Vertices: | 92 (80[3] + 12[5]) |
Faces: | 60 (irregular pentagons) |
Edges: | 150 (30 short + 60 medium + 60 long) |
Symmetry: | Chiral Icosahedral (I) |
Short Edge Angle: | acos(root[8th-order polynomial]) | ≈142.776003308 degrees |
Medium Edge Angle: | acos(root[8th-order polynomial]) | ≈147.727648244 degrees |
Long Edge Angle: | acos(root[8th-order polynomial]) | ≈158.254363946 degrees |
Dual Solid: | Biscribed Snub Dodecahedron (laevo) |
(values below based on circumscribed radius = 1) |
Short Edge (30): | sqrt(root[8th-order polynomial]) | ≈0.070791975091705295711 |
Medium Edge (60): | sqrt(root[8th-order polynomial]) | ≈0.33407713163118844539 |
Long Edge (60): | sqrt(root[8th-order polynomial]) | ≈0.52874450465320007252 |
Circumscribed Radius: | 1 |
Inscribed Radius: | sqrt(root[8th-order polynomial]) | ≈0.94710773342632532217 |
Volume: | sqrt(root[8th-order polynomial]) | ≈3.7698820661878000842 |