Acronym	quad pagaxhi
Name	quasidisprismatogrand hexacosihecatonicosachoron
Cross sections	©
Circumradius	sqrt[3-sqrt(5)] = 0.874032
General of army	hi
Colonel of regiment	gadtaxady
Face vector	2400, 7200, 7440, 2640
Confer	general polytopal classes: Wythoffian polychora
External links

The quasidisprismatogrand hexacosihecatonicosachoron is an edge-faceting of the grand ditetrahedronary hexacosidishecatonicosachoron (gadtaxady). As such it is a fissary polychoron (Type A), as its vertices are coincident by 4 (each vertex figure then is vo3ox&#q) and edges are coincident by pairs. Thus it looks like Type B. Its vertex figure then is a compound faceting of v3o3x.

As abstract polytope quad pagaxhi is isomorphic to saquid paxhi, thereby replacing pentagrams by pentagons, resp. replacing gissid by doe and stip by pip.

Incidence matrix according to Dynkin symbol

x3o3o5/2x – Type A

. . .   . | 2400 |    3    3 |    3    6    3 |   1    3   3   1
----------+------+-----------+----------------+-----------------
x . .   . |    2 | 3600    * |    2    2    0 |   1    2   1   0
. . .   x |    2 |    * 3600 |    0    2    2 |   0    1   2   1
----------+------+-----------+----------------+-----------------
x3o .   . |    3 |    3    0 | 2400    *    * |   1    1   0   0
x . .   x |    4 |    2    2 |    * 3600    * |   0    1   1   0
. . o5/2x |    5 |    0    5 |    *    * 1440 |   0    0   1   1
----------+------+-----------+----------------+-----------------
x3o3o   . ♦    4 |    6    0 |    4    0    0 | 600    *   *   *
x3o .   x ♦    6 |    6    3 |    2    3    0 |   * 1200   *   *
x . o5/2x ♦   10 |    5   10 |    0    5    2 |   *    * 720   *
. o3o5/2x ♦   20 |    0   30 |    0    0   12 |   *    *   * 120

x3o3/2o5/3x – Type A

. .   .   . | 2400 |    3    3 |    3    6    3 |   1    3   3   1
------------+------+-----------+----------------+-----------------
x .   .   . |    2 | 3600    * |    2    2    0 |   1    2   1   0
. .   .   x |    2 |    * 3600 |    0    2    2 |   0    1   2   1
------------+------+-----------+----------------+-----------------
x3o   .   . |    3 |    3    0 | 2400    *    * |   1    1   0   0
x .   .   x |    4 |    2    2 |    * 3600    * |   0    1   1   0
. .   o5/3x |    5 |    0    5 |    *    * 1440 |   0    0   1   1
------------+------+-----------+----------------+-----------------
x3o3/2o   . ♦    4 |    6    0 |    4    0    0 | 600    *   *   *
x3o   .   x ♦    6 |    6    3 |    2    3    0 |   * 1200   *   *
x .   o5/3x ♦   10 |    5   10 |    0    5    2 |   *    * 720   *
. o3/2o5/3x ♦   20 |    0   30 |    0    0   12 |   *    *   * 120

x3/2o3o5/3x – Type A

.   . .   . | 2400 |    3    3 |    3    6    3 |   1    3   3   1
------------+------+-----------+----------------+-----------------
x   . .   . |    2 | 3600    * |    2    2    0 |   1    2   1   0
.   . .   x |    2 |    * 3600 |    0    2    2 |   0    1   2   1
------------+------+-----------+----------------+-----------------
x3/2o .   . |    3 |    3    0 | 2400    *    * |   1    1   0   0
x   . .   x |    4 |    2    2 |    * 3600    * |   0    1   1   0
.   . o5/3x |    5 |    0    5 |    *    * 1440 |   0    0   1   1
------------+------+-----------+----------------+-----------------
x3/2o3o   . ♦    4 |    6    0 |    4    0    0 | 600    *   *   *
x3/2o .   x ♦    6 |    6    3 |    2    3    0 |   * 1200   *   *
x   . o5/3x ♦   10 |    5   10 |    0    5    2 |   *    * 720   *
.   o3o5/3x ♦   20 |    0   30 |    0    0   12 |   *    *   * 120

x3/2o3/2o5/2x – Type A

.   .   .   . | 2400 |    3    3 |    3    6    3 |   1    3   3   1
--------------+------+-----------+----------------+-----------------
x   .   .   . |    2 | 3600    * |    2    2    0 |   1    2   1   0
.   .   .   x |    2 |    * 3600 |    0    2    2 |   0    1   2   1
--------------+------+-----------+----------------+-----------------
x3/2o   .   . |    3 |    3    0 | 2400    *    * |   1    1   0   0
x   .   .   x |    4 |    2    2 |    * 3600    * |   0    1   1   0
.   .   o5/2x |    5 |    0    5 |    *    * 1440 |   0    0   1   1
--------------+------+-----------+----------------+-----------------
x3/2o3/2o   . ♦    4 |    6    0 |    4    0    0 | 600    *   *   *
x3/2o   .   x ♦    6 |    6    3 |    2    3    0 |   * 1200   *   *
x   .   o5/2x ♦   10 |    5   10 |    0    5    2 |   *    * 720   *
.   o3/2o5/2x ♦   20 |    0   30 |    0    0   12 |   *    *   * 120

Type B

 600 |   12 |   12   24   12 |   4   12  12   4
-----+------+----------------+-----------------
   2 | 3600 |    2    4    2 |   1    3   3   1
-----+------+----------------+-----------------
   3 |    3 | 2400    *    * |   1    1   0   0
   4 |    4 |    * 3600    * |   0    1   1   0
   5 |    5 |    *    * 1440 |   0    0   1   1
-----+------+----------------+-----------------
♦  4 |    6 |    4    0    0 | 600    *   *   *
♦  6 |    9 |    2    3    0 |   * 1200   *   *
♦ 10 |   15 |    0    5    2 |   *    * 720   *
♦ 20 |   30 |    0    0   12 |   *    *   * 120