A fractal is a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a smaller copy of the whole. Fractals are generally self-similar (bits look like the whole) and independent of scale (they look similar, no matter how close you zoom in). Many mathematical structures are fractals; e.g. {Sierpinski triangle}, {Koch snowflake}, {Peano curve}, {Mandelbrot set} and {Lorenz attractor}. Fractals also describe many real-world objects that do not have simple geometric shapes, such as clouds, mountains, turbulence, and coastlines. {Benoit Mandelbrot}, the discoverer of the {Mandelbrot set}, coined the term "fractal" in 1975 from the Latin fractus or "to break".
[images via Google Earth Fractals]
[images via Google Earth Fractals]
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