Vertices: | 32 (20[3] + 12[10]) |
Faces: | 60 (isosceles triangles) |
Edges: | 90 (60 short + 30 long) |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(3*(5*sqrt(5)−8)/61) | ≈81.0014100248 degrees |
Dual Solid: | Great Stellated Truncated Dodecahedron |
(values below based on unit-edge-length Great Stellated Truncated Dodecahedron) |
Short Edge (60): | 5*(7−sqrt(5))/22 | ≈1.0827118232955023417 |
Long Edge (30): | (5−sqrt(5))/2 | ≈1.3819660112501051518 |
[3]-Vertex Radius (20): | 5*(2*sqrt(15)−3*sqrt(3))/22 | ≈0.57950324311550042949 |
[10]-Vertex Radius (12): | sqrt(5*(5−2*sqrt(5)))/2 | ≈0.81229924058226581539 |
Edge-scribed Radius: | (3*sqrt(5)−5)/4 | ≈0.42705098312484227231 |
Inscribed Radius: | 5*sqrt(61*(41−18*sqrt(5)))/122 | ≈0.27735142326675154997 |
|