Acronym	giphihix
Name	great prismatohecatonicosahecatonicosahexacosachoron
Circumradius	sqrt[17-6 sqrt(5)] = 1.893038
Colonel of regiment	pirgaghi
Face vector	7200, 18000, 11280, 1560
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope giphihix is isomorphic to sphihix, thereby interchanging the roles of pentagons and pentagrams, resp. replacing pip by stip and tiggy by ti.

Incidence matrix according to Dynkin symbol

     x     
   3 |     
     x     
  3 / \ 5/3
   x---o   
     5     

x3x3x5o5/3*b

. . . .      | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1   1   1
-------------+------+----------------+--------------------------+----------------
x . . .      |    2 | 3600    *    * |    2    2    0    0    0 |   2   1   1   0
. x . .      |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. . x .      |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0   1   1
-------------+------+----------------+--------------------------+----------------
x3x . .      |    6 |    3    3    0 | 2400    *    *    *    * |   1   1   0   0
x . x .      |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
. x3x .      |    6 |    0    3    3 |    *    * 2400    *    * |   1   0   0   1
. x . o5/3*b |    5 |    0    5    0 |    *    *    * 1440    * |   0   1   0   1
. . x5o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x3x3x .      ♦   24 |   12   12   12 |    4    6    4    0    0 | 600   *   *   *
x3x . o5/3*b ♦   60 |   30   60    0 |   20    0    0   12    0 |   * 120   *   *
x . x5o      ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5o5/3*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120

     x     
   3 |     
     x     
  3 / \ 5/2
   x---o   
    5/4     

x3x3x5/4o5/2*b

. . .   .      | 7200 |    1    2    2 |    2    2    2    1    1 |   2   1   1   1
---------------+------+----------------+--------------------------+----------------
x . .   .      |    2 | 3600    *    * |    2    2    0    0    0 |   2   1   1   0
. x .   .      |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. . x   .      |    2 |    *    * 7200 |    0    1    1    0    1 |   1   0   1   1
---------------+------+----------------+--------------------------+----------------
x3x .   .      |    6 |    3    3    0 | 2400    *    *    *    * |   1   1   0   0
x . x   .      |    4 |    2    0    2 |    * 3600    *    *    * |   1   0   1   0
. x3x   .      |    6 |    0    3    3 |    *    * 2400    *    * |   1   0   0   1
. x .   o5/2*b |    5 |    0    5    0 |    *    *    * 1440    * |   0   1   0   1
. . x5/4o      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+--------------------------+----------------
x3x3x   .      ♦   24 |   12   12   12 |    4    6    4    0    0 | 600   *   *   *
x3x .   o5/2*b ♦   60 |   30   60    0 |   20    0    0   12    0 |   * 120   *   *
x . x5/4o      ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3x5/4o5/2*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120