Reference work entry
Koch snowflake; Space-Filling Curves
A fractal is “a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced-size copy of the whole” [ 1]. This term is introduced by French mathematician Benoit Mandelbrot (born 1924) in 1975 and was derived from the Latin fractus meaning “broken” or “fractured”. A simple fractal example is Koch snowflake. The method of creating this shape is to recursively replace each line segment with 4 line segments in a finer scale as shown in Fig. 1.
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