MANDELBROT SET

Each pixel is a point c in the complex plane. One question:

z₀ = 0
z_{n+1} = z_n² + c

Does this sequence stay bounded, or escape to ∞?

Black = bounded forever (the set). Colors show how fast the sequence escaped — color is iteration count, not geometry.

No surfaces. No distance search. The boundary finds itself through the equation.


c    
iters 
zoom  
orbit trace (first 40 steps at cursor)
drag · arrows to pan · scroll · +/− to zoom · double-click to dive