| Vertices: | 60 (60[5]) |
| Faces: | 92 (80 equilateral triangles + 12 regular pentagrams) |
| Edges: | 150 |
| Symmetry: | Chiral Icosahedral (I) |
| Triangle-Triangle Angle: | acos(root[729*(x^6)−486*(x^5)−729*(x^4)
+756*(x^3)+63*(x^2)−270*x+1]) | ≈21.724655212 degrees |
| Pentagram-Triangle Angle: | acos(sqrt(root[91125*(x^6)−668250*(x^5)
+2006775*(x^4)−2735100*(x^3)
+1768275*(x^2)−502410*x+43681])) | ≈67.310294880 degrees |
| Dual Solid: | Great Pentagrammic Hexecontahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(root[4096*(x^6)−27648*(x^5)
+47104*(x^4)−35776*(x^3)
+13872*(x^2)−2696*x+209]) | ≈0.5800015046400155283496 |
| Midscribed Radius: | sqrt(root[4096*(x^6)−21504*(x^5)
+16384*(x^4)−4672*(x^3)
+624*(x^2)−40*x+1]) | ≈0.29394173807862325162 |
| Triangle Center Radius: | sqrt(root[2985984*(x^6)−14183424*(x^5)
+5723136*(x^4)−478656*(x^3)
+12528*(x^2)−360*x+1]) | ≈0.055393249149590612622 |
| Pentagram Center Radius: | sqrt(root[512000*(x^6)−1920000*(x^5)
−460800*(x^4)+424000*(x^3)
+53040*(x^2)−20600*x+961]) | ≈0.24496641225821331791 |