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
External
links
hedrondude   polytopewiki  

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

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