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 80160800
gaqript 08000240
qrit 001680032
gapript 000082432
& others)
External
links
hedrondude   WikiChoron  

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

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