Vertices: | 72 (60[4] + 12[5]) |
Faces: | 80 (20 equilateral triangles + 60 irregular tetragons) |
Edges: | 150 (30 short + 60 medium + 60 long) |
Symmetry: | Chiral Icosahedral (I) |
Short Edge Angle: | acos(root[10th-order polynomial]) | ≈143.432135248 degrees |
Medium Edge Angle: | acos(root[10th-order polynomial]) | ≈158.4988225546 degrees |
Long Edge Angle: | acos(root[10th-order polynomial]) | ≈161.001993664 degrees |
Dual Solid: | Biscribed Propello Dodecahedron |
(values below based on circumscribed radius = 1) |
Short Edge (30): | sqrt(root[10th-order polynomial]) | ≈0.10073991244283247654 |
Medium Edge (60): | sqrt(root[10th-order polynomial]) | ≈0.52265784955085316296 |
Long Edge (60): | sqrt(root[10th-order polynomial]) | ≈0.54966774118891216224 |
Circumscribed Radius: | 1 |
Inscribed Radius: | sqrt(root[10th-order polynomial]) | ≈0.94830820838942425133 |
Volume: | sqrt(root[10th-order polynomial]) | ≈3.7383576176955890478 |