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A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension.

— Benoît Mandelbrot The Fractal Geometry of Nature (1982)

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More quotes by Benoît Mandelbrot

If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.

Unfortunately, the world has not been designed for the convenience of mathematicians.

The (Mis)Behavior of Markets (2004)

Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.

The Fractal Geometry of Nature (1982)

Engineering is too important to wait for science.

Contrary to popular opinion, mathematics is about simplifying life, not complicating it.

The (Mis)Behavior of Markets (2004)

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Quote text and notes from Wikiquote: Benoît Mandelbrot (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.