Acronym gid tipathi
Name great ditrigonal prismatotriakishecatonicosachoron
Circumradius sqrt[13-2 sqrt(5)] = 2.920251
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: gaquatid gidditdid giid ti toe trip
gid tipathi 120120012001200
giphixhi 001201206001200
& others)
External
links
hedrondude   WikiChoron  

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


Incidence matrix according to Dynkin symbol

x3x5o3x5/3*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
. x5o .      |    5 |    0    5    0 |    *    * 1440    *    * |   1   0    0   1
. x . x5/3*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1    0   1
. . o3x      |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
-------------+------+----------------+--------------------------+-----------------
x3x5o .         60 |   30   60    0 |   20    0   12    0    0 | 120   *    *   *
x3x . x5/3*b   120 |   60   60   60 |   20   30    0   12    0 |   * 120    *   *
x . o3x          6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
. x5o3x5/3*b    60 |    0   60   60 |    0    0   12   12   20 |   *   *    * 120

x3x5/4o3/2x5/3*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
. x5/4o   .      |    5 |    0    5    0 |    *    * 1440    *    * |   1   0    0   1
. x   .   x5/3*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1    0   1
. .   o3/2x      |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
-----------------+------+----------------+--------------------------+-----------------
x3x5/4o   .         60 |   30   60    0 |   20    0   12    0    0 | 120   *    *   *
x3x   .   x5/3*b   120 |   60   60   60 |   20   30    0   12    0 |   * 120    *   *
x .   o3/2x          6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
. x5/4o3/2x5/3*b    60 |    0   60   60 |    0    0   12   12   20 |   *   *    * 120

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