Acronym gixipady
Name great hexacosiprismatodishecatonicosachoron
Circumradius sqrt[25-10 sqrt(5)] = 1.624598
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: gaquatid gidditdid giid pip toe tut
gixipady 12012007200600
giphiddix 00120720600600
& others)
Face vector 7200, 18000, 11280, 1560
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope gixipady is isomorphic to sixipady, thereby replacing pentagons by pentagrams and decagrams by decagons, resp. gidditdid by sidditdid, gaquatid by grid, and pip by stip.


Incidence matrix according to Dynkin symbol

x3x3o5x5/3*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
. x3o .      |    3 |    0    3    0 |    *    * 2400    *    * |   1   0   0   1
. x . x5/3*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1   0   1
. . o5x      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x3x3o .         12 |    6   12    0 |    4    0    4    0    0 | 600   *   *   *
x3x . x5/3*b   120 |   60   60   60 |   20   30    0   12    0 |   * 120   *   *
x . o5x         10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3o5x5/3*b    60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120

x3x3/2o5/4x5/3*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
. x3/2o   .      |    3 |    0    3    0 |    *    * 2400    *    * |   1   0   0   1
. x   .   x5/3*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1   0   1
. .   o5/4x      |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-----------------+------+----------------+--------------------------+----------------
x3x3/2o   .         12 |    6   12    0 |    4    0    4    0    0 | 600   *   *   *
x3x   .   x5/3*b   120 |   60   60   60 |   20   30    0   12    0 |   * 120   *   *
x .   o5/4x         10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3/2o5/4x5/3*b    60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120

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