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 |