Acronym	quippirfix
Name	quasiprismatorhombated faceted hexacosachoron
Circumradius	sqrt[8+2 sqrt(5)] = 3.531591
General of army	1/F-f3x3o5x
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: quitdid quit sissid saddid srid stiddip trip gipthi 120 120 120 0 0 1200 quippirfix 0 120 0 120 720 1200 & others)
Face vector	7200, 18000, 12480, 2160
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope quippirfix is isomorphic to paquerfix, thereby replacing the decagrams by decagons and the pentagons by pentagrams, resp. replacing the srid by qrid, the quit sissid by tigid, and the stiddip by dip.

Incidence matrix according to Dynkin symbol

x5/3x5o3x

.   . . . | 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
----------+------+----------------+--------------------------+-----------------
x5/3x . . |   10 |    5    5    0 | 1440    *    *    *    * |   1   1    0   0
x   . . x |    4 |    2    0    2 |    * 3600    *    *    * |   0   1    1   0
.   x5o . |    5 |    0    5    0 |    *    * 1440    *    * |   1   0    0   1
.   x . x |    4 |    0    2    2 |    *    *    * 3600    * |   0   1    0   1
.   . o3x |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
----------+------+----------------+--------------------------+-----------------
x5/3x5o . ♦   60 |   30   60    0 |   12    0   12    0    0 | 120   *    *   *
x5/3x . x ♦   20 |   10   10   10 |    2    5    0    5    0 |   * 720    *   *
x   . o3x ♦    6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
.   x5o3x ♦   60 |    0   60   60 |    0    0   12   30   20 |   *   *    * 120

x5/3x5/4o3/2x

.   .   .   . | 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
--------------+------+----------------+--------------------------+-----------------
x5/3x   .   . |   10 |    5    5    0 | 1440    *    *    *    * |   1   1    0   0
x   .   .   x |    4 |    2    0    2 |    * 3600    *    *    * |   0   1    1   0
.   x5/4o   . |    5 |    0    5    0 |    *    * 1440    *    * |   1   0    0   1
.   x   .   x |    4 |    0    2    2 |    *    *    * 3600    * |   0   1    0   1
.   .   o3/2x |    3 |    0    0    3 |    *    *    *    * 2400 |   0   0    1   1
--------------+------+----------------+--------------------------+-----------------
x5/3x5/4o   . ♦   60 |   30   60    0 |   12    0   12    0    0 | 120   *    *   *
x5/3x   .   x ♦   20 |   10   10   10 |    2    5    0    5    0 |   * 720    *   *
x   .   o3/2x ♦    6 |    3    0    6 |    0    3    0    0    2 |   *   * 1200   *
.   x5/4o3/2x ♦   60 |    0   60   60 |    0    0   12   30   20 |   *   *    * 120