Vertices: | 12 (12[5]) |
Faces: | 20 (equilateral triangles) |
Edges: | 30 (all same length) |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(−sqrt(5)/3) | ≈138.189685104 degrees |
Dual Solid: | Dodecahedron |
(values below based on midscribed radius = 1) |
Edge Length: | sqrt(5)−1 | ≈1.2360679774997896964 |
Circumscribed Radius: | sqrt(2*(5−sqrt(5)))/2 | ≈1.1755705045849462583 |
Midscribed Radius: | 1 |
Inscribed Radius: | (sqrt(3)+sqrt(15))/6 | ≈0.934172358962715696451 |
Volume: | 10*(sqrt(5)−1)/3 | ≈4.1202265916659656547 |
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