Acronym gefdit dixdy
Name great exofissary ditrigonal dihexacosadihecatonicosachoron
Circumradius sqrt(3) = 1.732051
General of army rahi
Colonel of regiment rissidtixhi
Face vector 3600, 14400, 11040, 1440
Confer
blends:
gaddit thix giddit thix stodatixhi todtixhi
general polytopal classes:
Wythoffian polychora  

As abstract polytope gefdit dixdy is isomorphic to sefdit dixdy, thereby replacing pentagons by pentagrams, resp. id by gid and giid by siid.

This polychoron is exotic, as 2 classes of triangles coincide pairwise. Also the edges coincide pairwise. It also is fissary, as its vertices coincide by 3. In fact, each vertex figure is kind a x2x || x2f, linked diametrically by edges of length u.

This polychoron can be obtained as blend of gaddit thix with todtixhi, blending out their ri. Alternatively it can be obtained as blend of giddit thix with stodatixhi, blending out their siddy.


Incidence matrix according to Dynkin symbol

        _x_        
    _3-  |  5/4    
 o<      3      >o 
    3/2  |  _3-    
        -x-        
x3o3/2x3o5/4*a3*c

. .   . .         | 3600 |    4    4 |    2    4    2    2    2 |   2   1   2   1
------------------+------+-----------+--------------------------+----------------
x .   . .         |    2 | 7200    * |    1    1    1    0    0 |   1   1   1   0
. .   x .         |    2 |    * 7200 |    0    1    0    1    1 |   1   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o   . .         |    3 |    3    0 | 2400    *    *    *    * |   1   1   0   0
x .   x .   *a3*c |    6 |    3    3 |    * 2400    *    *    * |   1   0   1   0
x .   . o5/4*a    |    5 |    5    0 |    *    * 1440    *    * |   0   1   1   0
. o3/2x .         |    3 |    0    3 |    *    *    * 2400    * |   1   0   0   1
. .   x3o         |    3 |    0    3 |    *    *    *    * 2400 |   0   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o3/2x .   *a3*c    12 |   12   12 |    4    4    0    4    0 | 600   *   *   *
x3o   . o5/4*a       30 |   60    0 |   20    0   12    0    0 |   * 120   *   *
x .   x3o5/4*a3*c    60 |   60   60 |    0   20   12    0   20 |   *   * 120   *
. o3/2x3o             6 |    0   12 |    0    0    0    4    4 |   *   *   * 600

        _x_        
    _3-  |  -5_    
 o<      3      >o 
    3/2  |  3/2    
        -x-        
x3o3/2x3/2o5*a3*c

. .   .   .       | 3600 |    4    4 |    2    4    2    2    2 |   2   1   2   1
------------------+------+-----------+--------------------------+----------------
x .   .   .       |    2 | 7200    * |    1    1    1    0    0 |   1   1   1   0
. .   x   .       |    2 |    * 7200 |    0    1    0    1    1 |   1   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o   .   .       |    3 |    3    0 | 2400    *    *    *    * |   1   1   0   0
x .   x   . *a3*c |    6 |    3    3 |    * 2400    *    *    * |   1   0   1   0
x .   .   o5*a    |    5 |    5    0 |    *    * 1440    *    * |   0   1   1   0
. o3/2x   .       |    3 |    0    3 |    *    *    * 2400    * |   1   0   0   1
. .   x3/2o       |    3 |    0    3 |    *    *    *    * 2400 |   0   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o3/2x   . *a3*c    12 |   12   12 |    4    4    0    4    0 | 600   *   *   *
x3o   .   o5*a       30 |   60    0 |   20    0   12    0    0 |   * 120   *   *
x .   x3/2o5*a3*c    60 |   60   60 |    0   20   12    0   20 |   *   * 120   *
. o3/2x3/2o           6 |    0   12 |    0    0    0    4    4 |   *   *   * 600

        _x_        
    3/2  |  5/4    
 o<      3      >o 
    -3_  |  _3-    
        -x-        
x3/2o3x3o5/4*a3*c

.   . . .         | 3600 |    4    4 |    2    4    2    2    2 |   2   1   2   1
------------------+------+-----------+--------------------------+----------------
x   . . .         |    2 | 7200    * |    1    1    1    0    0 |   1   1   1   0
.   . x .         |    2 |    * 7200 |    0    1    0    1    1 |   1   0   1   1
------------------+------+-----------+--------------------------+----------------
x3/2o . .         |    3 |    3    0 | 2400    *    *    *    * |   1   1   0   0
x   . x .   *a3*c |    6 |    3    3 |    * 2400    *    *    * |   1   0   1   0
x   . . o5/4*a    |    5 |    5    0 |    *    * 1440    *    * |   0   1   1   0
.   o3x .         |    3 |    0    3 |    *    *    * 2400    * |   1   0   0   1
.   . x3o         |    3 |    0    3 |    *    *    *    * 2400 |   0   0   1   1
------------------+------+-----------+--------------------------+----------------
x3/2o3x .   *a3*c    12 |   12   12 |    4    4    0    4    0 | 600   *   *   *
x3/2o . o5/4*a       30 |   60    0 |   20    0   12    0    0 |   * 120   *   *
x   . x3o5/4*a3*c    60 |   60   60 |    0   20   12    0   20 |   *   * 120   *
.   o3x3o             6 |    0   12 |    0    0    0    4    4 |   *   *   * 600

        _x_        
    3/2  |  -5_    
 o<      3      >o 
    -3_  |  3/2    
        -x-        
x3/2o3x3/2o5*a3*c

.   . .   .       | 3600 |    4    4 |    2    4    2    2    2 |   2   1   2   1
------------------+------+-----------+--------------------------+----------------
x   . .   .       |    2 | 7200    * |    1    1    1    0    0 |   1   1   1   0
.   . x   .       |    2 |    * 7200 |    0    1    0    1    1 |   1   0   1   1
------------------+------+-----------+--------------------------+----------------
x3/2o .   .       |    3 |    3    0 | 2400    *    *    *    * |   1   1   0   0
x   . x   . *a3*c |    6 |    3    3 |    * 2400    *    *    * |   1   0   1   0
x   . .   o5*a    |    5 |    5    0 |    *    * 1440    *    * |   0   1   1   0
.   o3x   .       |    3 |    0    3 |    *    *    * 2400    * |   1   0   0   1
.   . x3/2o       |    3 |    0    3 |    *    *    *    * 2400 |   0   0   1   1
------------------+------+-----------+--------------------------+----------------
x3/2o3x   . *a3*c    12 |   12   12 |    4    4    0    4    0 | 600   *   *   *
x3/2o .   o5*a       30 |   60    0 |   20    0   12    0    0 |   * 120   *   *
x   . x3/2o5*a3*c    60 |   60   60 |    0   20   12    0   20 |   *   * 120   *
.   o3x3/2o           6 |    0   12 |    0    0    0    4    4 |   *   *   * 600

© 2004-2025
top of page