Acronym wavathi
Name sphenoverted triakishecatonicosachoron
Circumradius sqrt[5-sqrt(5)] = 1.662508
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: gaddid id quit sissid
wavathi 120120120
& others)
External
links
hedrondude   WikiChoron  

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

Likewise it is isomorphic to grawv ditathi, thereby replacing pentagons by pentagrams, and decagrams by decagons, thus id by gid, quit sissid by tigid, and gaddid by sidditdid.

Further it is isomorphic to swav ditathi, thereby replacing pentagrams by pentagons, thus only gaddid by gidditdid.


Incidence matrix according to Dynkin symbol

o5x3o5/2x5/3*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
---------------+------+-----------+--------------------+------------
o5x .   .      |    5 |    5    0 | 1440    *    *   * |   1   1   0
. x3o   .      |    3 |    3    0 |    * 2400    *   * |   1   0   1
. x .   x5/3*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
. . o5/2x      |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5x3o   .         30 |   60    0 |   12   20    0   0 | 120   *   *
o5x .   x5/3*b    60 |   60   30 |   12    0   12   0 |   * 120   *
. x3o5/2x5/3*b    60 |   60   60 |    0   20   12  12 |   *   * 120

o5x3/2o5/3x5/3*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
-----------------+------+-----------+--------------------+------------
o5x   .   .      |    5 |    5    0 | 1440    *    *   * |   1   1   0
. x3/2o   .      |    3 |    3    0 |    * 2400    *   * |   1   0   1
. x   .   x5/3*b |   10 |    5    5 |    *    * 1440   * |   0   1   1
. .   o5/3x      |    5 |    0    5 |    *    *    * 720 |   0   0   2
-----------------+------+-----------+--------------------+------------
o5x3/2o   .         30 |   60    0 |   12   20    0   0 | 120   *   *
o5x   .   x5/3*b    60 |   60   30 |   12    0   12   0 |   * 120   *
. x3/2o5/3x5/3*b    60 |   60   60 |    0   20   12  12 |   *   * 120

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

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

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