Acronym	spixady
Name	small prismatohexacosadishecatonicosachoron
Circumradius	sqrt[35+15 sqrt(5)] = 8.278950
Colonel of regiment	prahi
Face vector	7200, 18000, 11280, 1560
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope spixady is isomorphic to gippixady, thereby replacing pentagons by pentagrams and decagons by decagrams, respectively grid by gaquatid, pip by stip, and saddid by gaddid. – As such spixady is a lieutenant.

Incidence matrix according to Dynkin symbol

x3x3o5/4x5*b

. . .   .    | 7200 |    1    2    2 |    2    2    1    2    1 |   1   2   1   1
-------------+------+----------------+--------------------------+----------------
x . .   .    |    2 | 3600    *    * |    2    2    0    0    0 |   1   2   1   0
. x .   .    |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. . .   x    |    2 |    *    * 7200 |    0    1    0    1    1 |   0   1   1   1
-------------+------+----------------+--------------------------+----------------
x3x .   .    |    6 |    3    3    0 | 2400    *    *    *    * |   1   1   0   0
x . .   x    |    4 |    2    0    2 |    * 3600    *    *    * |   0   1   1   0
. x3o   .    |    3 |    0    3    0 |    *    * 2400    *    * |   1   0   0   1
. x .   x5*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1   0   1
. . o5/4x    |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x3x3o   .    ♦   12 |    6   12    0 |    4    0    4    0    0 | 600   *   *   *
x3x .   x5*b ♦  120 |   60   60   60 |   20   30    0   12    0 |   * 120   *   *
x . o5/4x    ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3o5/4x5*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120

x3x3/2o5x5*b

. .   . .    | 7200 |    1    2    2 |    2    2    1    2    1 |   1   2   1   1
-------------+------+----------------+--------------------------+----------------
x .   . .    |    2 | 3600    *    * |    2    2    0    0    0 |   1   2   1   0
. x   . .    |    2 |    * 7200    * |    1    0    1    1    0 |   1   1   0   1
. .   . x    |    2 |    *    * 7200 |    0    1    0    1    1 |   0   1   1   1
-------------+------+----------------+--------------------------+----------------
x3x   . .    |    6 |    3    3    0 | 2400    *    *    *    * |   1   1   0   0
x .   . x    |    4 |    2    0    2 |    * 3600    *    *    * |   0   1   1   0
. x3/2o .    |    3 |    0    3    0 |    *    * 2400    *    * |   1   0   0   1
. x   . x5*b |   10 |    0    5    5 |    *    *    * 1440    * |   0   1   0   1
. .   o5x    |    5 |    0    0    5 |    *    *    *    * 1440 |   0   0   1   1
-------------+------+----------------+--------------------------+----------------
x3x3/2o .    ♦   12 |    6   12    0 |    4    0    4    0    0 | 600   *   *   *
x3x   . x5*b ♦  120 |   60   60   60 |   20   30    0   12    0 |   * 120   *   *
x .   o5x    ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3/2o5x5*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120