Acronym qragishi (old: qraghi)
Name quasirhombated grand stellated hecatonicosachoron
Circumradius sqrt[5-sqrt(5)] = 1.662508
Face vector 3600, 10800, 8160, 960
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki  

As abstract polytope qragishi is isomorphic to sraghi, thereby interchanging pentagrams and pentagons, resp. replacing pip by stip, qrid by srid, and id by gid. – As such qragishi is a lieutenant.


Incidence matrix according to Dynkin symbol

x5/2o3/2x5o
  
.   .   . . | 3600 |    2    4 |   1    4    2    2 |   2   2   1
------------+------+-----------+--------------------+------------
x   .   . . |    2 | 3600    * |   1    2    0    0 |   2   1   0
.   .   x . |    2 |    * 7200 |   0    1    1    1 |   1   1   1
------------+------+-----------+--------------------+------------
x5/2o   . . |    5 |    5    0 | 720    *    *    * |   2   0   0
x   .   x . |    4 |    2    2 |   * 3600    *    * |   1   1   0
.   o3/2x . |    3 |    0    3 |   *    * 2400    * |   1   0   1
.   .   x5o |    5 |    0    5 |   *    *    * 1440 |   0   1   1
------------+------+-----------+--------------------+------------
x5/2o3/2x .    60 |   60   60 |  12   30   20    0 | 120   *   *
x   .   x5o    10 |    5   10 |   0    5    0    2 |   * 720   *
.   o3/2x5o    30 |    0   60 |   0    0   20   12 |   *   * 120

x5/2o3/2x5/4o
  
.   .   .   . | 3600 |    2    4 |   1    4    2    2 |   2   2   1
--------------+------+-----------+--------------------+------------
x   .   .   . |    2 | 3600    * |   1    2    0    0 |   2   1   0
.   .   x   . |    2 |    * 7200 |   0    1    1    1 |   1   1   1
--------------+------+-----------+--------------------+------------
x5/2o   .   . |    5 |    5    0 | 720    *    *    * |   2   0   0
x   .   x   . |    4 |    2    2 |   * 3600    *    * |   1   1   0
.   o3/2x   . |    3 |    0    3 |   *    * 2400    * |   1   0   1
.   .   x5/4o |    5 |    0    5 |   *    *    * 1440 |   0   1   1
--------------+------+-----------+--------------------+------------
x5/2o3/2x   .    60 |   60   60 |  12   30   20    0 | 120   *   *
x   .   x5/4o    10 |    5   10 |   0    5    0    2 |   * 720   *
.   o3/2x5/4o    30 |    0   60 |   0    0   20   12 |   *   * 120

x5/3o3x5o
  
.   . . . | 3600 |    2    4 |   1    4    2    2 |   2   2   1
----------+------+-----------+--------------------+------------
x   . . . |    2 | 3600    * |   1    2    0    0 |   2   1   0
.   . x . |    2 |    * 7200 |   0    1    1    1 |   1   1   1
----------+------+-----------+--------------------+------------
x5/3o . . |    5 |    5    0 | 720    *    *    * |   2   0   0
x   . x . |    4 |    2    2 |   * 3600    *    * |   1   1   0
.   o3x . |    3 |    0    3 |   *    * 2400    * |   1   0   1
.   . x5o |    5 |    0    5 |   *    *    * 1440 |   0   1   1
----------+------+-----------+--------------------+------------
x5/3o3x .    60 |   60   60 |  12   30   20    0 | 120   *   *
x   . x5o    10 |    5   10 |   0    5    0    2 |   * 720   *
.   o3x5o    30 |    0   60 |   0    0   20   12 |   *   * 120

x5/3o3x5/4o
  
.   . .   . | 3600 |    2    4 |   1    4    2    2 |   2   2   1
------------+------+-----------+--------------------+------------
x   . .   . |    2 | 3600    * |   1    2    0    0 |   2   1   0
.   . x   . |    2 |    * 7200 |   0    1    1    1 |   1   1   1
------------+------+-----------+--------------------+------------
x5/3o .   . |    5 |    5    0 | 720    *    *    * |   2   0   0
x   . x   . |    4 |    2    2 |   * 3600    *    * |   1   1   0
.   o3x   . |    3 |    0    3 |   *    * 2400    * |   1   0   1
.   . x5/4o |    5 |    0    5 |   *    *    * 1440 |   0   1   1
------------+------+-----------+--------------------+------------
x5/3o3x   .    60 |   60   60 |  12   30   20    0 | 120   *   *
x   . x5/4o    10 |    5   10 |   0    5    0    2 |   * 720   *
.   o3x5/4o    30 |    0   60 |   0    0   20   12 |   *   * 120

© 2004-2024
top of page