Acronym	quadippady
Name	quasidisprismatodishecatonicosachoron, Unholey Terror
Cross sections	©
Circumradius	sqrt(2) = 1.414214
General of army	hi
Colonel of regiment	dattady
Face vector	2400, 7200, 6480, 1680
Confer	general polytopal classes: Wythoffian polychora
External links

The quasidisprismatodishecatonicosachoron is an edge-faceting of the ditetrahedronary dishecatonicosachoron (dattady). As such it is a fissary polychoron (Type A), as its vertices are coincident by 4 and edges coincident by pairs. Thus it looks like Type B. Its vertex figure is a (mostly empty) compound faceting of x3v3o.

As abstract polytope quadippady is automorph, thereby replacing pentagons by pentagrams, resp. replacing doe by gissid and pip by stip.

Incidence matrix according to Dynkin symbol

x5o3o5/3x – 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
----------+------+-----------+----------------+----------------
x5o .   . |    5 |    5    0 | 1440    *    * |   1   1   0   0
x . .   x |    4 |    2    2 |    * 3600    * |   0   1   1   0
. . o5/3x |    5 |    0    5 |    *    * 1440 |   0   0   1   1
----------+------+-----------+----------------+----------------
x5o3o   . ♦   20 |   30    0 |   12    0    0 | 120   *   *   *
x5o .   x ♦   10 |   10    5 |    2    5    0 |   * 720   *   *
x . o5/3x ♦   10 |    5   10 |    0    5    2 |   *   * 720   *
. o3o5/3x ♦   20 |    0   30 |    0    0   12 |   *   *   * 120

x5o3/2o5/2x – 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
------------+------+-----------+----------------+----------------
x5o   .   . |    5 |    5    0 | 1440    *    * |   1   1   0   0
x .   .   x |    4 |    2    2 |    * 3600    * |   0   1   1   0
. .   o5/2x |    5 |    0    5 |    *    * 1440 |   0   0   1   1
------------+------+-----------+----------------+----------------
x5o3/2o   . ♦   20 |   30    0 |   12    0    0 | 120   *   *   *
x5o   .   x ♦   10 |   10    5 |    2    5    0 |   * 720   *   *
x .   o5/2x ♦   10 |    5   10 |    0    5    2 |   *   * 720   *
. o3/2o5/2x ♦   20 |    0   30 |    0    0   12 |   *   *   * 120

x5/4o3o5/2x – 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
------------+------+-----------+----------------+----------------
x5/4o .   . |    5 |    5    0 | 1440    *    * |   1   1   0   0
x   . .   x |    4 |    2    2 |    * 3600    * |   0   1   1   0
.   . o5/2x |    5 |    0    5 |    *    * 1440 |   0   0   1   1
------------+------+-----------+----------------+----------------
x5/4o3o   . ♦   20 |   30    0 |   12    0    0 | 120   *   *   *
x5/4o .   x ♦   10 |   10    5 |    2    5    0 |   * 720   *   *
x   . o5/2x ♦   10 |    5   10 |    0    5    2 |   *   * 720   *
.   o3o5/2x ♦   20 |    0   30 |    0    0   12 |   *   *   * 120

x5/4o3/2o5/3x – 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
--------------+------+-----------+----------------+----------------
x5/4o   .   . |    5 |    5    0 | 1440    *    * |   1   1   0   0
x   .   .   x |    4 |    2    2 |    * 3600    * |   0   1   1   0
.   .   o5/3x |    5 |    0    5 |    *    * 1440 |   0   0   1   1
--------------+------+-----------+----------------+----------------
x5/4o3/2o   . ♦   20 |   30    0 |   12    0    0 | 120   *   *   *
x5/4o   .   x ♦   10 |   10    5 |    2    5    0 |   * 720   *   *
x   .   o5/3x ♦   10 |    5   10 |    0    5    2 |   *   * 720   *
.   o3/2o5/3x ♦   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
-----+------+----------------+----------------
   5 |    5 | 1440    *    * |   1   1   0   0
   4 |    4 |    * 3600    * |   0   1   1   0
   5 |    5 |    *    * 1440 |   0   0   1   1
-----+------+----------------+----------------
♦ 20 |   30 |   12    0    0 | 120   *   *   *
♦ 10 |   15 |    2    5    0 |   * 720   *   *
♦ 10 |   15 |    0    5    2 |   *   * 720   *
♦ 20 |   30 |    0    0   12 |   *   *   * 120