Acronym gissid
TOCID symbol E*
Name great stellated dodecahedron
 
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Circumradius (sqrt(5)-1) sqrt(3)/4 = 0.535233
Inradius sqrt[(25-11 sqrt(5))/40] = 0.100406
Vertex figure [(5/2)3]
General of army doe
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Dual gike
Dihedral angles
  • between {5/2} and {5/2}:   arccos(1/sqrt(5)) = 63.434949°
Confer
Grünbaumian relatives:
2gissid   3gissid   6gissid  
general polytopal classes:
regular   noble polytopes  
External
links
hedrondude   wikipedia   WikiChoron   mathworld

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


Incidence matrix according to Dynkin symbol

x5/2o3o

.   . . | 20 |  3 |  3
--------+----+----+---
x   . . |  2 | 30 |  2
--------+----+----+---
x5/2o . |  5 |  5 | 12

snubbed forms: β5/2o3o

x5/3o3o

.   . . | 20 |  3 |  3
--------+----+----+---
x   . . |  2 | 30 |  2
--------+----+----+---
x5/3o . |  5 |  5 | 12

o3/2o5/2x

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

o3/2o5/3x

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

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