Acronym padohi
Name prismatodishecatonicosachoron
Cross sections
 ©
Circumradius sqrt[4+sqrt(5)] = 2.497212
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: gad gike ike oho raded saddid sidditdid sissid stip ti trip tut
sidipthi 120120000120000000
sidpixathi 12012000000001200600
sid pippady 120000120000720000
sad phiddix 001206000000000600
sisdipthi 001200001201200000
padohi 001200000120720012000
& others)
Confer
related segmentochora:
sissid || raded  
related scaliform:
prissi  
decompositions:
fix || padohi  
External
links
hedrondude   polytopewiki   WikiChoron  

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

Chopping off all but 288 vertices results in prissi. This could be seen best from the vertex figure of padohi: vo5ox&#q, of which the vertex figure of prissi is a faceting.

If considered with according densities, then padohi can be thought of as the external blend of 1 fix + 120 sissidpies + 720 stappyps + 1200 triddips + 120 ipes. This decomposition is described as the degenerate segmentoteron ox5/2oo5oo3xx&#x.


Incidence matrix according to Dynkin symbol

x3o5o5/2x

. . .   . | 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
. . o5/2x |    5 |    0    5 |    *    * 1440 |   0    0   1   1
----------+------+-----------+----------------+-----------------
x3o5o   .    12 |   30    0 |   20    0    0 | 120    *   *   *
x3o .   x     6 |    6    3 |    2    3    0 |   * 1200   *   *
x . o5/2x    10 |    5   10 |    0    5    2 |   *    * 720   *
. o5o5/2x    12 |    0   30 |    0    0   12 |   *    *   * 120

x3o5/4o5/3x

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

x3/2o5o5/3x

.   . .   . | 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
.   . o5/3x |    5 |    0    5 |    *    * 1440 |   0    0   1   1
------------+------+-----------+----------------+-----------------
x3/2o5o   .    12 |   30    0 |   20    0    0 | 120    *   *   *
x3/2o .   x     6 |    6    3 |    2    3    0 |   * 1200   *   *
x   . o5/3x    10 |    5   10 |    0    5    2 |   *    * 720   *
.   o5o5/3x    12 |    0   30 |    0    0   12 |   *    *   * 120

x3/2o5/4o5/2x

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

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