Acronym	gisdipthi
Name	great stellated dipental trishecatonicosachoron
Circumradius	sqrt[4-sqrt(5)] = 1.328131
Colonel of regiment	gidipthi
Face vector	1440, 7200, 4560, 360
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope gisdipthi is isomorphic to sisdipthi, thereby interchanging pentagrams and pentagons and replacing the decagrams by decagons, respectively gike by ike, gad by sissid, and gidditdid by sidditdid.

Further it is isomorphic to gidipthi, thereby likewise interchanging pentagons and pentagrams, but maintaining the decagrams, respectively replacing gike by ike, gad by sissid, and gidditdid by gaddid.

Finally it is isomorphic to sidipthi, thereby maintaining pentagons and pentagrams, but replacing the decagrams by decagons, respectively replacing gidditdid by saddid.

Incidence matrix according to Dynkin symbol

o5/2o3x5/3x5*b

.   . .   .    | 1440 |    5    5 |    5    5   5 |   1   1   5
---------------+------+-----------+---------------+------------
.   . x   .    |    2 | 3600    * |    2    0   1 |   1   0   2
.   . .   x    |    2 |    * 3600 |    0    2   1 |   0   1   2
---------------+------+-----------+---------------+------------
.   o3x   .    |    3 |    3    0 | 2400    *   * |   1   0   1
.   o .   x5*b |    5 |    0    5 |    * 1440   * |   0   1   1
.   . x5/3x    |   10 |    5    5 |    *    * 720 |   0   0   2
---------------+------+-----------+---------------+------------
o5/2o3x   .    ♦   12 |   30    0 |   20    0   0 | 120   *   *
o5/2o .   x5*b ♦   12 |    0   30 |    0   12   0 |   * 120   *
.   o3x5/3x5*b ♦   60 |   60   60 |   20   12  12 |   *   * 120

o5/2o3/2x5/3x5/4*b

.   .   .   .      | 1440 |    5    5 |    5    5   5 |   1   1   5
-------------------+------+-----------+---------------+------------
.   .   x   .      |    2 | 3600    * |    2    0   1 |   1   0   2
.   .   .   x      |    2 |    * 3600 |    0    2   1 |   0   1   2
-------------------+------+-----------+---------------+------------
.   o3/2x   .      |    3 |    3    0 | 2400    *   * |   1   0   1
.   o   .   x5/4*b |    5 |    0    5 |    * 1440   * |   0   1   1
.   .   x5/3x      |   10 |    5    5 |    *    * 720 |   0   0   2
-------------------+------+-----------+---------------+------------
o5/2o3/2x   .      ♦   12 |   30    0 |   20    0   0 | 120   *   *
o5/2o   .   x5/4*b ♦   12 |    0   30 |    0   12   0 |   * 120   *
.   o3/2x5/3x5/4*b ♦   60 |   60   60 |   20   12  12 |   *   * 120

o5/3o3x5/3x5*b

.   . .   .    | 1440 |    5    5 |    5    5   5 |   1   1   5
---------------+------+-----------+---------------+------------
.   . x   .    |    2 | 3600    * |    2    0   1 |   1   0   2
.   . .   x    |    2 |    * 3600 |    0    2   1 |   0   1   2
---------------+------+-----------+---------------+------------
.   o3x   .    |    3 |    3    0 | 2400    *   * |   1   0   1
.   o .   x5*b |    5 |    0    5 |    * 1440   * |   0   1   1
.   . x5/3x    |   10 |    5    5 |    *    * 720 |   0   0   2
---------------+------+-----------+---------------+------------
o5/3o3x   .    ♦   12 |   30    0 |   20    0   0 | 120   *   *
o5/3o .   x5*b ♦   12 |    0   30 |    0   12   0 |   * 120   *
.   o3x5/3x5*b ♦   60 |   60   60 |   20   12  12 |   *   * 120

o5/3o3/2x5/3x5/4*b

.   .   .   .      | 1440 |    5    5 |    5    5   5 |   1   1   5
-------------------+------+-----------+---------------+------------
.   .   x   .      |    2 | 3600    * |    2    0   1 |   1   0   2
.   .   .   x      |    2 |    * 3600 |    0    2   1 |   0   1   2
-------------------+------+-----------+---------------+------------
.   o3/2x   .      |    3 |    3    0 | 2400    *   * |   1   0   1
.   o   .   x5/4*b |    5 |    0    5 |    * 1440   * |   0   1   1
.   .   x5/3x      |   10 |    5    5 |    *    * 720 |   0   0   2
-------------------+------+-----------+---------------+------------
o5/3o3/2x   .      ♦   12 |   30    0 |   20    0   0 | 120   *   *
o5/3o   .   x5/4*b ♦   12 |    0   30 |    0   12   0 |   * 120   *
.   o3/2x5/3x5/4*b ♦   60 |   60   60 |   20   12  12 |   *   * 120