Mandelbrot Set
Benoît Mandelbrot; earlier work by Robert Brooks and Peter Matelski
A simple iteration creates a boundary with extraordinary detail.
Fractals & infinity / 1992
Burning Ship Fractal
A variation of complex iteration produces forms reminiscent of ships and towers.
TRY THIS
Inspect the smaller structures around the main shape; compare them with the rounded bulbs of the Mandelbrot set.
THE IMAGE IN THIS ARCHIVE
Inductiveload
Original file & attribution · Public domain
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What is Burning Ship Fractal?
A variation of complex iteration produces forms reminiscent of ships and towers.
What should I look for in Burning Ship Fractal?
Inspect the smaller structures around the main shape; compare them with the rounded bulbs of the Mandelbrot set.
What explains Burning Ship Fractal?
Before squaring, take the absolute values of the real and imaginary parts: z → (|Re z| + i|Im z|)² + c. Repeated iteration separates bounded and escaping behavior.
Another way to see it
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Julia Set
Gaston Julia and Pierre Fatou
Repeated complex mappings produce intricate connected shapes or dust-like sets.
