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Concave Dodecahedron
Vertices:
20 (8[3] + 12[3])
Faces:
12 (mirror-symmetric concave pentagons)
Edges:
30 (equal length)
Symmetry:
Pyritohedral (Th)
Convex Dihedral Angle:
acos(sqrt(5)/5)
≈63.434948823 degrees
Concave Dihedral Angle:
acos(−sqrt(5)/5)
≈243.434948823 degrees
The dual has the same polyhedral graph as the
Icosahedron
(values below based on edge length = 1)
Max Vertex Radius:
(sqrt(3)+sqrt(15))/4
≈1.4012585384440735447
Volume:
(1+sqrt(5))/4
≈0.80901699437494742410
References:
[1]
Concave Dodecahedron