Kepler-Poinsot Solids

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(Uniform #34) Small Stellated Dodecahedron
Vertices:  12  (12[5])
Faces:12  (regular pentagrams)
Edges:30
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle:  acos(-sqrt(5)/5)    ≈116.565051177 degrees
Dual Solid:  Great Dodecahedron
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(2*(5-sqrt(5)))/4    ≈0.58778525229247312917
Midscribed Radius:  (sqrt(5)-1)/4    ≈0.30901699437494742410
Inscribed Radius:  sqrt(10*(5-sqrt(5)))/20    ≈0.26286555605956680301