Acronym affixthi
Name antifrustic hexacositrishecatonicosachoron
Cross sections
 ©
Circumradius sqrt(5) = 2.236068
Vertex figure
 ©
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: did gaddid gidditdid giddy giid gird idtid oct qrid quitdid saddid sidditdid siddy siid sird srid toe
affixthi 1201201200000600000000000
girfixthi 1200001200060000000120000
sirfixthi 1200000006001200000001200
raffixthi 1200000006000012012000000
safthi 01200120000000000120000
gafthi 00120001200000000001200
girfthi 00001200000012001200000
sirfixady 00001200000000000120600
snifthi 00000120120000000012000
affidhi 000000120001200000000
sirfthi 00000000120001200012000
girfixady 00000000120000012000600
& others)
Face vector 3600, 14400, 9120, 960
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope affixthi is isomorphic to raffixthi, thereby interchanging the roles of pentagrams and pentagons, and replacing decagrams by decagons, resp. replacing gidditdid by sidditdid and gaddid by saddid.


Incidence matrix according to Dynkin symbol

x3o5x5/2o3*a5/3*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   . *a5/3*c |   10 |    5    5 |    * 1440    *    *    * |   1   0   1   0
x . .   o3*a      |    3 |    3    0 |    *    * 2400    *    * |   0   1   1   0
. o5x   .         |    5 |    0    5 |    *    *    * 1440    * |   1   0   0   1
. . x5/2o         |    5 |    0    5 |    *    *    *    * 1440 |   0   0   1   1
------------------+------+-----------+--------------------------+----------------
x3o5x   . *a5/3*c    60 |   60   60 |   20   12    0   12    0 | 120   *   *   *
x3o .   o3*a          6 |   12    0 |    4    0    4    0    0 |   * 600   *   *
x . x5/2o3*a5/3*c    60 |   60   60 |    0   12   20    0   12 |   *   * 120   *
. o5x5/2o            30 |    0   60 |    0    0    0   12   12 |   *   *   * 120

x3o5x5/3o3/2*a5/3*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   .   *a5/3*c |   10 |    5    5 |    * 1440    *    *    * |   1   0   1   0
x . .   o3/2*a      |    3 |    3    0 |    *    * 2400    *    * |   0   1   1   0
. o5x   .           |    5 |    0    5 |    *    *    * 1440    * |   1   0   0   1
. . x5/3o           |    5 |    0    5 |    *    *    *    * 1440 |   0   0   1   1
--------------------+------+-----------+--------------------------+----------------
x3o5x   .   *a5/3*c    60 |   60   60 |   20   12    0   12    0 | 120   *   *   *
x3o .   o3/2*a          6 |   12    0 |    4    0    4    0    0 |   * 600   *   *
x . x5/3o3/2*a5/3*c    60 |   60   60 |    0   12   20    0   12 |   *   * 120   *
. o5x5/3o              30 |    0   60 |    0    0    0   12   12 |   *   *   * 120

x3/2o5/4x5/2o3*a5/3*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   . *a5/3*c |   10 |    5    5 |    * 1440    *    *    * |   1   0   1   0
x   .   .   o3*a      |    3 |    3    0 |    *    * 2400    *    * |   0   1   1   0
.   o5/4x   .         |    5 |    0    5 |    *    *    * 1440    * |   1   0   0   1
.   .   x5/2o         |    5 |    0    5 |    *    *    *    * 1440 |   0   0   1   1
----------------------+------+-----------+--------------------------+----------------
x3/2o5/4x   . *a5/3*c    60 |   60   60 |   20   12    0   12    0 | 120   *   *   *
x3/2o   .   o3*a          6 |   12    0 |    4    0    4    0    0 |   * 600   *   *
x   .   x5/2o3*a5/3*c    60 |   60   60 |    0   12   20    0   12 |   *   * 120   *
.   o5/4x5/2o            30 |    0   60 |    0    0    0   12   12 |   *   *   * 120

x3/2o5/4x5/3o3/2*a5/3*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   .   *a5/3*c |   10 |    5    5 |    * 1440    *    *    * |   1   0   1   0
x   .   .   o3/2*a      |    3 |    3    0 |    *    * 2400    *    * |   0   1   1   0
.   o5/4x   .           |    5 |    0    5 |    *    *    * 1440    * |   1   0   0   1
.   .   x5/3o           |    5 |    0    5 |    *    *    *    * 1440 |   0   0   1   1
------------------------+------+-----------+--------------------------+----------------
x3/2o5/4x   .   *a5/3*c    60 |   60   60 |   20   12    0   12    0 | 120   *   *   *
x3/2o   .   o3/2*a          6 |   12    0 |    4    0    4    0    0 |   * 600   *   *
x   .   x5/3o3/2*a5/3*c    60 |   60   60 |    0   12   20    0   12 |   *   * 120   *
.   o5/4x5/3o              30 |    0   60 |    0    0    0   12   12 |   *   *   * 120

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