As abstract polytope gefradit thix is isomorphic to sefradit thix, thereby interchanging the roles of pentagrams and pentagons, resp. replacing gaddid by saddid and quit sissid by tigid.

Incidence matrix according to Dynkin symbol

        _o_        
    _3-  |  -3_    
 o<     5/2     >x 
    5/4  |  5/3    
        -x-        

x5/3x3o3o5/4*a5/2*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 .   *a5/2*c |    5 |    5    0 |    * 1440    *    * |   1   0   1   0
x   . . o5/4*a      |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
.   x3o .           |    3 |    0    3 |    *    *    * 2400 |   1   0   0   1
--------------------+------+-----------+---------------------+----------------
x5/3x3o .   *a5/2*c ♦   60 |   60   60 |   12   12    0   20 | 120   *   *   *
x5/3x . o5/4*a      ♦   60 |   60   30 |   12    0   12    0 |   * 120   *   *
x   . o3o5/4*a5/2*c ♦   20 |   60    0 |    0   12   12    0 |   *   * 120   *
.   x3o3o           ♦    4 |    0    6 |    0    0    0    4 |   *   *   * 600

        _o_        
    3/2  |  -3_    
 o<     5/2     >x 
    -5_  |  5/3    
        -x-        

x5/3x3o3/2o5*a5/2*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   . *a5/2*c |    5 |    5    0 |    * 1440    *    * |   1   0   1   0
x   . .   o5*a      |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
.   x3o   .         |    3 |    0    3 |    *    *    * 2400 |   1   0   0   1
--------------------+------+-----------+---------------------+----------------
x5/3x3o   . *a5/2*c ♦   60 |   60   60 |   12   12    0   20 | 120   *   *   *
x5/3x .   o5*a      ♦   60 |   60   30 |   12    0   12    0 |   * 120   *   *
x   . o3/2o5*a5/2*c ♦   20 |   60    0 |    0   12   12    0 |   *   * 120   *
.   x3o3/2o         ♦    4 |    0    6 |    0    0    0    4 |   *   *   * 600

        _o_        
    _3-  |  3/2    
 o<     5/3     >x 
    -5_  |  5/3    
        -x-        

x5/3x3/2o3o5*a5/3*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 . *a5/3*c |    5 |    5    0 |    * 1440    *    * |   1   0   1   0
x   .   . o5*a      |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
.   x3/2o .         |    3 |    0    3 |    *    *    * 2400 |   1   0   0   1
--------------------+------+-----------+---------------------+----------------
x5/3x3/2o . *a5/3*c ♦   60 |   60   60 |   12   12    0   20 | 120   *   *   *
x5/3x   . o5*a      ♦   60 |   60   30 |   12    0   12    0 |   * 120   *   *
x   .   o3o5*a5/3*c ♦   20 |   60    0 |    0   12   12    0 |   *   * 120   *
.   x3/2o3o         ♦    4 |    0    6 |    0    0    0    4 |   *   *   * 600

        _o_        
    3/2  |  3/2    
 o<     5/3     >x 
    5/4  |  5/3    
        -x-        

x5/3x3/2o3/2o5/4*a5/3*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   .   *a5/3*c |    5 |    5    0 |    * 1440    *    * |   1   0   1   0
x   .   .   o5/4*a      |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
.   x3/2o   .           |    3 |    0    3 |    *    *    * 2400 |   1   0   0   1
------------------------+------+-----------+---------------------+----------------
x5/3x3/2o   .   *a5/3*c ♦   60 |   60   60 |   12   12    0   20 | 120   *   *   *
x5/3x   .   o5/4*a      ♦   60 |   60   30 |   12    0   12    0 |   * 120   *   *
x   .   o3/2o5/4*a5/3*c ♦   20 |   60    0 |    0   12   12    0 |   *   * 120   *
.   x3/2o3/2o           ♦    4 |    0    6 |    0    0    0    4 |   *   *   * 600