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
External
links
hedrondude   polytopewiki   WikiChoron  

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

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