Mandelbrot Set
Benoît Mandelbrot; earlier work by Robert Brooks and Peter Matelski
A simple iteration creates a boundary with extraordinary detail.
Fractals & infinity / Computer-era fractal geometry
Mandelbrot Boundary Detail
A close view reveals spirals, branching filaments, and smaller structures.
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Compare the fine structures with the full Mandelbrot set. A downloaded image contains only the resolution and magnification recorded in that file.
THE IMAGE IN THIS ARCHIVE
Created by Wolfgang Beyer with the program Ultra Fractal 3.
Original file & attribution · CC BY-SA 3.0
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What is Mandelbrot Boundary Detail?
A close view reveals spirals, branching filaments, and smaller structures.
What should I look for in Mandelbrot Boundary Detail?
Compare the fine structures with the full Mandelbrot set. A downloaded image contains only the resolution and magnification recorded in that file.
What explains Mandelbrot Boundary Detail?
The same iteration is tested for nearby complex parameters at a finer scale. Similar structures recur, but the entire boundary is not a simple collection of exact scaled copies.
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.
