Acronym grawv ditathi
Name great retrosphenoverted ditrigonary triakishecatonicosachoron
Circumradius sqrt[(11-sqrt(5))/2] = 2.093315
Colonel of regiment swavathi
Face vector 3600, 10800, 6000, 360
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope grawv ditathi is isomorphic to swav ditathi, thereby replacing both types of pentagrams by pentagons, and decagons by decagrams, respectively gid by id, tigid by quit sissid, and sidditdid by gidditdid.

Likewise it is isomorphic to wavathi, thereby replacing tail-type pentagrams only by pentagons, while loop-type ones remain, and replacing decagons by decagrams too, thus gid by id, tigid by quit sissid, and sidditdid by gaddid.

Further it is isomorphic to rawvathi, thereby replacing only loop-type pentagrams by pentagons, thus only sidditdid by saddid.

As such grawv ditathi is a lieutenant.


Incidence matrix according to Dynkin symbol

o5/2x3o5/3x5*b

.   . .   .    | 3600 |    4    2 |    2    2    4   1 |   1   2   2
---------------+------+-----------+--------------------+------------
.   x .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . .   x    |    2 |    * 3600 |    0    0    2   1 |   0   1   2
---------------+------+-----------+--------------------+------------
o5/2x .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3o   .    |    3 |    3    0 |    * 2400    *   * |   1   0   1
.   x .   x5*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
.   . o5/3x    |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/2x3o   .       30 |   60    0 |   12   20    0   0 | 120   *   *
o5/2x .   x5*b    60 |   60   30 |   12    0   12   0 |   * 120   *
.   x3o5/3x5*b    60 |   60   60 |    0   20   12  12 |   *   * 120

o5/2x3/2o5/2x5*b

.   .   .   .    | 3600 |    4    2 |    2    2    4   1 |   1   2   2
-----------------+------+-----------+--------------------+------------
.   x   .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   .   .   x    |    2 |    * 3600 |    0    0    2   1 |   0   1   2
-----------------+------+-----------+--------------------+------------
o5/2x   .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3/2o   .    |    3 |    3    0 |    * 2400    *   * |   1   0   1
.   x   .   x5*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
.   .   o5/2x    |    5 |    0    5 |    *    *    * 720 |   0   0   2
-----------------+------+-----------+--------------------+------------
o5/2x3/2o   .       30 |   60    0 |   12   20    0   0 | 120   *   *
o5/2x   .   x5*b    60 |   60   30 |   12    0   12   0 |   * 120   *
.   x3/2o5/2x5*b    60 |   60   60 |    0   20   12  12 |   *   * 120

o5/3x3o5/3x5*b

.   . .   .    | 3600 |    4    2 |    2    2    4   1 |   1   2   2
---------------+------+-----------+--------------------+------------
.   x .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   . .   x    |    2 |    * 3600 |    0    0    2   1 |   0   1   2
---------------+------+-----------+--------------------+------------
o5/3x .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3o   .    |    3 |    3    0 |    * 2400    *   * |   1   0   1
.   x .   x5*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
.   . o5/3x    |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/3x3o   .       30 |   60    0 |   12   20    0   0 | 120   *   *
o5/3x .   x5*b    60 |   60   30 |   12    0   12   0 |   * 120   *
.   x3o5/3x5*b    60 |   60   60 |    0   20   12  12 |   *   * 120

o5/3x3/2o5/2x5*b

.   .   .   .    | 3600 |    4    2 |    2    2    4   1 |   1   2   2
-----------------+------+-----------+--------------------+------------
.   x   .   .    |    2 | 7200    * |    1    1    1   0 |   1   1   1
.   .   .   x    |    2 |    * 3600 |    0    0    2   1 |   0   1   2
-----------------+------+-----------+--------------------+------------
o5/3x   .   .    |    5 |    5    0 | 1440    *    *   * |   1   1   0
.   x3/2o   .    |    3 |    3    0 |    * 2400    *   * |   1   0   1
.   x   .   x5*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
.   .   o5/2x    |    5 |    0    5 |    *    *    * 720 |   0   0   2
-----------------+------+-----------+--------------------+------------
o5/3x3/2o   .       30 |   60    0 |   12   20    0   0 | 120   *   *
o5/3x   .   x5*b    60 |   60   30 |   12    0   12   0 |   * 120   *
.   x3/2o5/2x5*b    60 |   60   60 |    0   20   12  12 |   *   * 120

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