Acronym sid tipathi Name small ditrigonary prismatotriakishecatonicosachoron Circumradius sqrt[13+2 sqrt(5)] = 4.179968 Colonel of regiment sphixhi Externallinks

As abstract polytope sid tipathi is isomorphic to gid tipathi, thereby replacing pentagrams by pentagons and decagons by decagrams, respectively grid by gaquatid, tiggy by ti, and sidditdid by gidditdid. – As such sid tipathi is a lieutenant.

Incidence matrix according to Dynkin symbol

```x3x5/3o3x5*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
-------------+------+----------------+--------------------------+-----------------
x3x   . .    |    6 |    3    3    0 | 2400    *    *    *    * |   1   1    0   0
x .   . x    |    4 |    2    0    2 |    * 3600    *    *    * |   0   1    1   0
. x5/3o .    |    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
-------------+------+----------------+--------------------------+-----------------
x3x5/3o .    ♦   60 |   30   60    0 |   20    0   12    0    0 | 120   *    *   *
x3x   . x5*b ♦  120 |   60   60   60 |   20   30    0   12    0 |   * 120    *   *
x .   o3x    ♦    6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
. x5/3o3x5*b ♦   60 |    0   60   60 |    0    0   12   12   20 |   *   *    * 120
```

```x3x5/2o3/2x5*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
---------------+------+----------------+--------------------------+-----------------
x3x   .   .    |    6 |    3    3    0 | 2400    *    *    *    * |   1   1    0   0
x .   .   x    |    4 |    2    0    2 |    * 3600    *    *    * |   0   1    1   0
. x5/2o   .    |    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
---------------+------+----------------+--------------------------+-----------------
x3x5/2o   .    ♦   60 |   30   60    0 |   20    0   12    0    0 | 120   *    *   *
x3x   .   x5*b ♦  120 |   60   60   60 |   20   30    0   12    0 |   * 120    *   *
x .   o3/2x    ♦    6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
. x5/2o3/2x5*b ♦   60 |    0   60   60 |    0    0   12   12   20 |   *   *    * 120
```