Versi-Regular Polyhedra

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(Uniform #70) Great Dodecahemidodecahedron
Vertices:  30  (30[4])
Faces:18  (12 regular pentagrams + 6 regular decagrams)
Edges:60
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle:  acos(sqrt(5)/5)    ≈63.434948823 degrees
Dual Solid:  Great Dodecahemidodecacron
(values below based on edge length = 1)
Circumscribed Radius:  (sqrt(5)−1)/2    ≈0.61803398874989484820
Midscribed Radius:  sqrt(5−2*sqrt(5))/2    ≈0.363271264002680442948
Decagram Center Radius:  0
Pentagram Center Radius:  sqrt(5*(5−2*sqrt(5)))/5    ≈0.32491969623290632616


References:[1]Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172.