Acronym swavathi
Name small sphenoverted triakishecatonicosachoron
Circumradius sqrt[(11-sqrt(5))/2] = 2.093315
Colonel of regiment (is itself locally convex – uniform polychoral members:
 by cells: gid sidditdid siid tiggy tigid grawv ditathi 120 120 0 0 120 swavathi 120 0 120 120 0
& others)
External

As abstract polytope swavathi is isomorphic to grawvathi, thereby replacing pentagrams by pentagons, respectively tiggy by ti, gid by id, and siid by giid.

Incidence matrix according to Dynkin symbol

```o5/2x3x5/2o3*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 .   o3*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
.   . x5/2o    |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/2x3x   .    ♦   60 |   60   30 |   12   20    0   0 | 120   *   *
o5/2x .   o3*b ♦   30 |   60    0 |   12    0   20   0 |   * 120   *
.   x3x5/2o3*b ♦   60 |   60   60 |    0   20   20  12 |   *   * 120
```

```o5/2x3x5/3o3/2*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 .   o3/2*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
.   . x5/3o      |    5 |    0    5 |    *    *    * 720 |   0   0   2
-----------------+------+-----------+--------------------+------------
o5/2x3x   .      ♦   60 |   60   30 |   12   20    0   0 | 120   *   *
o5/2x .   o3/2*b ♦   30 |   60    0 |   12    0   20   0 |   * 120   *
.   x3x5/3o3/2*b ♦   60 |   60   60 |    0   20   20  12 |   *   * 120
```

```o5/3x3x5/2o3*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 .   o3*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
.   . x5/2o    |    5 |    0    5 |    *    *    * 720 |   0   0   2
---------------+------+-----------+--------------------+------------
o5/3x3x   .    ♦   60 |   60   30 |   12   20    0   0 | 120   *   *
o5/3x .   o3*b ♦   30 |   60    0 |   12    0   20   0 |   * 120   *
.   x3x5/2o3*b ♦   60 |   60   60 |    0   20   20  12 |   *   * 120
```

```o5/3x3x5/3o3/2*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 .   o3/2*b |    3 |    3    0 |    *    * 2400   * |   0   1   1
.   . x5/3o      |    5 |    0    5 |    *    *    * 720 |   0   0   2
-----------------+------+-----------+--------------------+------------
o5/3x3x   .      ♦   60 |   60   30 |   12   20    0   0 | 120   *   *
o5/3x .   o3/2*b ♦   30 |   60    0 |   12    0   20   0 |   * 120   *
.   x3x5/3o3/2*b ♦   60 |   60   60 |    0   20   20  12 |   *   * 120
```

 © 2004-2021 top of page