Acronym steth
Name small tesseractitesseractihexadecachoron
Cross sections
 ©
Circumradius sqrt[(3+sqrt(2))/2] = 1.485633
Coordinates ((1+sqrt(2))/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army sidpith
Colonel of regiment sidpith
External
links
hedrondude   polytopewiki   WikiChoron  

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


Incidence matrix according to Dynkin symbol

o3o3x4x4/3*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
-------------+----+-------+----------+-------
. o3x .      |  3 |  3  0 | 64  *  * |  1 0 1
. o . x4/3*b |  4 |  0  4 |  * 48  * |  0 1 1
. . x4x      |  8 |  4  4 |  *  * 24 |  0 0 2
-------------+----+-------+----------+-------
o3o3x .        4 |  6  0 |  4  0  0 | 16 * *
o3o . x4/3*b   8 |  0 12 |  0  6  0 |  * 8 *
. o3x4x4/3*b  24 | 24 24 |  8  6  6 |  * * 8

o3o3/2x4x4*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*b |  4 |  0  4 |  * 48  * |  0 1 1
. .   x4x    |  8 |  4  4 |  *  * 24 |  0 0 2
-------------+----+-------+----------+-------
o3o3/2x .      4 |  6  0 |  4  0  0 | 16 * *
o3o   . x4*b   8 |  0 12 |  0  6  0 |  * 8 *
. o3/2x4x4*b  24 | 24 24 |  8  6  6 |  * * 8

o3/2o3x4x4/3*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
---------------+----+-------+----------+-------
.   o3x .      |  3 |  3  0 | 64  *  * |  1 0 1
.   o . x4/3*b |  4 |  0  4 |  * 48  * |  0 1 1
.   . x4x      |  8 |  4  4 |  *  * 24 |  0 0 2
---------------+----+-------+----------+-------
o3/2o3x .        4 |  6  0 |  4  0  0 | 16 * *
o3/2o . x4/3*b   8 |  0 12 |  0  6  0 |  * 8 *
.   o3x4x4/3*b  24 | 24 24 |  8  6  6 |  * * 8

o3/2o3/2x4x4*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*b |  4 |  0  4 |  * 48  * |  0 1 1
.   .   x4x    |  8 |  4  4 |  *  * 24 |  0 0 2
---------------+----+-------+----------+-------
o3/2o3/2x .      4 |  6  0 |  4  0  0 | 16 * *
o3/2o   . x4*b   8 |  0 12 |  0  6  0 |  * 8 *
.   o3/2x4x4*b  24 | 24 24 |  8  6  6 |  * * 8

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