Acronym sixhidy
Name small hexacosihecatonicosadishecatonicosachoron
Cross sections
 ©
Circumradius sqrt[(11+3 sqrt(5))/2] = 2.975584
Colonel of regiment shihix
Face vector 2400, 7200, 5280, 960
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron

As abstract polytope sixhidy is isomorphical to gixhidy, thereby replacinging decagons by decagrams and pentagrams by pentagons, respectively replacinging tid by quit gissid, tigid by quit sissid, and gissid by doe. – As such sixhidy is a lieutenant.


Incidence matrix according to Dynkin symbol

x3o3o5/3x5*a

. . .   .    | 2400 |    3    3 |    3    6    3 |   1   3   3   1
-------------+------+-----------+----------------+----------------
x . .   .    |    2 | 3600    * |    2    2    0 |   1   2   1   0
. . .   x    |    2 |    * 3600 |    0    2    2 |   0   1   2   1
-------------+------+-----------+----------------+----------------
x3o .   .    |    3 |    3    0 | 2400    *    * |   1   1   0   0
x . .   x5*a |   10 |    5    5 |    * 1440    * |   0   1   1   0
. . o5/3x    |    5 |    0    5 |    *    * 1440 |   0   0   1   1
-------------+------+-----------+----------------+----------------
x3o3o   .        4 |    6    0 |    4    0    0 | 600   *   *   *
x3o .   x5*a    60 |   60   30 |   20   12    0 |   * 120   *   *
x . o5/3x5*a    60 |   30   60 |    0   12   12 |   *   * 120   *
. o3o5/3x       20 |    0   30 |    0    0   12 |   *   *   * 120

x3o3/2o5/2x5*a

. .   .   .    | 2400 |    3    3 |    3    6    3 |   1   3   3   1
---------------+------+-----------+----------------+----------------
x .   .   .    |    2 | 3600    * |    2    2    0 |   1   2   1   0
. .   .   x    |    2 |    * 3600 |    0    2    2 |   0   1   2   1
---------------+------+-----------+----------------+----------------
x3o   .   .    |    3 |    3    0 | 2400    *    * |   1   1   0   0
x .   .   x5*a |   10 |    5    5 |    * 1440    * |   0   1   1   0
. .   o5/2x    |    5 |    0    5 |    *    * 1440 |   0   0   1   1
---------------+------+-----------+----------------+----------------
x3o3/2o   .        4 |    6    0 |    4    0    0 | 600   *   *   *
x3o   .   x5*a    60 |   60   30 |   20   12    0 |   * 120   *   *
x .   o5/2x5*a    60 |   30   60 |    0   12   12 |   *   * 120   *
. o3/2o5/2x       20 |    0   30 |    0    0   12 |   *   *   * 120

x3/2o3o5/2x5*a

.   . .   .    | 2400 |    3    3 |    3    6    3 |   1   3   3   1
---------------+------+-----------+----------------+----------------
x   . .   .    |    2 | 3600    * |    2    2    0 |   1   2   1   0
.   . .   x    |    2 |    * 3600 |    0    2    2 |   0   1   2   1
---------------+------+-----------+----------------+----------------
x3/2o .   .    |    3 |    3    0 | 2400    *    * |   1   1   0   0
x   . .   x5*a |   10 |    5    5 |    * 1440    * |   0   1   1   0
.   . o5/2x    |    5 |    0    5 |    *    * 1440 |   0   0   1   1
---------------+------+-----------+----------------+----------------
x3/2o3o   .        4 |    6    0 |    4    0    0 | 600   *   *   *
x3/2o .   x5*a    60 |   60   30 |   20   12    0 |   * 120   *   *
x   . o5/2x5*a    60 |   30   60 |    0   12   12 |   *   * 120   *
.   o3o5/2x       20 |    0   30 |    0    0   12 |   *   *   * 120

x3/2o3/2o5/3x5*a

.   .   .   .    | 2400 |    3    3 |    3    6    3 |   1   3   3   1
-----------------+------+-----------+----------------+----------------
x   .   .   .    |    2 | 3600    * |    2    2    0 |   1   2   1   0
.   .   .   x    |    2 |    * 3600 |    0    2    2 |   0   1   2   1
-----------------+------+-----------+----------------+----------------
x3/2o   .   .    |    3 |    3    0 | 2400    *    * |   1   1   0   0
x   .   .   x5*a |   10 |    5    5 |    * 1440    * |   0   1   1   0
.   .   o5/3x    |    5 |    0    5 |    *    * 1440 |   0   0   1   1
-----------------+------+-----------+----------------+----------------
x3/2o3/2o   .        4 |    6    0 |    4    0    0 | 600   *   *   *
x3/2o   .   x5*a    60 |   60   30 |   20   12    0 |   * 120   *   *
x   .   o5/3x5*a    60 |   30   60 |    0   12   12 |   *   * 120   *
.   o3/2o5/3x       20 |    0   30 |    0    0   12 |   *   *   * 120

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