Vertices: | 44 (20[3] + 12[5] + 12[10]) |
Faces: | 60 (darts) |
Edges: | 120 (60 short + 60 long) |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(−(19+8*sqrt(5))/41) | ≈154.121363126 degrees |
Dual Solid: | Small Dodecicosidodecahedron |
(values below based on unit-edge-length Small Dodecicosidodecahedron) |
Short Edge (60): | 2*sqrt(65+19*sqrt(5))/11 | ≈1.8850020634620181380 |
Long Edge (60): | 2*sqrt(2*(5+2*sqrt(5)))/3 | ≈2.9016678659770953481 |
Dart Length: | sqrt(10*(157+31*sqrt(5)))/33 | ≈1.44160311266941938547 |
Dart Width: | sqrt(5)−1 | ≈3.2360679774997896964 |
[3]-Vertex Radius (20): | (5*sqrt(3)+4*sqrt(15))/11 | ≈2.1956534020612776371 |
[5]-Vertex Radius (12): | sqrt(5*(5+2*sqrt(5)))/3 | ≈2.2939698674519558970 |
[10]-Vertex Radius (12): | sqrt(5+2*sqrt(5)) | ≈3.0776835371752534026 |
Edge-scribed Radius: | sqrt(2*(5+2*sqrt(5)))/2 | ≈2.1762508994828215111 |
Inscribed Radius: | sqrt(205*(19+8*sqrt(5)))/41 | ≈2.12099101951843341751 |