Acronym sidpixhi
Name small disprismatohexacosihecatonicosachoron,
runcinated hecatonicosachoron,
runcinated hexacosachoron
Cross sections
 ©
Circumradius 3+sqrt(5) = 5.236068
Vertex figure
 ©
General of army (is itself convex)
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: doe pip saddid srid tet trip
sidpixhi 120720006001200
sixhihy 120012006000
six fipady 1200012001200
  & others)
Confer
variations:
x3o3o5v  
segmentochora:
doe || srid  
other CRFs:
idsid pixhi   bidsid pixhi  
External
links
hedrondude   wikipedia   WikiChoron   quickfur

As abstract polytope sidpixhi is isomorphic to quidpixhi, thereby replacing the pentagons by pentagrams, resp. replacing doe by gissid and pip by stip.


Incidence matrix according to Dynkin symbol

x3o3o5x

. . . . | 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
--------+------+-----------+----------------+-----------------
x3o3o .     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   *
. o3o5x    20 |    0   30 |    0    0   12 |   *    *   * 120

x3o3/2o5/4x

. .   .   . | 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
------------+------+-----------+----------------+-----------------
x3o3/2o   .     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   *
. o3/2o5/4x    20 |    0   30 |    0    0   12 |   *    *   * 120

x3/2o3o5/4x

.   . .   . | 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
------------+------+-----------+----------------+-----------------
x3/2o3o   .     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   *
.   o3o5/4x    20 |    0   30 |    0    0   12 |   *    *   * 120

x3/2o3/2o5x

.   .   . . | 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
------------+------+-----------+----------------+-----------------
x3/2o3/2o .     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   *
.   o3/2o5x    20 |    0   30 |    0    0   12 |   *    *   * 120

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