Geodesic subdivisions, UV grids, and icospheres — drag to rotate, explore different tilings.
Interactive 3D Sphere (drag to rotate)
Tessellation Type
Icosahedron: 20 faces, 12 verts, 30 edges
Euler: V−E+F=2 (for sphere χ=2)
Geodesic freq n: F=20n², V=10n²+2
Faces: —
Vertices: —
Edges: —
Euler χ = V−E+F: —
Avg face area: —
Geodesic domes (Buckminster Fuller) subdivide the icosahedron. Each subdivision n quadruples the face count. UV grids suffer from pole singularities. Cube spheres have uniform area distribution.