Acronym gishi
Name great stellated hecatonicosachoron
Cross sections
 ©
Circumradius (sqrt(5)-1)/2 = 0.618034
Inradius (sqrt(5)-1)/4 = 0.309017
General of army ex
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: gike gissid sissid tet
gishi 012000000
gashi 001200000
gax 000600000
gofix 120000000
& others)
Dual gahi
Dihedral angles
Confer
Grünbaumian relatives:
gishi+gashi   2gishi  
related scaliform:
gisp   gypasp  
general polytopal classes:
regular   noble polytopes  
External
links
hedrondude   wikipedia   WikiChoron  

As abstract polytope gishi is isomorphic to gahi, thereby replacing gissid by doe, resp. replacing pentagrammal faces by pentagonal ones, resp. replacing pentagonal edge figures each by pentagrammal ones, resp. replacing ike vertex figures by gike ones.


Incidence matrix according to Dynkin symbol

o5o3o5/2x

. . .   . | 120   12 |  30 |  20
----------+-----+-----+-----+----
. . .   x |   2 | 720 |   5 |   5
----------+-----+-----+-----+----
. . o5/2x |   5 |   5 | 720 |   2
----------+-----+-----+-----+----
. o3o5/2x   20 |  30 |  12 | 120

o5o3o5/3x

. . .   . | 120   12 |  30 |  20
----------+-----+-----+-----+----
. . .   x |   2 | 720 |   5 |   5
----------+-----+-----+-----+----
. . o5/3x |   5 |   5 | 720 |   2
----------+-----+-----+-----+----
. o3o5/3x   20 |  30 |  12 | 120

o5o3/2o5/2x

. .   .   . | 120   12 |  30 |  20
------------+-----+-----+-----+----
. .   .   x |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
. .   o5/2x |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
. o3/2o5/2x   20 |  30 |  12 | 120

o5o3/2o5/3x

. .   .   . | 120   12 |  30 |  20
------------+-----+-----+-----+----
. .   .   x |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
. .   o5/3x |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
. o3/2o5/3x   20 |  30 |  12 | 120

o5/4o3o5/2x

.   . .   . | 120   12 |  30 |  20
------------+-----+-----+-----+----
.   . .   x |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
.   . o5/2x |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
.   o3o5/2x   20 |  30 |  12 | 120

o5/4o3o5/3x

.   . .   . | 120   12 |  30 |  20
------------+-----+-----+-----+----
.   . .   x |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
.   . o5/3x |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
.   o3o5/3x   20 |  30 |  12 | 120

o5/4o3/2o5/2x

.   .   .   . | 120   12 |  30 |  20
--------------+-----+-----+-----+----
.   .   .   x |   2 | 720 |   5 |   5
--------------+-----+-----+-----+----
.   .   o5/2x |   5 |   5 | 720 |   2
--------------+-----+-----+-----+----
.   o3/2o5/2x   20 |  30 |  12 | 120

o5/4o3/2o5/3x

.   .   .   . | 120   12 |  30 |  20
--------------+-----+-----+-----+----
.   .   .   x |   2 | 720 |   5 |   5
--------------+-----+-----+-----+----
.   .   o5/3x |   5 |   5 | 720 |   2
--------------+-----+-----+-----+----
.   o3/2o5/3x   20 |  30 |  12 | 120

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