Sphere Sampling Visualiser

Compare uniform random and Fibonacci lattice point distributions on the unit sphere. Each point is coloured by its nearest-neighbour distance: blue = clustered, red = isolated (in a void). For a perfectly uniform distribution all points would be the same colour.

Nearest-neighbour distance (low → high)

Random Sampling

arccos(2u − 1) transformation · correct marginal distribution · Poisson voids

Fibonacci Lattice

Golden angle φi = 2πi/φgr · deterministic · near-optimal coverage

Coverage Uniformity Metrics

Lower is better for all metrics. A perfect lattice would give ratio = 1 and CV = 0%.

Random · Max/Min NN ratio
Fibonacci · Max/Min NN ratio
Random · Coeff. of Variation
Fibonacci · Coeff. of Variation
Random · Points in voids (>1.5× mean)
Fibonacci · Points in voids (>1.5× mean)