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

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