Acronym	saquid paxhi
Name	small quasidisprismatohexacosihecatonicosachoron, Holey Terror
Cross sections	©
Circumradius	sqrt[3+sqrt(5)] = 2.288246
General of army	hi
Colonel of regiment	sidtaxhi
Confer	general polytopal classes: Wythoffian polychora
External links

The small quasidisprismatohexacosihecatonicosachoron can be obtained as an edge-faceting of the small ditetrahedronary hexacosihecatonicosachoron (sidtaxhi). 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. That ones vertex figure is a (mostly empty) compound faceting of v3x3o.

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

Incidence matrix according to Dynkin symbol

x3o3o5/4x – 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
. . o5/4x |    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 . o5/4x ♦   10 |    5   10 |    0    5    2 |   *    * 720   *
. o3o5/4x ♦   20 |    0   30 |    0    0   12 |   *    *   * 120

x3o3/2o5x – 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
. .   o5x |    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 .   o5x ♦   10 |    5   10 |    0    5    2 |   *    * 720   *
. o3/2o5x ♦   20 |    0   30 |    0    0   12 |   *    *   * 120

x3/2o3o5x – 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
.   . o5x |    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   . o5x ♦   10 |    5   10 |    0    5    2 |   *    * 720   *
.   o3o5x ♦   20 |    0   30 |    0    0   12 |   *    *   * 120

x3/2o3/2o5/4x – 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
.   .   o5/4x |    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   .   o5/4x ♦   10 |    5   10 |    0    5    2 |   *    * 720   *
.   o3/2o5/4x ♦   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