Archimedean Solids

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(Uniform #26) Truncated Dodecahedron
Vertices:  60  (60[3])
Faces:32  (20 equilateral triangles + 12 regular decagons)
Edges:90
Symmetry:  Full Icosahedral  (Ih)
Decagon-Decagon Angle:  acos(−sqrt(5)/5)    ≈116.565051177 degrees
Decagon-Triangle Angle:  acos(−sqrt(15*(5+2*sqrt(5)))/15)    ≈142.622631859 degrees
Dual Solid:  Triakis Icosahedron
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(2*(37+15*sqrt(5)))/4    ≈2.9694490158633984670
Midscribed Radius:  (5+3*sqrt(5))/4    ≈2.9270509831248422723
Decagon Center Radius:  sqrt(2*(25+11*sqrt(5)))/4    ≈2.4898982848827802734
Triangle Center Radius:  (9*sqrt(3)+5*sqrt(15))/12    ≈2.9127811665964150056
Volume:5*(99+47*sqrt(5))/12    ≈85.0396645593708815547