Acronym	sid tipathi
Name	small ditrigonary prismatotriakishecatonicosachoron
Circumradius	sqrt[13+2 sqrt(5)] = 4.179968
Colonel of regiment	sphixhi
Face vector	7200, 18000, 11280, 1560
Confer	general polytopal classes: Wythoffian polychora
External links

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