Acronym	mrawv hixhi
Name	medial retrosphenoverted hecatonicosihexacosihecatonicosachoron
Circumradius	sqrt[9+3 sqrt(5)] = 3.963358
Colonel of regiment	sirsashi
Face vector	3600, 10800, 6960, 840
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope mrawv hixhi is isomorphic to grawv hixhi, thereby interchanging the roles of pentagons and pentagrams, respectively replacing id by gid.

Incidence matrix according to Dynkin symbol

     o    
   3 |    
     x    
  3 / \ 5 
   x---o  
    5/3   

o3x3x5/3o5*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
-------------+------+-----------+--------------------+------------
o3x .   .    |    3 |    3    0 | 2400    *    *   * |   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
-------------+------+-----------+--------------------+------------
o3x3x   .    ♦   12 |   12    6 |    4    4    0   0 | 600   *   *
o3x .   o5*b ♦   30 |   60    0 |   20    0   12   0 |   * 120   *
. x3x5/3o5*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120

     o     
   3 |     
     x     
  3 / \ 5/4
   x---o   
    5/2    

o3x3x5/2o5/4*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
---------------+------+-----------+--------------------+------------
o3x .   .      |    3 |    3    0 | 2400    *    *   * |   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
---------------+------+-----------+--------------------+------------
o3x3x   .      ♦   12 |   12    6 |    4    4    0   0 | 600   *   *
o3x .   o5/4*b ♦   30 |   60    0 |   20    0   12   0 |   * 120   *
. x3x5/2o5/4*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120

     o    
 3/2 |    
     x    
  3 / \ 5 
   x---o  
    5/3   

o3/2x3x5o5*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
---------------+------+-----------+--------------------+------------
o3/2x .   .    |    3 |    3    0 | 2400    *    *   * |   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
---------------+------+-----------+--------------------+------------
o3/2x3x   .    ♦   12 |   12    6 |    4    4    0   0 | 600   *   *
o3/2x .   o5*b ♦   30 |   60    0 |   20    0   12   0 |   * 120   *
.   x3x5/3o5*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120

     o     
 3/2 |     
     x     
  3 / \ 5/4
   x---o   
    5/2    

o3/2x3x5/2o5/4*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
-----------------+------+-----------+--------------------+------------
o3/2x .   .      |    3 |    3    0 | 2400    *    *   * |   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
-----------------+------+-----------+--------------------+------------
o3/2x3x   .      ♦   12 |   12    6 |    4    4    0   0 | 600   *   *
o3/2x .   o5/4*b ♦   30 |   60    0 |   20    0   12   0 |   * 120   *
.   x3x5/2o5/4*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120