Acronym	sixipady
Name	small hexacosiprismatodishecatonicosachoron
Circumradius	sqrt[25+10 sqrt(5)] = 6.881910
Colonel of regiment	sphiddix
Face vector	7200, 18000, 11280, 1560
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope sixipady is isomorphic to gixipady, thereby replacing pentagrams by pentagons and decagons by decagrams, resp. sidditdid by gidditdid, grid by gaquatid, and stip by pip. – As such sixipady is a lieutenant.

Incidence matrix according to Dynkin symbol

x3x3o5/3x5*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
. . o5/3x    |    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 . o5/3x    ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3o5/3x5*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120

x3x3/2o5/2x5*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
. .   o5/2x    |    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 .   o5/2x    ♦   10 |    5    0   10 |    0    5    0    0    2 |   *   * 720   *
. x3/2o5/2x5*b ♦   60 |    0   60   60 |    0    0   20   12   12 |   *   *   * 120