Acronym thatoth
Name tesseractihexadecatruncated tesseractihexadecachoron
Cross sections
 ©
Circumradius sqrt[(5+sqrt(2))/2] = 1.790840
Coordinates ((1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, (sqrt(2)-1)/2)   & all permutations, all changes of sign
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: cotco tic tut
thatoth 8816
)
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope thatoth is isomorphic to thaquitoth, thereby interchanging the roles of octagrams and octagons, resp. replacing tic by quith.


Incidence matrix according to Dynkin symbol

o3x3x4/3x4*b

. . .   .    | 192 |   2  1  1 |  1  2  2  1 |  1 1 2
-------------+-----+-----------+-------------+-------
. x .   .    |   2 | 192  *  * |  1  1  1  0 |  1 1 1
. . x   .    |   2 |   * 96  * |  0  2  0  1 |  1 0 2
. . .   x    |   2 |   *  * 96 |  0  0  2  1 |  0 1 2
-------------+-----+-----------+-------------+-------
o3x .   .    |   3 |   3  0  0 | 64  *  *  * |  1 1 0
. x3x   .    |   6 |   3  3  0 |  * 64  *  * |  1 0 1
. x .   x4*b |   8 |   4  0  4 |  *  * 48  * |  0 1 1
. . x4/3x    |   8 |   0  4  4 |  *  *  * 24 |  0 0 2
-------------+-----+-----------+-------------+-------
o3x3x   .      12 |  12  6  0 |  4  4  0  0 | 16 * *
o3x .   x4*b   24 |  24  0 12 |  8  0  6  0 |  * 8 *
. x3x4/3x4*b   48 |  24 24 24 |  0  8  6  6 |  * * 8

o3/2x3x4/3x4*b

.   . .   .    | 192 |   2  1  1 |  1  2  2  1 |  1 1 2
---------------+-----+-----------+-------------+-------
.   x .   .    |   2 | 192  *  * |  1  1  1  0 |  1 1 1
.   . x   .    |   2 |   * 96  * |  0  2  0  1 |  1 0 2
.   . .   x    |   2 |   *  * 96 |  0  0  2  1 |  0 1 2
---------------+-----+-----------+-------------+-------
o3/2x .   .    |   3 |   3  0  0 | 64  *  *  * |  1 1 0
.   x3x   .    |   6 |   3  3  0 |  * 64  *  * |  1 0 1
.   x .   x4*b |   8 |   4  0  4 |  *  * 48  * |  0 1 1
.   . x4/3x    |   8 |   0  4  4 |  *  *  * 24 |  0 0 2
---------------+-----+-----------+-------------+-------
o3/2x3x   .      12 |  12  6  0 |  4  4  0  0 | 16 * *
o3/2x .   x4*b   24 |  24  0 12 |  8  0  6  0 |  * 8 *
.   x3x4/3x4*b   48 |  24 24 24 |  0  8  6  6 |  * * 8

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