Acronym	gardtaxady
Name	grand retroditetrahedronary hexacosidishecatonicosachoron
Cross sections	©
Circumradius	sqrt[3-sqrt(5)] = 0.874032
General of army	hi
Colonel of regiment	gadtaxady
Face vector	600, 3600, 3840, 840
Confer	blends: gadtef pixady   gaedit pathi   general polytopal classes: Wythoffian polychora
External links

As abstract polytope gardtaxady is isomorphic to sidtaxady, thereby replacing pentagrams by pentagons, resp. gissid by doe and sidtid by gidtid.

Incidence matrix according to Dynkin symbol

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

o3o3o3x5/3*a3/2*c

. . . .           | 600 |   12 |   12   12 |   4   4   4
------------------+-----+------+-----------+------------
. . . x           |   2 | 3600 |    2    2 |   1   2   1
------------------+-----+------+-----------+------------
o . . x5/3*a      |   5 |    5 | 1440    * |   1   1   0
. . o3x           |   3 |    3 |    * 2400 |   0   1   1
------------------+-----+------+-----------+------------
o3o . x5/3*a      ♦  20 |   30 |   12    0 | 120   *   *
o . o3x5/3*a3/2*c ♦  20 |   60 |   12   20 |   * 120   *
. o3o3x           ♦   4 |    6 |    0    4 |   *   * 600

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

o3o3o3/2x5/2*a3/2*c

. . .   .           | 600 |   12 |   12   12 |   4   4   4
--------------------+-----+------+-----------+------------
. . .   x           |   2 | 3600 |    2    2 |   1   2   1
--------------------+-----+------+-----------+------------
o . .   x5/2*a      |   5 |    5 | 1440    * |   1   1   0
. . o3/2x           |   3 |    3 |    * 2400 |   0   1   1
--------------------+-----+------+-----------+------------
o3o .   x5/2*a      ♦  20 |   30 |   12    0 | 120   *   *
o . o3/2x5/2*a3/2*c ♦  20 |   60 |   12   20 |   * 120   *
. o3o3/2x           ♦   4 |    6 |    0    4 |   *   * 600

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

o3o3/2o3x5/2*a3*c

. .   . .         | 600 |   12 |   12   12 |   4   4   4
------------------+-----+------+-----------+------------
. .   . x         |   2 | 3600 |    2    2 |   1   2   1
------------------+-----+------+-----------+------------
o .   . x5/2*a    |   5 |    5 | 1440    * |   1   1   0
. .   o3x         |   3 |    3 |    * 2400 |   0   1   1
------------------+-----+------+-----------+------------
o3o   . x5/2*a    ♦  20 |   30 |   12    0 | 120   *   *
o .   o3x5/2*a3*c ♦  20 |   60 |   12   20 |   * 120   *
. o3/2o3x         ♦   4 |    6 |    0    4 |   *   * 600

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

o3o3/2o3/2x5/3*a3*c

. .   .   .         | 600 |   12 |   12   12 |   4   4   4
--------------------+-----+------+-----------+------------
. .   .   x         |   2 | 3600 |    2    2 |   1   2   1
--------------------+-----+------+-----------+------------
o .   .   x5/3*a    |   5 |    5 | 1440    * |   1   1   0
. .   o3/2x         |   3 |    3 |    * 2400 |   0   1   1
--------------------+-----+------+-----------+------------
o3o   .   x5/3*a    ♦  20 |   30 |   12    0 | 120   *   *
o .   o3/2x5/3*a3*c ♦  20 |   60 |   12   20 |   * 120   *
. o3/2o3/2x         ♦   4 |    6 |    0    4 |   *   * 600

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

o3/2o3o3x5/2*a3*c

.   . . .         | 600 |   12 |   12   12 |   4   4   4
------------------+-----+------+-----------+------------
.   . . x         |   2 | 3600 |    2    2 |   1   2   1
------------------+-----+------+-----------+------------
o   . . x5/2*a    |   5 |    5 | 1440    * |   1   1   0
.   . o3x         |   3 |    3 |    * 2400 |   0   1   1
------------------+-----+------+-----------+------------
o3/2o . x5/2*a    ♦  20 |   30 |   12    0 | 120   *   *
o   . o3x5/2*a3*c ♦  20 |   60 |   12   20 |   * 120   *
.   o3o3x         ♦   4 |    6 |    0    4 |   *   * 600

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

o3/2o3o3/2x5/3*a3*c

.   . .   .         | 600 |   12 |   12   12 |   4   4   4
--------------------+-----+------+-----------+------------
.   . .   x         |   2 | 3600 |    2    2 |   1   2   1
--------------------+-----+------+-----------+------------
o   . .   x5/3*a    |   5 |    5 | 1440    * |   1   1   0
.   . o3/2x         |   3 |    3 |    * 2400 |   0   1   1
--------------------+-----+------+-----------+------------
o3/2o .   x5/3*a    ♦  20 |   30 |   12    0 | 120   *   *
o   . o3/2x5/3*a3*c ♦  20 |   60 |   12   20 |   * 120   *
.   o3o3/2x         ♦   4 |    6 |    0    4 |   *   * 600

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

o3/2o3/2o3x5/3*a3/2*c

.   .   . .           | 600 |   12 |   12   12 |   4   4   4
----------------------+-----+------+-----------+------------
.   .   . x           |   2 | 3600 |    2    2 |   1   2   1
----------------------+-----+------+-----------+------------
o   .   . x5/3*a      |   5 |    5 | 1440    * |   1   1   0
.   .   o3x           |   3 |    3 |    * 2400 |   0   1   1
----------------------+-----+------+-----------+------------
o3/2o   . x5/3*a      ♦  20 |   30 |   12    0 | 120   *   *
o   .   o3x5/3*a3/2*c ♦  20 |   60 |   12   20 |   * 120   *
.   o3/2o3x           ♦   4 |    6 |    0    4 |   *   * 600

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

o3/2o3/2o3/2x5/2*a3/2*c

.   .   .   .           | 600 |   12 |   12   12 |   4   4   4
------------------------+-----+------+-----------+------------
.   .   .   x           |   2 | 3600 |    2    2 |   1   2   1
------------------------+-----+------+-----------+------------
o   .   .   x5/2*a      |   5 |    5 | 1440    * |   1   1   0
.   .   o3/2x           |   3 |    3 |    * 2400 |   0   1   1
------------------------+-----+------+-----------+------------
o3/2o   .   x5/2*a      ♦  20 |   30 |   12    0 | 120   *   *
o   .   o3/2x5/2*a3/2*c ♦  20 |   60 |   12   20 |   * 120   *
.   o3/2o3/2x           ♦   4 |    6 |    0    4 |   *   * 600