Acronym	quippirgax
Name	quasiprismatorhombated grand hexacosachoron
Circumradius	sqrt[48-21 sqrt(5)] = 1.021064
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: cho co gaquatid oho quit gissid stiddip trip girpixhi 600 0 120 0 0 720 0 quippirgax 0 600 0 0 120 720 1200 gippixhihy 0 0 120 600 120 0 1200 )
Face vector	7200, 18000, 13440, 2640
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope quippirgax is isomorphic to prix, thereby replacing the decagrams by decagons, resp. replacing the quit gissid by tid and the stiddip by dip. – As such quippirgax is a lieutenant.

Incidence matrix according to Dynkin symbol

x3o3x5/3x

. . .   . | 7200 |    2    2    1 |    1    2    2    1    2 |   1    1   2   1
----------+------+----------------+--------------------------+-----------------
x . .   . |    2 | 7200    *    * |    1    1    1    0    0 |   1    1   1   0
. . x   . |    2 |    * 7200    * |    0    1    0    1    1 |   1    0   1   1
. . .   x |    2 |    *    * 3600 |    0    0    2    0    2 |   0    1   2   1
----------+------+----------------+--------------------------+-----------------
x3o .   . |    3 |    3    0    0 | 2400    *    *    *    * |   1    1   0   0
x . x   . |    4 |    2    2    0 |    * 3600    *    *    * |   1    0   1   0
x . .   x |    4 |    2    0    2 |    *    * 3600    *    * |   0    1   1   0
. o3x   . |    3 |    0    3    0 |    *    *    * 2400    * |   1    0   0   1
. . x5/3x |   10 |    0    5    5 |    *    *    *    * 1440 |   0    0   1   1
----------+------+----------------+--------------------------+-----------------
x3o3x   . ♦   12 |   12   12    0 |    4    6    0    4    0 | 600    *   *   *
x3o .   x ♦    6 |   12    0    6 |    2    0    3    0    0 |   * 1200   *   *
x . x5/3x ♦   20 |   10   10   10 |    0    5    5    0    2 |   *    * 720   *
. o3x5/3x ♦   60 |    0   60   30 |    0    0    0   20   12 |   *    *   * 120

x3/2o3/2x5/3x

.   .   .   . | 7200 |    2    2    1 |    1    2    2    1    2 |   1    1   2   1
--------------+------+----------------+--------------------------+-----------------
x   .   .   . |    2 | 7200    *    * |    1    1    1    0    0 |   1    1   1   0
.   .   x   . |    2 |    * 7200    * |    0    1    0    1    1 |   1    0   1   1
.   .   .   x |    2 |    *    * 3600 |    0    0    2    0    2 |   0    1   2   1
--------------+------+----------------+--------------------------+-----------------
x3/2o   .   . |    3 |    3    0    0 | 2400    *    *    *    * |   1    1   0   0
x   .   x   . |    4 |    2    2    0 |    * 3600    *    *    * |   1    0   1   0
x   .   .   x |    4 |    2    0    2 |    *    * 3600    *    * |   0    1   1   0
.   o3/2x   . |    3 |    0    3    0 |    *    *    * 2400    * |   1    0   0   1
.   .   x5/3x |   10 |    0    5    5 |    *    *    *    * 1440 |   0    0   1   1
--------------+------+----------------+--------------------------+-----------------
x3/2o3/2x   . ♦   12 |   12   12    0 |    4    6    0    4    0 | 600    *   *   *
x3/2o   .   x ♦    6 |   12    0    6 |    2    0    3    0    0 |   * 1200   *   *
x   .   x5/3x ♦   20 |   10   10   10 |    0    5    5    0    2 |   *    * 720   *
.   o3/2x5/3x ♦   60 |    0   60   30 |    0    0    0   20   12 |   *    *   * 120