Acronym	rawvathi
Name	retrosphenoverted triakishecatonicosachoron
Circumradius	sqrt[5+sqrt(5)] = 2.689994
Colonel of regiment	sraghi
Face vector	3600, 10800, 6000, 360
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope rawvathi is isomorphic to wavathi, thereby interchanging pentagrams and pentagons, and replacing decagons by decagrams, respectively gid by id, tigid by quit sissid, and saddid by gaddid.

Likewise it is isomorphic to swav ditathi, thereby replacing pentagrams by pentagons, and decagons by decagrams, thus gid by id, tigid by quit sissid, and saddid by gidditdid.

Further it is isomorphic to grawv ditathi, thereby replacing pentagons by pentagrams, thus only saddid by sidditdid.

As such rawvathi is a lieutenant.

Incidence matrix according to Dynkin symbol

o5/2x3o5/4x5*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
.   . o5/4x    |    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   *
.   x3o5/4x5*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120

o5/2x3/2o5x5*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
.   .   o5x    |    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   *
.   x3/2o5x5*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120

o5/3x3o5/4x5*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
.   . o5/4x    |    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   *
.   x3o5/4x5*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120

o5/3x3/2o5x5*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
.   .   o5x    |    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   *
.   x3/2o5x5*b ♦   60 |   60   60 |    0   20   12  12 |   *   * 120