Mandelbrot Set
Benoît Mandelbrot; earlier work by Robert Brooks and Peter Matelski
A simple iteration creates a boundary with extraordinary detail.
Fractals & infinity / 1916
Sierpiński Carpet
A square becomes an endlessly nested lattice of holes.
TRY THIS
Locate the largest central hole, then the smaller central holes around it.
THE IMAGE IN THIS ARCHIVE
Johannes Rössel
Original file & attribution · Public domain
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Download imageFrequently asked questions
What is Sierpiński Carpet?
A square becomes an endlessly nested lattice of holes.
What should I look for in Sierpiński Carpet?
Locate the largest central hole, then the smaller central holes around it.
What explains Sierpiński Carpet?
Split a square into a three-by-three grid, remove the center, and repeat in each of the eight surviving squares. A finite image stops after a limited number of stages.
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.
