Continuum Percolation — Boolean Model

Disks of radius r dropped uniformly at random. Near the critical density ρ_c ≈ 1.128/πr², a giant connected cluster suddenly spans the domain. Watch clusters merge as you increase r.

Controls

Disk radius r: 15.0 Disk count N: 200

Checking...

Statistics

Density ρr²: -

Critical ρr² ≈ 1.128/π ≈ 0.359

Largest cluster: - disks

Num clusters: -

Spanning: -

Color Key

■ Spanning cluster

■ Large clusters

■ Small clusters

■ Isolated disks