Other Solids

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Hugel's Polyhedron
Vertices:  20  (20[6])
Faces:20  (ditrigons)
Edges:60  (30 short + 30 long)
Symmetry:  Full Icosahedral  (Ih)
Convex Dihedral Angle:  acos(sqrt(5)/3)    ≈41.810314896 degrees
Concave Dihedral Angle:  acos(−sqrt(5)/3)    ≈221.810314896 degrees
Dual Solid:  Hugel's Polyhedron (itself)
(values below based on short edge length = 1)
Short Edge (30):  1
Long Edge (30):  (3+sqrt(5))/2    ≈2.6180339887498948482
Circumscribed Radius:  (sqrt(3)+sqrt(15))/4    ≈1.4012585384440735447
Inscribed Radius:  (sqrt(3)+sqrt(15))/12    ≈0.46708617948135784823


References:[1]Theodor Hugel, Die regulären und halbregulären Polyeder,
Gottschick-Witter, Neustadt an der Haardt, (1876).