Acronym thatpath
Name tesseractihexadecatruncated prismatotesseractihexadecachoron
Cross sections
 ©
Circumradius sqrt[4+sqrt(2)] = 2.326846
Coordinates ((1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, (sqrt(2)-1)/2)   & all permutations, all changes of sign
Dihedral angles
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: cotco girco stop toe
thatpath 882416
)
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope thatpath is isomorphic to thaquitpath, thereby interchanging the roles of octagrams and octagons, resp. replacing girco by quitco and stop by op.


Incidence matrix according to Dynkin symbol

x3x3x4/3x4*b

. . .   .    | 384 |   1   1   1   1 |  1  1  1  1  1  1 |  1 1  1 1
-------------+-----+-----------------+-------------------+----------
x . .   .    |   2 | 192   *   *   * |  1  1  1  0  0  0 |  1 1  1 0
. x .   .    |   2 |   * 192   *   * |  1  0  0  1  1  0 |  1 1  0 1
. . x   .    |   2 |   *   * 192   * |  0  1  0  1  0  1 |  1 0  1 1
. . .   x    |   2 |   *   *   * 192 |  0  0  1  0  1  1 |  0 1  1 1
-------------+-----+-----------------+-------------------+----------
x3x .   .    |   6 |   3   3   0   0 | 64  *  *  *  *  * |  1 1  0 0
x . x   .    |   4 |   2   0   2   0 |  * 96  *  *  *  * |  1 0  1 0
x . .   x    |   4 |   2   0   0   2 |  *  * 96  *  *  * |  0 1  1 0
. x3x   .    |   6 |   0   3   3   0 |  *  *  * 64  *  * |  1 0  0 1
. x .   x4*b |   8 |   0   4   0   4 |  *  *  *  * 48  * |  0 1  0 1
. . x4/3x    |   8 |   0   0   4   4 |  *  *  *  *  * 48 |  0 0  1 1
-------------+-----+-----------------+-------------------+----------
x3x3x   .      24 |  12  12  12   0 |  4  6  0  4  0  0 | 16 *  * *
x3x .   x4*b   48 |  24  24   0  24 |  8  0 12  0  6  0 |  * 8  * *
x . x4/3x      16 |   8   0   8   8 |  0  4  4  0  0  2 |  * * 24 *
. x3x4/3x4*b   48 |   0  24  24  24 |  0  0  0  8  6  6 |  * *  * 8

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