Acronym	rawvatoth
Name	retrosphenoverted tesseractitesseractihexadacachoron
Cross sections	©
Circumradius	sqrt[2+sqrt(2)] = 1.847759
Coordinates	((1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army	srit
Colonel of regiment	srit
Face vector	96, 288, 200, 32
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

o3x3o4/3x4*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*b |  8 |   4  4 |  *  * 48  * |  0 1 1
. . o4/3x    |  4 |   0  4 |  *  *  * 24 |  0 0 2
-------------+----+--------+-------------+-------
o3x3o   .    ♦  6 |  12  0 |  4  4  0  0 | 16 * *
o3x .   x4*b ♦ 24 |  24 12 |  8  0  6  0 |  * 8 *
. x3o4/3x4*b ♦ 24 |  24 24 |  0  8  6  6 |  * * 8

o3x3/2o4x4*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*b |  8 |   4  4 |  *  * 48  * |  0 1 1
. .   o4x    |  4 |   0  4 |  *  *  * 24 |  0 0 2
-------------+----+--------+-------------+-------
o3x3/2o .    ♦  6 |  12  0 |  4  4  0  0 | 16 * *
o3x   . x4*b ♦ 24 |  24 12 |  8  0  6  0 |  * 8 *
. x3/2o4x4*b ♦ 24 |  24 24 |  0  8  6  6 |  * * 8

o3/2x3o4/3x4*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*b |  8 |   4  4 |  *  * 48  * |  0 1 1
.   . o4/3x    |  4 |   0  4 |  *  *  * 24 |  0 0 2
---------------+----+--------+-------------+-------
o3/2x3o   .    ♦  6 |  12  0 |  4  4  0  0 | 16 * *
o3/2x .   x4*b ♦ 24 |  24 12 |  8  0  6  0 |  * 8 *
.   x3o4/3x4*b ♦ 24 |  24 24 |  0  8  6  6 |  * * 8

o3/2x3/2o4x4*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*b |  8 |   4  4 |  *  * 48  * |  0 1 1
.   .   o4x    |  4 |   0  4 |  *  *  * 24 |  0 0 2
---------------+----+--------+-------------+-------
o3/2x3/2o .    ♦  6 |  12  0 |  4  4  0  0 | 16 * *
o3/2x   . x4*b ♦ 24 |  24 12 |  8  0  6  0 |  * 8 *
.   x3/2o4x4*b ♦ 24 |  24 24 |  0  8  6  6 |  * * 8