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

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