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
hedrondude   polytopewiki   WikiChoron

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

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