Acronym thaquitpath
Name tesseractihexadecaquasitruncated prismatotesseractihexadecachoron
Cross sections
 ©
Circumradius sqrt[4-sqrt(2)] = 1.608038
Coordinates ((1+sqrt(2))/2, 1/2, (sqrt(2)-1)/2, (2 sqrt(2)-1)/2)   & all permutations, all changes of sign
Dihedral angles
Colonel of regiment (is itself locally convex – no other uniform polychoral members)
External
links
hedrondude   polytopewiki   WikiChoron  

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


Incidence matrix according to Dynkin symbol

x3x3x4x4/3*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 . x4/3*b |   8 |   0   4   0   4 |  *  *  *  * 48  * |  0 1  0 1
. . x4x      |   8 |   0   0   4   4 |  *  *  *  *  * 48 |  0 0  1 1
-------------+-----+-----------------+-------------------+----------
x3x3x .        24 |  12  12  12   0 |  4  6  0  4  0  0 | 16 *  * *
x3x . x4/3*b   48 |  24  24   0  24 |  8  0 12  0  6  0 |  * 8  * *
x . x4x        16 |   8   0   8   8 |  0  4  4  0  0  2 |  * * 24 *
. x3x4x4/3*b   48 |   0  24  24  24 |  0  0  0  8  6  6 |  * *  * 8

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