Acronym	sid thipady
Name	small ditrigonary hecatonicosiprismatodishecatonicosachoron
Circumradius	sqrt[10-3 sqrt(5)] = 1.814331
Colonel of regiment	shipady
Face vector	7200, 18000, 10320, 1080
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope sid thipady is isomorphic to gid thipady, thereby replacing pentagrams by pentagons and interchanging decagrams and decagons, respectively replacing quit gissid by tid, stip by pip, and sidditdid by gidditdid.

Likewise it is isomorphic to mipthi, thereby interchanging decagrams and decagons only, respectively replacing quit gissid by tid, sidditdid by gaddid.

Further it is isomorphic to gapthi, thereby replacing pentagons by pentagrams, respectively stip by pip and sidditdid by saddid.

As such sid thipady is a lieutenant.

Incidence matrix according to Dynkin symbol

x5/3x3o5/3x5*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
.   x3o   .    |    3 |    0    3    0 |    *    * 2400    *    * |   1   0   0   1
.   x .   x5*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1   0   1
.   . o5/3x    |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
---------------+------+----------------+--------------------------+----------------
x5/3x3o   .    ♦   60 |   30   60    0 |   12    0   20    0    0 | 120   *   *   *
x5/3x .   x5*b ♦  120 |   60   60   60 |   12   30    0   12    0 |   * 120   *   *
x   . o5/3x    ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
.   x3o5/3x5*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120

x5/3x3/2o5/2x5*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
.   x3/2o   .    |    3 |    0    3    0 |    *    * 2400    *    * |   1   0   0   1
.   x   .   x5*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1   0   1
.   .   o5/2x    |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-----------------+------+----------------+--------------------------+----------------
x5/3x3/2o   .    ♦   60 |   30   60    0 |   12    0   20    0    0 | 120   *   *   *
x5/3x   .   x5*b ♦  120 |   60   60   60 |   12   30    0   12    0 |   * 120   *   *
x   .   o5/2x    ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
.   x3/2o5/2x5*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120