Acronym gashi
Name grand stellated hecatonicosachoron
Cross sections
 ©
Circumradius (sqrt(5)-1)/2 = 0.618034
Inradius (3-sqrt(5))/4 = 0.190983
General of army ex
Colonel of regiment gishi
Dual (selfdual)
Dihedral angles
Confer
Grünbaumian relatives:
2gashi   gax+gashi+120gid   gishi+gashi  
general polytopal classes:
regular   noble polytopes  
External
links
hedrondude   wikipedia   WikiChoron  

As abstract polytope gashi is isomorphic to gohi, thereby replacing sissid by gad, resp. replacing pentagrammal faces and edge figures each by pentagonal ones, resp. replacing gad vertex figures by sissid ones.

A selfdual polychoron.


Incidence matrix according to Dynkin symbol

x5/2o5o5/2o

.   . . . | 120   12 |  30 |  12
----------+-----+-----+-----+----
x   . . . |   2 | 720 |   5 |   5
----------+-----+-----+-----+----
x5/2o . . |   5 |   5 | 720 |   2
----------+-----+-----+-----+----
x5/2o5o .   12 |  30 |  12 | 120

x5/2o5o5/3o

.   . . . | 120   12 |  30 |  12
----------+-----+-----+-----+----
x   . . . |   2 | 720 |   5 |   5
----------+-----+-----+-----+----
x5/2o . . |   5 |   5 | 720 |   2
----------+-----+-----+-----+----
x5/2o5o .   12 |  30 |  12 | 120

x5/2o5/4o5/2o

.   .   . . | 120   12 |  30 |  12
------------+-----+-----+-----+----
x   .   . . |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
x5/2o   . . |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
x5/2o5/4o .   12 |  30 |  12 | 120

x5/2o5/4o5/3o

.   .   . . | 120   12 |  30 |  12
------------+-----+-----+-----+----
x   .   . . |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
x5/2o   . . |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
x5/2o5/4o .   12 |  30 |  12 | 120

x5/3o5o5/2o

.   . . . | 120   12 |  30 |  12
----------+-----+-----+-----+----
x   . . . |   2 | 720 |   5 |   5
----------+-----+-----+-----+----
x5/3o . . |   5 |   5 | 720 |   2
----------+-----+-----+-----+----
x5/3o5o .   12 |  30 |  12 | 120

x5/3o5o5/3o

.   . . . | 120   12 |  30 |  12
----------+-----+-----+-----+----
x   . . . |   2 | 720 |   5 |   5
----------+-----+-----+-----+----
x5/3o . . |   5 |   5 | 720 |   2
----------+-----+-----+-----+----
x5/3o5o .   12 |  30 |  12 | 120

x5/3o5/4o5/2o

.   .   . . | 120   12 |  30 |  12
------------+-----+-----+-----+----
x   .   . . |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
x5/3o   . . |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
x5/3o5/4o .   12 |  30 |  12 | 120

x5/3o5/4o5/3o

.   .   . . | 120   12 |  30 |  12
------------+-----+-----+-----+----
x   .   . . |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
x5/3o   . . |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
x5/3o5/4o .   12 |  30 |  12 | 120

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