Acronym sefradit thix
Name small exofissary retroditetrahedronary triakishecatonicosihexacosachoron
Circumradius sqrt[3+sqrt(5)] = 2.288246
General of army hi
Colonel of regiment sidtaxhi
Face vector 2400, 10800, 6720, 960
Confer
blend-components:
sitphi   sradditdahix  
general polytopal classes:
Wythoffian polychora  

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


Incidence matrix according to Dynkin symbol

x5x3o3o5/2*a5/4*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
------------------+------+-----------+---------------------+----------------
x5x . .           |   10 |    5    5 | 1440    *    *    * |   1   1   0   0
x . o .   *a5/4*c |    5 |    5    0 |    * 1440    *    * |   1   0   1   0
x . . o5/2*a      |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
. x3o .           |    3 |    0    3 |    *    *    * 2400 |   1   0   0   1
------------------+------+-----------+---------------------+----------------
x5x3o .   *a5/4*c    60 |   60   60 |   12   12    0   20 | 120   *   *   *
x5x . o5/2*a         60 |   60   30 |   12    0   12    0 |   * 120   *   *
x . o3o5/2*a5/4*c    20 |   60    0 |    0   12   12    0 |   *   * 120   *
. x3o3o               4 |    0    6 |    0    0    0    4 |   *   *   * 600

x5x3o3/2o5/3*a5/4*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
--------------------+------+-----------+---------------------+----------------
x5x .   .           |   10 |    5    5 | 1440    *    *    * |   1   1   0   0
x . o   .   *a5/4*c |    5 |    5    0 |    * 1440    *    * |   1   0   1   0
x . .   o5/3*a      |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
. x3o   .           |    3 |    0    3 |    *    *    * 2400 |   1   0   0   1
--------------------+------+-----------+---------------------+----------------
x5x3o   .   *a5/4*c    60 |   60   60 |   12   12    0   20 | 120   *   *   *
x5x .   o5/3*a         60 |   60   30 |   12    0   12    0 |   * 120   *   *
x . o3/2o5/3*a5/4*c    20 |   60    0 |    0   12   12    0 |   *   * 120   *
. x3o3/2o               4 |    0    6 |    0    0    0    4 |   *   *   * 600

x5x3/2o3o5/3*a5*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
------------------+------+-----------+---------------------+----------------
x5x   . .         |   10 |    5    5 | 1440    *    *    * |   1   1   0   0
x .   o .   *a5*c |    5 |    5    0 |    * 1440    *    * |   1   0   1   0
x .   . o5/3*a    |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
. x3/2o .         |    3 |    0    3 |    *    *    * 2400 |   1   0   0   1
------------------+------+-----------+---------------------+----------------
x5x3/2o .   *a5*c    60 |   60   60 |   12   12    0   20 | 120   *   *   *
x5x   . o5/3*a       60 |   60   30 |   12    0   12    0 |   * 120   *   *
x .   o3o5/3*a5*c    20 |   60    0 |    0   12   12    0 |   *   * 120   *
. x3/2o3o             4 |    0    6 |    0    0    0    4 |   *   *   * 600

x5x3/2o3/2o5/2*a5*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
--------------------+------+-----------+---------------------+----------------
x5x   .   .         |   10 |    5    5 | 1440    *    *    * |   1   1   0   0
x .   o   .   *a5*c |    5 |    5    0 |    * 1440    *    * |   1   0   1   0
x .   .   o5/2*a    |    5 |    5    0 |    *    * 1440    * |   0   1   1   0
. x3/2o   .         |    3 |    0    3 |    *    *    * 2400 |   1   0   0   1
--------------------+------+-----------+---------------------+----------------
x5x3/2o   .   *a5*c    60 |   60   60 |   12   12    0   20 | 120   *   *   *
x5x   .   o5/2*a       60 |   60   30 |   12    0   12    0 |   * 120   *   *
x .   o3/2o5/2*a5*c    20 |   60    0 |    0   12   12    0 |   *   * 120   *
. x3/2o3/2o             4 |    0    6 |    0    0    0    4 |   *   *   * 600

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