Fibonacci Lattice — Phyllotaxis Sphere

Uniformly distributing N points on a sphere via the golden angle — nature's optimal packing strategy.

Parameters

Distribution Mode

The golden angle φ = 2π(1 − 1/φ) ≈ 137.508°

Each new point rotates by the golden angle around the z-axis while incrementing the polar angle — producing optimal spacing with no periodic bands.

This is how sunflower seeds, pine cones, and leaf buds are arranged. The number of visible spirals are always consecutive Fibonacci numbers.