Acronym gisdipthi Name great stellated dipental trishecatonicosachoron Circumradius sqrt[4-sqrt(5)] = 1.328131 Colonel of regiment gidipthi Externallinks

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
```