Acronym	sik vadixady
Name	small skewverted dishexacosidishecatonicosachoron
Circumradius	sqrt[13+4 sqrt(5)] = 4.684471
Colonel of regiment	skiv datapixady
Face vector	7200, 21600, 14640, 1440
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope sik vadixady is isomorphic to gik vadixady, thereby replacing pentagons by pentagrams, resp. replacing the srid by qrid and giid by siid.

Incidence matrix according to Dynkin symbol

o3x3x3x5*a3/2*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 . *a3/2*c |    3 |    0    3    0 |    * 2400    *    *    *    * |   1   0   1   0
o . . x5*a      |    5 |    0    0    5 |    *    * 1440    *    *    * |   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
. . x3x         |    6 |    0    3    3 |    *    *    *    *    * 2400 |   0   0   1   1
----------------+------+----------------+-------------------------------+----------------
o3x3x . *a3/2*c ♦   12 |   12   12    0 |    4    4    0    4    0    0 | 600   *   *   *
o3x . x5*a      ♦   60 |   60    0   60 |   20    0   12    0   30    0 |   * 120   *   *
o . x3x5*a3/2*c ♦   60 |    0   60   60 |    0   20   12    0    0   20 |   *   * 120   *
. x3x3x         ♦   24 |   12   12   12 |    0    0    0    4    6    4 |   *   *   * 600

o3/2x3x3x5/4*a3*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 .   *a3*c |    3 |    0    3    0 |    * 2400    *    *    *    * |   1   0   1   0
o   . . x5/4*a      |    5 |    0    0    5 |    *    * 1440    *    *    * |   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
.   . x3x         |    6 |    0    3    3 |    *    *    *    *    * 2400 |   0   0   1   1
------------------+------+----------------+-------------------------------+----------------
o3/2x3x .   *a3*c ♦   12 |   12   12    0 |    4    4    0    4    0    0 | 600   *   *   *
o3/2x . x5/4*a    ♦   60 |   60    0   60 |   20    0   12    0   30    0 |   * 120   *   *
o   . x3x5/4*a3*c ♦   60 |    0   60   60 |    0   20   12    0    0   20 |   *   * 120   *
.   x3x3x         ♦   24 |   12   12   12 |    0    0    0    4    6    4 |   *   *   * 600