-------
. x   .   .      |  2 | 192  * |  1  1  1  0 |  1 1 1
. .   .   x      |  2 |   * 96 |  0  0  2  1 |  0 1 2
-----------------+----+--------+-------------+-------
o3x   .   .      |  3 |   3  0 | 64  *  *  * |  1 1 0
. x3/2o   .      |  3 |   3  0 |  * 64  *  * |  1 0 1
. x   .   x4/3*b |  8 |   4  4 |  *  * 48  * |  0 1 1
. .   o4/3x      |  4 |   0  4 |  *  *  * 24 |  0 0 2
-----------------+----+--------+-------------+-------
o3x3/2o   .      ♦  6 |  12  0 |  4  4  0  0 | 16 * *
o3x   .   x4/3*b ♦ 24 |  24 12 |  8  0  6  0 |  * 8 *
. x3/2o4/3x4/3*b ♦ 24 |  24 24 |  0  8  6  6 |  * * 8

o3/2x3o4x4/3*b

.   . . .      | 96 |   4  2 |  2  2  4  1 |  1 2 2
---------------+----+--------+-------------+-------
.   x . .      |  2 | 192  * |  1  1  1  0 |  1 1 1
.   . . x      |  2 |   * 96 |  0  0  2  1 |  0 1 2
---------------+----+--------+-------------+-------
o3/2x . .      |  3 |   3  0 | 64  *  *  * |  1 1 0
.   x3o .      |  3 |   3  0 |  * 64  *  * |  1 0 1
.   x . x4/3*b |  8 |   4  4 |  *  * 48  * |  0 1 1
.   . o4x      |  4 |   0  4 |  *  *  * 24 |  0 0 2
---------------+----+--------+-------------+-------
o3/2x3o .      ♦  6 |  12  0 |  4  4  0  0 | 16 * *
o3/2x . x4/3*b ♦ 24 |  24 12 |  8  0  6  0 |  * 8 *
.   x3o4x4/3*b ♦ 24 |  24 24 |  0  8  6  6 |  * * 8

o3/2x3/2o4/3x4/3*b

.   .   .   .      | 96 |   4  2 |  2  2  4  1 |  1 2 2
-------------------+----+--------+-------------+-------
.   x   .   .      |  2 | 192  * |  1  1  1  0 |  1 1 1
.   .   .   x      |  2 |   * 96 |  0  0  2  1 |  0 1 2
-------------------+----+--------+-------------+-------
o3/2x   .   .      |  3 |   3  0 | 64  *  *  * |  1 1 0
.   x3/2o   .      |  3 |   3  0 |  * 64  *  * |  1 0 1
.   x   .   x4/3*b |  8 |   4  4 |  *  * 48  * |  0 1 1
.   .   o4/3x      |  4 |   0  4 |  *  *  * 24 |  0 0 2
-------------------+----+--------+-------------+-------
o3/2x3/2o   .      ♦  6 |  12  0 |  4  4  0  0 | 16 * *
o3/2x   .   x4/3*b ♦ 24 |  24 12 |  8  0  6  0 |  * 8 *
.   x3/2o4/3x4/3*b ♦ 24 |  24 24 |  0  8  6  6 |  * * 8