Acronym	giphidy
Name	great prismated hecatonicosadishecatonicosachoron
Circumradius	sqrt[13-5 sqrt(5)] = 1.348948
Colonel of regiment	quippirgashi
Face vector	7200, 18000, 10320, 1080
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope giphidy is isomorphic to siphidy, thereby replacing the decagrams by decagons and interchanging the roles of pentagons and pentagrams, resp. replacing the quit sissid by tigid, the gaquatid by grid, and the stip by pip.

Incidence matrix according to Dynkin symbol

x5/3x3x5/3o5*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
---------------+------+----------------+--------------------------+----------------
x5/3x .   .    |   10 |    5    5    0 | 1440    *    *    *    * |   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*b |    5 |    0    5    0 |    *    *    * 1440    * |   0   1   0   1
.   . x5/3o    |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+--------------------------+----------------
x5/3x3x   .    ♦  120 |   60   60   60 |   12   30   20    0    0 | 120   *   *   *
x5/3x .   o5*b ♦   60 |   30   60    0 |   12    0    0   12    0 |   * 120   *   *
x   . x5/3o    ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
.   x3x5/3o5*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120

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