Acronym shihix
Name small hecatonicosihecatonicosihexacosachoron
Cross sections
 ©
Circumradius sqrt[(11+3 sqrt(5))/2] = 2.975584
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: gissid siid tet tid tigid
shihix 12012060000
sixhidy 1200600120120
& others)
External
links
hedrondude   WikiChoron  

As abstract polytope shihix is isomorphical to gohihix, thereby replacinging pentagrams by pentagons, respectively replacinging gissid by doe and siid by giid.


Incidence matrix according to Dynkin symbol

o3o3x3x5/2*b

. . . .      | 2400 |    3    3 |    3    3    3 |   1   1   3
-------------+------+-----------+----------------+------------
. . x .      |    2 | 3600    * |    2    0    1 |   1   0   2
. . . x      |    2 |    * 3600 |    0    2    1 |   0   1   2
-------------+------+-----------+----------------+------------
. o3x .      |    3 |    3    0 | 2400    *    * |   1   0   1
. o . x5/2*b |    5 |    0    5 |    * 1440    * |   0   1   1
. . x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
-------------+------+-----------+----------------+------------
o3o3x .          4 |    6    0 |    4    0    0 | 600   *   *
o3o . x5/2*b    20 |    0   30 |    0   12    0 |   * 120   *
. o3x3x5/2*b    60 |   60   60 |   20   12   20 |   *   * 120

o3o3/2x3x5/3*b

. .   . .      | 2400 |    3    3 |    3    3    3 |   1   1   3
---------------+------+-----------+----------------+------------
. .   x .      |    2 | 3600    * |    2    0    1 |   1   0   2
. .   . x      |    2 |    * 3600 |    0    2    1 |   0   1   2
---------------+------+-----------+----------------+------------
. o3/2x .      |    3 |    3    0 | 2400    *    * |   1   0   1
. o   . x5/3*b |    5 |    0    5 |    * 1440    * |   0   1   1
. .   x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
---------------+------+-----------+----------------+------------
o3o3/2x .          4 |    6    0 |    4    0    0 | 600   *   *
o3o   . x5/3*b    20 |    0   30 |    0   12    0 |   * 120   *
. o3/2x3x5/3*b    60 |   60   60 |   20   12   20 |   *   * 120

o3/2o3x3x5/2*b

.   . . .      | 2400 |    3    3 |    3    3    3 |   1   1   3
---------------+------+-----------+----------------+------------
.   . x .      |    2 | 3600    * |    2    0    1 |   1   0   2
.   . . x      |    2 |    * 3600 |    0    2    1 |   0   1   2
---------------+------+-----------+----------------+------------
.   o3x .      |    3 |    3    0 | 2400    *    * |   1   0   1
.   o . x5/2*b |    5 |    0    5 |    * 1440    * |   0   1   1
.   . x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
---------------+------+-----------+----------------+------------
o3/2o3x .          4 |    6    0 |    4    0    0 | 600   *   *
o3/2o . x5/2*b    20 |    0   30 |    0   12    0 |   * 120   *
.   o3x3x5/2*b    60 |   60   60 |   20   12   20 |   *   * 120

o3/2o3/2x3x5/3*b

.   .   . .      | 2400 |    3    3 |    3    3    3 |   1   1   3
-----------------+------+-----------+----------------+------------
.   .   x .      |    2 | 3600    * |    2    0    1 |   1   0   2
.   .   . x      |    2 |    * 3600 |    0    2    1 |   0   1   2
-----------------+------+-----------+----------------+------------
.   o3/2x .      |    3 |    3    0 | 2400    *    * |   1   0   1
.   o   . x5/3*b |    5 |    0    5 |    * 1440    * |   0   1   1
.   .   x3x      |    6 |    3    3 |    *    * 1200 |   0   0   2
-----------------+------+-----------+----------------+------------
o3/2o3/2x .          4 |    6    0 |    4    0    0 | 600   *   *
o3/2o   . x5/3*b    20 |    0   30 |    0   12    0 |   * 120   *
.   o3/2x3x5/3*b    60 |   60   60 |   20   12   20 |   *   * 120

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