Acronym sixathi
Name small hexacositriakishecatonicosachoron
Circumradius sqrt[10-2 sqrt(5)] = 2.351141
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: gaquatid idtid quit sissid saddid srid tut
sixathi 12001200120600
hixquitixhi 01201201200600
& others)
External
links
hedrondude   WikiChoron  

As abstract polytope sixathi is isomorphical to gixathi, thereby replacinging decagrams by decagons and pentagons by pentagrams, respectively replacinging srid by qrid, quit sissid by tigid, and gaquatid by grid.


Incidence matrix according to Dynkin symbol

x3x3o5x5/3*a

. . . .      | 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 . . x5/3*a |   10 |    5    0    5 |    * 1440    *    *    * |   0   1   1   0
. x3o .      |    3 |    0    3    0 |    *    * 2400    *    * |   1   0   0   1
. x . x      |    4 |    0    2    2 |    *    *    * 3600    * |   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*a   120 |   60   60   60 |   20   12    0   30    0 |   * 120   *   *
x . o5x5/3*a    60 |   30    0   60 |    0   12    0    0   12 |   *   * 120   *
. x3o5x         60 |    0   60   60 |    0    0   20   30   12 |   *   *   * 120

x3x3/2o5/4x5/3*a

. .   .   .      | 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 .   .   x5/3*a |   10 |    5    0    5 |    * 1440    *    *    * |   0   1   1   0
. x3/2o   .      |    3 |    0    3    0 |    *    * 2400    *    * |   1   0   0   1
. x   .   x      |    4 |    0    2    2 |    *    *    * 3600    * |   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*a   120 |   60   60   60 |   20   12    0   30    0 |   * 120   *   *
x .   o5/4x5/3*a    60 |   30    0   60 |    0   12    0    0   12 |   *   * 120   *
. x3/2o5/4x         60 |    0   60   60 |    0    0   20   30   12 |   *   *   * 120

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