Acronym grawv hidy
Name great retrosphenoverted hecatonicosadishecatonicosachoron
Cross sections
 ©
Circumradius sqrt[7-2 sqrt(5)] = 1.589926
General of army srahi
Colonel of regiment sirgashi
Face vector 3600, 10800, 6000, 360
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope grawv hidy is isomorphic to srawv hidy, thereby interchanging pentagons and pentagrams, respectively replacing tiggy by ti.


Incidence matrix according to Dynkin symbol

     o    
 5/2 |    
     x    
  3 / \ 5 
   x---o  
    5/3   
o5/2x3x5/3o5*b

.   . .   .    | 3600 |    4    2 |    2    4    2   1 |   2   1   2
---------------+------+-----------+--------------------+------------
.   x .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . x   .    |    2 |    * 3600 |    0    2    0   1 |   1   0   2
---------------+------+-----------+--------------------+------------
o5/2x .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3x   .    |    6 |    3    3 |    * 2400    *   * |   1   0   1
.   x .   o5*b |    5 |    5    0 |    *    * 1440   * |   0   1   1
.   . x5/3o    |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/2x3x   .       60 |   60   30 |   12   20    0   0 | 120   *   *
o5/2x .   o5*b    30 |   60    0 |   12    0   12   0 |   * 120   *
.   x3x5/3o5*b    60 |   60   60 |    0   20   12  12 |   *   * 120

     o     
 5/2 |     
     x     
  3 / \ 5/4
   x---o   
    5/2    
o5/2x3x5/2o5/4*b

.   . .   .      | 3600 |    4    2 |    2    4    2   1 |   2   1   2
---------------+------+-----------+--------------------+------------
.   x .   .      |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . x   .      |    2 |    * 3600 |    0    2    0   1 |   1   0   2
---------------+------+-----------+--------------------+------------
o5/2x .   .      |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3x   .      |    6 |    3    3 |    * 2400    *   * |   1   0   1
.   x .   o5/4*b |    5 |    5    0 |    *    * 1440   * |   0   1   1
.   . x5/2o      |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/2x3x   .         60 |   60   30 |   12   20    0   0 | 120   *   *
o5/2x .   o5/4*b    30 |   60    0 |   12    0   12   0 |   * 120   *
.   x3x5/2o5/4*b    60 |   60   60 |    0   20   12  12 |   *   * 120

     o    
 5/3 |    
     x    
  3 / \ 5 
   x---o  
    5/3   
o5/3x3x5/3o5*b

.   . .   .    | 3600 |    4    2 |    2    4    2   1 |   2   1   2
---------------+------+-----------+--------------------+------------
.   x .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . x   .    |    2 |    * 3600 |    0    2    0   1 |   1   0   2
---------------+------+-----------+--------------------+------------
o5/3x .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3x   .    |    6 |    3    3 |    * 2400    *   * |   1   0   1
.   x .   o5*b |    5 |    5    0 |    *    * 1440   * |   0   1   1
.   . x5/3o    |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/3x3x   .       60 |   60   30 |   12   20    0   0 | 120   *   *
o5/3x .   o5*b    30 |   60    0 |   12    0   12   0 |   * 120   *
.   x3x5/3o5*b    60 |   60   60 |    0   20   12  12 |   *   * 120

     o     
 5/3 |     
     x     
  3 / \ 5/4
   x---o   
    5/2    
o5/3x3x5/2o5/4*b

.   . .   .      | 3600 |    4    2 |    2    4    2   1 |   2   1   2
---------------+------+-----------+--------------------+------------
.   x .   .      |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . x   .      |    2 |    * 3600 |    0    2    0   1 |   1   0   2
---------------+------+-----------+--------------------+------------
o5/3x .   .      |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3x   .      |    6 |    3    3 |    * 2400    *   * |   1   0   1
.   x .   o5/4*b |    5 |    5    0 |    *    * 1440   * |   0   1   1
.   . x5/2o      |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/3x3x   .         60 |   60   30 |   12   20    0   0 | 120   *   *
o5/3x .   o5/4*b    30 |   60    0 |   12    0   12   0 |   * 120   *
.   x3x5/2o5/4*b    60 |   60   60 |    0   20   12  12 |   *   * 120

© 2004-2026
top of page