Acronym quadippady
Name quasidisprismatodishecatonicosachoron,
Unholey Terror
Cross sections
 ©
Circumradius sqrt(2) = 1.414214
General of army hi
Colonel of regiment dattady
External
links
hedrondude  

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) compund 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

© 2004-2019
top of page