Acronym gipthi Name great prismatotriakishecatonicosachoron Circumradius sqrt[8+2 sqrt(5)] = 3.531591 Colonel of regiment quippirfix Externallinks

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
```