Acronym gefradit thix
Name great exofissary retroditetrahedronary triakishecatonicosihexacosachoron
Circumradius sqrt[3-sqrt(5)] = 0.874032
General of army hi
Colonel of regiment gadtaxady
Face vector 2400, 10800, 6720, 960
Confer
blend-components:
gitphi   gard tadhix  
general polytopal classes:
Wythoffian polychora  

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

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

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

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

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

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