Acronym	gipthi
Name	great prismatotriakishecatonicosachoron
Circumradius	sqrt[8+2 sqrt(5)] = 3.531591
Colonel of regiment	quippirfix
Face vector	7200, 18000, 10320, 1560
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gipthi is isomorphic to sipthi, thereby interchanging the roles of decagons and decagrams and replacing the pentagons by pentagrams, respectively replacing quit sissid by tigid and saddid by gaddid. – As such gipthi is a lieutenant.

Incidence matrix according to Dynkin symbol

x5/3x5o3/2x5*b

.   . .   .    | 7200 |    1    2    2 |    2    2    1    2    1 |   1   2    1   1
---------------+------+----------------+--------------------------+-----------------
x   . .   .    |    2 | 3600    *    * |    2    2    0    0    0 |   1   2    1   0
.   x .   .    |    2 |    * 7200    * |    1    0    1    1    0 |   1   1    0   1
.   . .   x    |    2 |    *    * 7200 |    0    1    0    1    1 |   0   1    1   1
---------------+------+----------------+--------------------------+-----------------
x5/3x .   .    |   10 |    5    5    0 | 1440    *    *    *    * |   1   1    0   0
x   . .   x    |    4 |    2    0    2 |    * 3600    *    *    * |   0   1    1   0
.   x5o   .    |    5 |    0    5    0 |    *    * 1440    *    * |   1   0    0   1
.   x .   x5*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1    0   1
.   . o3/2x    |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
---------------+------+----------------+--------------------------+-----------------
x5/3x5o   .    ♦   60 |   30   60    0 |   12    0   12    0    0 | 120   *    *   *
x5/3x .   x5*b ♦  120 |   60   60   60 |   12   30    0   12    0 |   * 120    *   *
x   . o3/2x    ♦    6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
.   x5o3/2x5*b ♦   60 |    0   60   60 |    0    0   12   12   20 |   *   *    * 120

x5/3x5/4o3x5*b

.   .   . .    | 7200 |    1    2    2 |    2    2    1    2    1 |   1   2    1   1
---------------+------+----------------+--------------------------+-----------------
x   .   . .    |    2 | 3600    *    * |    2    2    0    0    0 |   1   2    1   0
.   x   . .    |    2 |    * 7200    * |    1    0    1    1    0 |   1   1    0   1
.   .   . x    |    2 |    *    * 7200 |    0    1    0    1    1 |   0   1    1   1
---------------+------+----------------+--------------------------+-----------------
x5/3x   . .    |   10 |    5    5    0 | 1440    *    *    *    * |   1   1    0   0
x   .   . x    |    4 |    2    0    2 |    * 3600    *    *    * |   0   1    1   0
.   x5/4o .    |    5 |    0    5    0 |    *    * 1440    *    * |   1   0    0   1
.   x   . x5*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1    0   1
.   .   o3x    |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
---------------+------+----------------+--------------------------+-----------------
x5/3x5/4o .    ♦   60 |   30   60    0 |   12    0   12    0    0 | 120   *    *   *
x5/3x   . x5*b ♦  120 |   60   60   60 |   12   30    0   12    0 |   * 120    *   *
x   .   o3x    ♦    6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
.   x5/4o3x5*b ♦   60 |    0   60   60 |    0    0   12   12   20 |   *   *    * 120