Acronym gogishi
Name great grand stellated hecatonicosachoron
Cross sections
 ©
Circumradius sqrt[7-3 sqrt(5)] = 0.540182
Inradius (7-3 sqrt(5))/4 = 0.072949
General of army hi
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: gissid
gogishi 120
)
Dual gax
Dihedral angles
Confer
Grünbaumian relatives:
2gogishi  
general polytopal classes:
regular   noble polytopes  
External
links
hedrondude   wikipedia   WikiChoron  

As abstract polytope gogishi is isomorphic to hi, thereby replacing pentagrams by pentagons resp. replacing gissid by doe.


Incidence matrix according to Dynkin symbol

o3o3o5/2x

. . .   . | 600     4 |   6 |   4
----------+-----+------+-----+----
. . .   x |   2 | 1200 |   3 |   3
----------+-----+------+-----+----
. . o5/2x |   5 |    5 | 720 |   2
----------+-----+------+-----+----
. o3o5/2x   20 |   30 |  12 | 120

o3o3o5/3x

. . .   . | 600     4 |   6 |   4
----------+-----+------+-----+----
. . .   x |   2 | 1200 |   3 |   3
----------+-----+------+-----+----
. . o5/3x |   5 |    5 | 720 |   2
----------+-----+------+-----+----
. o3o5/3x   20 |   30 |  12 | 120

o3o3/2o5/2x

. .   .   . | 600     4 |   6 |   4
------------+-----+------+-----+----
. .   .   x |   2 | 1200 |   3 |   3
------------+-----+------+-----+----
. .   o5/2x |   5 |    5 | 720 |   2
------------+-----+------+-----+----
. o3/2o5/2x   20 |   30 |  12 | 120

o3o3/2o5/3x

. .   .   . | 600     4 |   6 |   4
------------+-----+------+-----+----
. .   .   x |   2 | 1200 |   3 |   3
------------+-----+------+-----+----
. .   o5/3x |   5 |    5 | 720 |   2
------------+-----+------+-----+----
. o3/2o5/3x   20 |   30 |  12 | 120

o3/2o3o5/2x

.   . .   . | 600     4 |   6 |   4
------------+-----+------+-----+----
.   . .   x |   2 | 1200 |   3 |   3
------------+-----+------+-----+----
.   . o5/2x |   5 |    5 | 720 |   2
------------+-----+------+-----+----
.   o3o5/2x   20 |   30 |  12 | 120

o3/2o3o5/3x

.   . .   . | 600     4 |   6 |   4
------------+-----+------+-----+----
.   . .   x |   2 | 1200 |   3 |   3
------------+-----+------+-----+----
.   . o5/3x |   5 |    5 | 720 |   2
------------+-----+------+-----+----
.   o3o5/3x   20 |   30 |  12 | 120

o3/2o3/2o5/2x

.   .   .   . | 600     4 |   6 |   4
--------------+-----+------+-----+----
.   .   .   x |   2 | 1200 |   3 |   3
--------------+-----+------+-----+----
.   .   o5/2x |   5 |    5 | 720 |   2
--------------+-----+------+-----+----
.   o3/2o5/2x   20 |   30 |  12 | 120

o3/2o3/2o5/3x

.   .   .   . | 600     4 |   6 |   4
--------------+-----+------+-----+----
.   .   .   x |   2 | 1200 |   3 |   3
--------------+-----+------+-----+----
.   .   o5/3x |   5 |    5 | 720 |   2
--------------+-----+------+-----+----
.   o3/2o5/3x   20 |   30 |  12 | 120

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