Acronym gittith
Name great tesseractitesseractihexadecachoron
Cross sections
 ©
Circumradius sqrt[(3-sqrt(2))/2] = 0.890446
Coordinates ((sqrt(2)-1)/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army tat
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: cube gocco groh querco stop tet trip
quidpith 3200001632
picnut 248000032
gittifcoth 240080160
gaquipadah 1600081632
gittith 88000160
gahfipto 80080032
gnappoth 008001632
& others)
External
links
hedrondude   WikiChoron  

As abstract polytope gittith is isomorphic to steth, thereby replacing octagrams by octagons, resp. gocco by socco.


Incidence matrix according to Dynkin symbol

o3o3x4/3x4*b

. . .   .    | 64 |  3  3 |  3  3  3 |  1 1 3
-------------+----+-------+----------+-------
. . x   .    |  2 | 96  * |  2  0  1 |  1 0 2
. . .   x    |  2 |  * 96 |  0  2  1 |  0 1 2
-------------+----+-------+----------+-------
. o3x   .    |  3 |  3  0 | 64  *  * |  1 0 1
. o .   x4*b |  4 |  0  4 |  * 48  * |  0 1 1
. . x4/3x    |  8 |  4  4 |  *  * 24 |  0 0 2
-------------+----+-------+----------+-------
o3o3x   .      4 |  6  0 |  4  0  0 | 16 * *
o3o .   x4*b   8 |  0 12 |  0  6  0 |  * 8 *
. o3x4/3x4*b  24 | 24 24 |  8  6  6 |  * * 8

o3o3/2x4/3x4/3*b

. .   .   .      | 64 |  3  3 |  3  3  3 |  1 1 3
-----------------+----+-------+----------+-------
. .   x   .      |  2 | 96  * |  2  0  1 |  1 0 2
. .   .   x      |  2 |  * 96 |  0  2  1 |  0 1 2
-----------------+----+-------+----------+-------
. o3/2x   .      |  3 |  3  0 | 64  *  * |  1 0 1
. o   .   x4/3*b |  4 |  0  4 |  * 48  * |  0 1 1
. .   x4/3x      |  8 |  4  4 |  *  * 24 |  0 0 2
-----------------+----+-------+----------+-------
o3o3/2x   .        4 |  6  0 |  4  0  0 | 16 * *
o3o   .   x4/3*b   8 |  0 12 |  0  6  0 |  * 8 *
. o3/2x4/3x4/3*b  24 | 24 24 |  8  6  6 |  * * 8

o3/2o3x4/3x4*b

.   . .   .    | 64 |  3  3 |  3  3  3 |  1 1 3
---------------+----+-------+----------+-------
.   . x   .    |  2 | 96  * |  2  0  1 |  1 0 2
.   . .   x    |  2 |  * 96 |  0  2  1 |  0 1 2
---------------+----+-------+----------+-------
.   o3x   .    |  3 |  3  0 | 64  *  * |  1 0 1
.   o .   x4*b |  4 |  0  4 |  * 48  * |  0 1 1
.   . x4/3x    |  8 |  4  4 |  *  * 24 |  0 0 2
---------------+----+-------+----------+-------
o3/2o3x   .      4 |  6  0 |  4  0  0 | 16 * *
o3/2o .   x4*b   8 |  0 12 |  0  6  0 |  * 8 *
.   o3x4/3x4*b  24 | 24 24 |  8  6  6 |  * * 8

o3/2o3/2x4/3x4/3*b

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

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