Acronym quipdohi
Name quasiprismatodishecatonicosachoron
Circumradius sqrt[4-sqrt(5)] = 1.328131
Colonel of regiment gidipthi
Dihedral angles
  • at {3} between gike and trip:   150°
  • at {4} between pip and trip:   arccos(-sqrt[(10-2 sqrt(5))/15]) = 127.377368°
  • at {5} between gad and pip:   126°
Face vector 1440, 7200, 7440, 2160
Confer
decompositions:
gofix || quipdohi  
general polytopal classes:
Wythoffian polychora  
External
links
hedrondude   polytopewiki   WikiChoron

As abstract polytope quipdohi is isomorphic to padohi, thereby replacing pentagons and pentagrams, resp. replacing gike by ike, gad by sissid and pip by stip.

If considered with according densities, then quipdohi can be thought of as the external blend of 1 gofix + 120 gadpies + 720 peppyps + 1200 triddips + 120 gipes. This decomposition is described as the degenerate segmentoteron ox5oo5/2oo3xx&#x.


Incidence matrix according to Dynkin symbol

x3o5/2o5x

. .   . . | 1440 |    5    5 |    5   10    5 |   1    5   5   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
----------+------+-----------+----------------+-----------------
x3o5/2o .    12 |   30    0 |   20    0    0 | 120    *   *   *
x3o   . x     6 |    6    3 |    2    3    0 |   * 1200   *   *
x .   o5x    10 |    5   10 |    0    5    2 |   *    * 720   *
. o5/2o5x    12 |    0   30 |    0    0   12 |   *    *   * 120

x3o5/3o5/4x

. .   .   . | 1440 |    5    5 |    5   10    5 |   1    5   5   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
------------+------+-----------+----------------+-----------------
x3o5/3o   .    12 |   30    0 |   20    0    0 | 120    *   *   *
x3o   .   x     6 |    6    3 |    2    3    0 |   * 1200   *   *
x .   o5/4x    10 |    5   10 |    0    5    2 |   *    * 720   *
. o5/3o5/4x    12 |    0   30 |    0    0   12 |   *    *   * 120

x3/2o5/2o5/4x

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

x3/2o5/3o5x

.   .   . . | 1440 |    5    5 |    5   10    5 |   1    5   5   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
------------+------+-----------+----------------+-----------------
x3/2o5/3o .    12 |   30    0 |   20    0    0 | 120    *   *   *
x3/2o   . x     6 |    6    3 |    2    3    0 |   * 1200   *   *
x   .   o5x    10 |    5   10 |    0    5    2 |   *    * 720   *
.   o5/3o5x    12 |    0   30 |    0    0   12 |   *    *   * 120

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