Acronym gapript
Name great pseudorhombated prismatotesseract
Cross sections
 ©
Circumradius sqrt[2-sqrt(2)] = 0.765367
Coordinates ((sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2)   & all permutations, all changes of sign
General of army srit
Colonel of regiment wavitoth
Confer gapript+16 2thah  
Face vector 96, 288, 256, 64
External
links
hedrondude   polytopewiki   WikiChoron  

The great pseudorhombated prismatotesseract is an edge-faceting of the quasirhombated tesseract (qrit). In fact it can be seen as reduced( x4/3x3o3/2x , by 2thah ).

As abstract polytope gapript is isomorphic to spript, thereby replacing octagrams by octagons, resp. by replacing quith by tic and replacing stop by op.


Incidence matrix

  96 |   4  2 |  2  2  4  4 |  2 2  4
-----+--------+-------------+--------
   2 | 192  * |  1  1  1  1 |  1 1  2
   2 |   * 96 |  0  0  2  2 |  1 1  2
-----+--------+-------------+--------
   3 |   3  0 | 64  *  *  * |  1 1  0
   4 |   4  0 |  * 48  *  * |  0 0  2
   4 |   2  2 |  *  * 96  * |  1 0  1
   8 |   0  0 |  *  *  * 48 |  0 1  1
-----+--------+-------------+--------
  6 |   6  3 |  2  0  3  0 | 32 *  *
 24 |  24 12 |  8  0  0  6 |  * 8  *
 16 |  16  8 |  0  4  4  2 |  * * 24

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