Fractal Geometry

Fractal geometry is the study of complex shapes with the property of self-similarity, known as fractals. The term fractal was coined in 1975 by the mathematician, Benoit Mandelbrot (b. 1924), to describe shapes which are detailed at all scales. This new system of geometry has had a significant impact on such diverse fields as the stock market, physical chemistry, physiology, and fluid mechanics; fractals can describe irregularly shaped objects or spatially nonuniform phenomena that cannot be described by Euclidean geometry. See video.

The mind map above is an image-centered diagram that represents connections between various topics and concepts related to Fractal Geometry based on a comprehensive educational resource on the mathematical framework and formalism from the Yale University, covering the concept of self similarity, authors: Michael Frame, Benoit Mandelbrot, and Nial Neger. Source: Fractal Geometry, Yale University by Michael Frame, Benoit Mandelbrot, and Nial Neger
 

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Last updated: September 10, 2008.