Mandelbrot Set
Benoît Mandelbrot; earlier work by Robert Brooks and Peter Matelski
A simple iteration creates a boundary with extraordinary detail.
Fractals & infinity / 1904
Koch Snowflake
A finite area is enclosed by a boundary that grows without limit.
TRY THIS
Find the triangular bump on one edge, then find the same pattern on its smaller edges.
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Walwal20
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Download imageFrequently asked questions
What is Koch Snowflake?
A finite area is enclosed by a boundary that grows without limit.
What should I look for in Koch Snowflake?
Find the triangular bump on one edge, then find the same pattern on its smaller edges.
What explains Koch Snowflake?
Replace the middle third of each straight segment with two sides of an outward equilateral triangle. Repeating the replacement multiplies the perimeter by 4/3 at each stage.
Another way to see it
Explore this category
Julia Set
Gaston Julia and Pierre Fatou
Repeated complex mappings produce intricate connected shapes or dust-like sets.
Mandelbrot Boundary Detail
Benoît Mandelbrot and researchers in complex dynamics
A close view reveals spirals, branching filaments, and smaller structures.