Acronym  gissid 
TOCID symbol  E* 
Name  great stellated dodecahedron 
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Circumradius  (sqrt(5)1) sqrt(3)/4 = 0.535233 
Inradius  sqrt[(2511 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 

Confer 

External links 
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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