Vertices: | 24 (12[5] + 12[10]) |
Faces: | 60 (isosceles triangles) |
Edges: | 90 (60 short + 30 long) |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(−(24+5*sqrt(5))/41) | ≈149.099125827 degrees |
Dual Solid: | Truncated Great Dodecahedron |
(values below based on unit-edge-length Truncated Great Dodecahedron) |
Short Edge (60): | 5*(sqrt(5)−1)/2 | ≈3.0901699437494742410 |
Long Edge (30): | (5+3*sqrt(5))/2 | ≈5.8541019662496845446 |
[5]-Vertex Radius (12): | 5*sqrt(5−2*sqrt(5))/2 | ≈1.8163563200134022147 |
[10]-Vertex Radius (12): | sqrt(5*(5+2*sqrt(5)))/2 | ≈3.44095480117793384552 |
Edge-scribed Radius: | (5+sqrt(5))/4 | ≈1.8090169943749474241 |
Inscribed Radius: | 5*sqrt(41*(11+4*sqrt(5)))/82 | ≈1.7436414058326379706 |
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