Vertices: | 180 ({60 * 3}[3]) |
Faces: | 92 (12 regular pentagons + 20 regular hexagons + 60 mirror-symmetric hexagons) |
Edges: | 270 (60 short + 60 medium + 150 long) |
Symmetry: | Full Icosahedral (Ih) |
Dual Solid: | Geodesic Icosahedron Pattern 4 [3,0] |
(values below based on edge-scribed radius = 1) |
Short Edge (60): | (21+sqrt(5))/109 | ≈0.21317493557339256602 |
Medium Edge (60): | sqrt(12*(141−40*sqrt(5))/11881) | ≈0.22819657799562523398 |
Long Edge (150): | (20*sqrt(15)−21−16*sqrt(3)−sqrt(5))/109 | ≈0.24321822041785790193 |
Edge-scribed Radius: | 1 |
Volume: | 2*(814295+4295300*sqrt(3) +542439*sqrt(5) −1762860*sqrt(15))/1295029 | ≈4.0761649193993341181 |