Acronym	sik vixathi
Name	small skewverted hexacositriakishecatonicosachoro
Circumradius	sqrt[13+4 sqrt(5)] = 4.684471
Colonel of regiment	skiv datapixady
Face vector	7200, 21600, 13680, 960
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope sik vixathi is isomorphic to gik vixathi, thereby replacing pentagons by pentagrams and decagons by decagrams, respectively giid by siid, saddid by gaddid, and grid by gaquatid. – As such sik vixathi is a lieutenant.

Incidence matrix according to Dynkin symbol

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   0
o . x . *a5/4*c |    5 |    0    5    0 |    * 1440    *    *    *    * |   1   0   1   0
o . . 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

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   0
o   . x .   *a5*c |    5 |    0    5    0 |    * 1440    *    *    *    * |   1   0   1   0
o   . . 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