Acronym gefidtethi
Name great exofissary ditetrahedronary tetrakishecatonicosachoron
Circumradius sqrt[3-sqrt(5)] = 0.874032
General of army hi
Colonel of regiment gadtaxady
Confer gardatathi   gitphi  

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

Looks like a compound of gitphi and gardatathi.


Incidence matrix according to Dynkin symbol

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

x5/3x5/2o3/2o5*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
--------------------+------+-----------+---------------------+----------------
x5/3x   .   .       |   10 |    5    5 | 1440    *    *    * |   1   1   0   0
x   .   o   . *a3*c |    3 |    3    0 |    * 2400    *    * |   1   0   1   0
x   .   .   o5*a    |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
.   x5/2o   .       |    5 |    0    5 |    *    *    * 1440 |   1   0   0   1
--------------------+------+-----------+---------------------+----------------
x5/3x5/2o   . *a3*c    60 |   60   60 |   12   20    0   12 | 120   *   *   *
x5/3x   .   o5*a       60 |   60   30 |   12    0   12    0 |   * 120   *   *
x   .   o3/2o5*a3*c    20 |   60    0 |    0   20   12    0 |   *   * 120   *
.   x5/2o3/2o          20 |    0   30 |    0    0    0   12 |   *   *   * 120

x5/3x5/3o3o5*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
--------------------+------+-----------+---------------------+----------------
x5/3x   . .         |   10 |    5    5 | 1440    *    *    * |   1   1   0   0
x   .   o . *a3/2*c |    3 |    3    0 |    * 2400    *    * |   1   0   1   0
x   .   . o5*a      |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
.   x5/3o .         |    5 |    0    5 |    *    *    * 1440 |   1   0   0   1
--------------------+------+-----------+---------------------+----------------
x5/3x5/3o . *a3/2*c    60 |   60   60 |   12   20    0   12 | 120   *   *   *
x5/3x   . o5*a         60 |   60   30 |   12    0   12    0 |   * 120   *   *
x   .   o3o5*a3/2*c    20 |   60    0 |    0   20   12    0 |   *   * 120   *
.   x5/3o3o            20 |    0   30 |    0    0    0   12 |   *   *   * 120

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

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