Other Solids

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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