| Vertices: | 120 (120[3]) |
| Faces: | 62 (30 squares + 20 regular hexagons + 12 regular decagons) |
| Edges: | 180 |
| Symmetry: | Full Icosahedral (Ih) |
| Decagon-Hexagon Angle: | acos(−sqrt(15*(5+2*sqrt(5)))/15) | ≈142.622631859 degrees |
| Decagon-Square Angle: | acos(−sqrt(10*(5+sqrt(5)))/10) | ≈148.282525589 degrees |
| Hexagon-Square Angle: | acos(−(sqrt(3)+sqrt(15))/6) | ≈159.094842552 degrees |
| Dual Solid: | Disdyakis Triacontahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(31+12*sqrt(5))/2 | ≈3.8023944998512935848 |
| Midscribed Radius: | sqrt(6*(5+2*sqrt(5)))/2 | ≈3.7693771279217166027 |
| Decagon Center Radius: | sqrt(5*(5+2*sqrt(5)))/2 | ≈3.44095480117793384552 |
| Hexagon Center Radius: | (2*sqrt(3)+sqrt(15))/2 | ≈3.6685424806725857361 |
| Square Center Radius: | (3+2*sqrt(5))/2 | ≈3.7360679774997896964 |
| Volume: | 95+50*sqrt(5) | ≈206.80339887498948482 |