Mandelbrot Set
Benoît Mandelbrot; earlier work by Robert Brooks and Peter Matelski
A simple iteration creates a boundary with extraordinary detail.
Fractals & infinity / 1915
Sierpiński Triangle
Triangles repeat inside triangles at every scale.
TRY THIS
Count the three large copies, then find three smaller copies inside one of them.
THE IMAGE IN THIS ARCHIVE
Marco Polo (original); Perhelion (current SVG revision)
Original file & attribution · CC BY-SA 3.0
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Download imageFrequently asked questions
What is Sierpiński Triangle?
Triangles repeat inside triangles at every scale.
What should I look for in Sierpiński Triangle?
Count the three large copies, then find three smaller copies inside one of them.
What explains Sierpiński Triangle?
Start with a filled triangle. Divide it into four equal triangles and remove the middle one; repeat in each remaining triangle. Three half-size copies reproduce the full set.
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.
