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 at {8} between cotco and op:   135° at {6} between quitco and toe:   120° at {4} between op and quitco:   90° at {8/3} between cotco and quitco:   90° at {6} between cotco and toe:   60° at {4} between op and toe:   45° Colonel of regiment (is itself locally convex – no other uniform polychoral members) Externallinks

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
```