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Acronymsik vixathi
Namesmall skewverted hexacositriakishecatonicosachoro
Circumradiussqrt[13+4 sqrt(5)] = 4.684471
Colonel of regimentskiv datapixady
Face vector7200, 21600, 13680, 960
Confer
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude  polytopewiki  WikiChoron

As abstract polytope sik vixathi is isomorphic togik vixathi, thereby replacing pentagons by pentagrams and decagons by decagrams, respectivelygiid bysiid,saddid bygaddid, andgrid bygaquatid.– As such sik vixathi is alieutenant.


Incidence matrix according toDynkin symbol

        _o_            _3-  |  -3_     x<     5/4     >x     -3_  |  _5-            -x-
o3x3x5x3*a5/4*c. . . .         | 7200 |    2    2    2 |    1    1    1    2    2    2 |   1   1   1   2----------------+------+----------------+-------------------------------+----------------. x . .         |    2 | 7200    *    * |    1    0    0    1    1    0 |   1   1   0   1. . x .         |    2 |    * 7200    * |    0    1    0    1    0    1 |   1   0   1   1. . . x         |    2 |    *    * 7200 |    0    0    1    0    1    1 |   0   1   1   1----------------+------+----------------+-------------------------------+----------------o3x . .         |    3 |    3    0    0 | 2400    *    *    *    *    * |   1   1   0   0o . x . *a5/4*c |    5 |    0    5    0 |    * 1440    *    *    *    * |   1   0   1   0o . . x3*a      |    3 |    0    0    3 |    *    * 2400    *    *    * |   0   1   1   0. x3x .         |    6 |    3    3    0 |    *    *    * 2400    *    * |   1   0   0   1. x . x         |    4 |    2    0    2 |    *    *    *    * 3600    * |   0   1   0   1. . x5x         |   10 |    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1----------------+------+----------------+-------------------------------+----------------o3x3x . *a5/4*c   60 |   60   60    0 |   20   12    0   20    0    0 | 120   *   *   *o3x . x3*a   12 |   12    0   12 |    4    0    4    0    6    0 |   * 600   *   *o . x5x3*a5/4*c   60 |    0   60   60 |    0   12   20    0    0   12 |   *   * 120   *. x3x5x  120 |   60   60   60 |    0    0    0   20   30   12 |   *   *   * 120

        _o_            3/2  |  3/2     x<      5      >x     -3_  |  _5-            -x-
o3/2x3x5x3/2*a5*c.   . . .         | 7200 |    2    2    2 |    1    1    1    2    2    2 |   1   1   1   2------------------+------+----------------+-------------------------------+----------------.   x . .         |    2 | 7200    *    * |    1    0    0    1    1    0 |   1   1   0   1.   . x .         |    2 |    * 7200    * |    0    1    0    1    0    1 |   1   0   1   1.   . . x         |    2 |    *    * 7200 |    0    0    1    0    1    1 |   0   1   1   1------------------+------+----------------+-------------------------------+----------------o3/2x . .         |    3 |    3    0    0 | 2400    *    *    *    *    * |   1   1   0   0o   . x .   *a5*c |    5 |    0    5    0 |    * 1440    *    *    *    * |   1   0   1   0o   . . x3/2*a    |    3 |    0    0    3 |    *    * 2400    *    *    * |   0   1   1   0.   x3x .         |    6 |    3    3    0 |    *    *    * 2400    *    * |   1   0   0   1.   x . x         |    4 |    2    0    2 |    *    *    *    * 3600    * |   0   1   0   1.   . x5x         |   10 |    0    5    5 |    *    *    *    *    * 1440 |   0   0   1   1------------------+------+----------------+-------------------------------+----------------o3/2x3x .   *a5*c   60 |   60   60    0 |   20   12    0   20    0    0 | 120   *   *   *o3/2x . x3/2*a   12 |   12    0   12 |    4    0    4    0    6    0 |   * 600   *   *o   . x5x3/2*a5*c   60 |    0   60   60 |    0   12   20    0    0   12 |   *   * 120   *.   x3x5x  120 |   60   60   60 |    0    0    0   20   30   12 |   *   *   * 120

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