Hover over Mandelbrot to see its companion Julia set in real time
The Mandelbrot set (left) is the set of c values for which zₙ₊₁ = zₙ² + c stays bounded from z₀=0. Each point c gives a different Julia set (right) — the filled Julia set for that c. Points inside the Mandelbrot set yield connected Julia sets; outside yield Cantor dust.