Acronym sefidtethi Name small exofissary ditetrahedronary tetrakishecatonicosachoron Circumradius sqrt[3+sqrt(5)] = 2.288246 General of army hi Colonel of regiment sidtaxhi Confer sand tathi   sitphi

As abstract polytope sefidtethi is isomorphic to gefidtethi, thereby interchanging the roles of pentagrams and pentagons, and replacing the decagons by decagrams, resp. replacing doe by gissid, tigid by quit sissid, saddid by gaddid, and sidtid by gidtid.

Looks like a compound of sitphi and sand tathi.

Incidence matrix according to Dynkin symbol

```x5x5o3o5/3*a3/2*c

. . . .           | 2400 |    6    3 |    6    3    3    3 |   3   3   1   1
------------------+------+-----------+---------------------+----------------
x . . .           |    2 | 7200    * |    1    1    1    0 |   1   1   1   0
. x . .           |    2 |    * 3600 |    2    0    0    2 |   2   1   0   1
------------------+------+-----------+---------------------+----------------
x5x . .           |   10 |    5    5 | 1440    *    *    * |   1   1   0   0
x . o .   *a3/2*c |    3 |    3    0 |    * 2400    *    * |   1   0   1   0
x . . o5/3*a      |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
. x5o .           |    5 |    0    5 |    *    *    * 1440 |   1   0   0   1
------------------+------+-----------+---------------------+----------------
x5x5o .   *a3/2*c ♦   60 |   60   60 |   12   20    0   12 | 120   *   *   *
x5x . o5/3*a      ♦   60 |   60   30 |   12    0   12    0 |   * 120   *   *
x . o3o5/3*a3/2*c ♦   20 |   60    0 |    0   20   12    0 |   *   * 120   *
. x5o3o           ♦   20 |    0   30 |    0    0    0   12 |   *   *   * 120
```

```x5x5o3/2o5/2*a3/2*c

. . .   .           | 2400 |    6    3 |    6    3    3    3 |   3   3   1   1
--------------------+------+-----------+---------------------+----------------
x . .   .           |    2 | 7200    * |    1    1    1    0 |   1   1   1   0
. x .   .           |    2 |    * 3600 |    2    0    0    2 |   2   1   0   1
--------------------+------+-----------+---------------------+----------------
x5x .   .           |   10 |    5    5 | 1440    *    *    * |   1   1   0   0
x . o   .   *a3/2*c |    3 |    3    0 |    * 2400    *    * |   1   0   1   0
x . .   o5/2*a      |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
. x5o   .           |    5 |    0    5 |    *    *    * 1440 |   1   0   0   1
--------------------+------+-----------+---------------------+----------------
x5x5o   .   *a3/2*c ♦   60 |   60   60 |   12   20    0   12 | 120   *   *   *
x5x .   o5/2*a      ♦   60 |   60   30 |   12    0   12    0 |   * 120   *   *
x . o3/2o5/2*a3/2*c ♦   20 |   60    0 |    0   20   12    0 |   *   * 120   *
. x5o3/2o           ♦   20 |    0   30 |    0    0    0   12 |   *   *   * 120
```

```x5x5/4o3o5/2*a3*c

. .   . .         | 2400 |    6    3 |    6    3    3    3 |   3   3   1   1
------------------+------+-----------+---------------------+----------------
x .   . .         |    2 | 7200    * |    1    1    1    0 |   1   1   1   0
. x   . .         |    2 |    * 3600 |    2    0    0    2 |   2   1   0   1
------------------+------+-----------+---------------------+----------------
x5x   . .         |   10 |    5    5 | 1440    *    *    * |   1   1   0   0
x .   o .   *a3*c |    3 |    3    0 |    * 2400    *    * |   1   0   1   0
x .   . o5/2*a    |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
. x5/4o .         |    5 |    0    5 |    *    *    * 1440 |   1   0   0   1
------------------+------+-----------+---------------------+----------------
x5x5/4o .   *a3*c ♦   60 |   60   60 |   12   20    0   12 | 120   *   *   *
x5x   . o5/2*a    ♦   60 |   60   30 |   12    0   12    0 |   * 120   *   *
x .   o3o5/2*a3*c ♦   20 |   60    0 |    0   20   12    0 |   *   * 120   *
. x5/4o3o         ♦   20 |    0   30 |    0    0    0   12 |   *   *   * 120
```

```x5x5/4o3/2o5/3*a3*c

. .   .   .         | 2400 |    6    3 |    6    3    3    3 |   3   3   1   1
--------------------+------+-----------+---------------------+----------------
x .   .   .         |    2 | 7200    * |    1    1    1    0 |   1   1   1   0
. x   .   .         |    2 |    * 3600 |    2    0    0    2 |   2   1   0   1
--------------------+------+-----------+---------------------+----------------
x5x   .   .         |   10 |    5    5 | 1440    *    *    * |   1   1   0   0
x .   o   .   *a3*c |    3 |    3    0 |    * 2400    *    * |   1   0   1   0
x .   .   o5/3*a    |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
. x5/4o   .         |    5 |    0    5 |    *    *    * 1440 |   1   0   0   1
--------------------+------+-----------+---------------------+----------------
x5x5/4o   .   *a3*c ♦   60 |   60   60 |   12   20    0   12 | 120   *   *   *
x5x   .   o5/3*a    ♦   60 |   60   30 |   12    0   12    0 |   * 120   *   *
x .   o3/2o5/3*a3*c ♦   20 |   60    0 |    0   20   12    0 |   *   * 120   *
. x5/4o3/2o         ♦   20 |    0   30 |    0    0    0   12 |   *   *   * 120
```