Vertices: | 92 (80[3] + 12[5]) |
Faces: | 60 (mirror-symmetric pentagrams) |
Edges: | 150 (60 short + 90 long) |
Symmetry: | Chiral Icosahedral (I) |
Dihedral Angle: | acos(root[209*(x^6)−94*(x^5)−137*(x^4) +100*(x^3)−9*(x^2)−6*x+1]) | ≈60.901133713 degrees |
Dual Solid: | Great Retrosnub Icosidodecahedron |
(values below based on unit-edge-length Great Retrosnub Icosidodecahedron) |
Short Edge (60): | root[31*(x^6)−53*(x^5)−26*(x^4) +34*(x^3)+17*(x^2)−x−1] | ≈1.7267812815094302923 |
Long Edge (90): | root[(x^6)−2*(x^5)−4*(x^4)+(x^3)+4*(x^2)−1] | ≈3.0636827449399370956 |
[5]-Vertex Radius (12): | sqrt(root[3936256*(x^6)−22266880*(x^5) +14680320*(x^4)−2723200*(x^3) +97200*(x^2)+6000*x+125]) | ≈0.35270853905313317949548 |
[3]-Vertex Radius (80): | sqrt(root[4096*(x^6)−33792*(x^5)+85248*(x^4) −79488*(x^3)+34992*(x^2)−7776*x+729]) | ≈1.5597883625015795292 |
Edge-scribed Radius: | sqrt(root[4096*(x^6)−21504*(x^5)+16384*(x^4) −4672*(x^3)+624*(x^2)−40*x+1]) | ≈0.29394173807862325162 |
Inscribed Radius: | sqrt(root[856064*(x^6)−3900416*(x^5) +1443072*(x^4)−149376*(x^3) +6384*(x^2)−128*x+1]) | ≈0.1489681400711333872454 |