Acronym girfix
Name great rhombated faceted hexacosachoron
Cross sections
 ©
Circumradius sqrt[28+12 sqrt(5)] = 7.404918
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: grid stip tigid
girfix 120720120
)
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope girfix is isomorphic to gaqrigafix, thereby replacing the decagons by decagrams and the pentagrams by pentagons, resp. replacing grid by gaquatid, the tigid by quit sissid, and stip by pip.


Incidence matrix according to Dynkin symbol

x3x5x5/2o

. . .   . | 7200 |    1    1    2 |    1    2    2    1 |   2   1   1
----------+------+----------------+---------------------+------------
x . .   . |    2 | 3600    *    * |    1    2    0    0 |   2   1   0
. x .   . |    2 |    * 3600    * |    1    0    2    0 |   2   0   1
. . x   . |    2 |    *    * 7200 |    0    1    1    1 |   1   1   1
----------+------+----------------+---------------------+------------
x3x .   . |    6 |    3    3    0 | 1200    *    *    * |   2   0   0
x . x   . |    4 |    2    0    2 |    * 3600    *    * |   1   1   0
. x5x   . |   10 |    0    5    5 |    *    * 1440    * |   1   0   1
. . x5/2o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
----------+------+----------------+---------------------+------------
x3x5x   .   120 |   60   60   60 |   20   30   12    0 | 120   *   *
x . x5/2o    10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x5x5/2o    60 |    0   30   60 |    0    0   12   12 |   *   * 120

x3x5x5/3o

. . .   . | 7200 |    1    1    2 |    1    2    2    1 |   2   1   1
----------+------+----------------+---------------------+------------
x . .   . |    2 | 3600    *    * |    1    2    0    0 |   2   1   0
. x .   . |    2 |    * 3600    * |    1    0    2    0 |   2   0   1
. . x   . |    2 |    *    * 7200 |    0    1    1    1 |   1   1   1
----------+------+----------------+---------------------+------------
x3x .   . |    6 |    3    3    0 | 1200    *    *    * |   2   0   0
x . x   . |    4 |    2    0    2 |    * 3600    *    * |   1   1   0
. x5x   . |   10 |    0    5    5 |    *    * 1440    * |   1   0   1
. . x5/3o |    5 |    0    0    5 |    *    *    * 1440 |   0   1   1
----------+------+----------------+---------------------+------------
x3x5x   .   120 |   60   60   60 |   20   30   12    0 | 120   *   *
x . x5/3o    10 |    5    0   10 |    0    5    0    2 |   * 720   *
. x5x5/3o    60 |    0   30   60 |    0    0   12   12 |   *   * 120

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