🌐 Geodesic Domes

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Geodesic Geometry
Base solid:Icosahedron
Frequency:3v
Vertices:
Faces:
Edges:
V − E + F:2
Drag to rotate
Scroll to zoom
V
F
E
Formula:

🔺 Geodesic Domes — Buckminster Fuller

Build geodesic domes by subdividing Platonic solids onto a sphere. Explore frequencies from 1v to 5v, toggle between icosahedron, octahedron and tetrahedron bases, and see the mathematics of spherical tessellation in 3D.

🔬 What It Demonstrates

A geodesic dome subdivides a polyhedron face into smaller triangles projected onto a sphere. Higher frequencies (2v, 3v, 4v, 5v) produce more triangles and a rounder approximation. The formula F = f₀ × n² gives the face count.

🎮 How to Use

Select a base polyhedron and subdivision frequency. Toggle wireframe/solid/both rendering. Switch between full sphere and dome (half-sphere) modes. The stats panel shows face, vertex and edge counts.

💡 Did You Know?

Buckminster Fuller patented the geodesic dome in 1954. The fullerene molecule (C60) — also called a 'buckyball' — has the same geometry as a frequency-1 truncated icosahedron.