Burning Ship Fractal

Escape-time iteration: z ← (|Re z| + i|Im z|)² + c — breaks Mandelbrot's conjugate symmetry
256
Click to zoom in
Right-click zoom out
Burning Ship
Discovered 1992 by Michael Michelitsch & Otto Rössler. The absolute values |Re z| and |Im z| fold the plane before squaring — the ship-like structure emerges at the bottom of the set. Unlike the Mandelbrot set, it has no left-right symmetry. Zoom into the hull to find miniature ships!