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

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