fractal dimensionality

fractal dimensionality

[′frak·təl di‚men·shə′nal·əd·ē]
(mathematics)
A number D associated with a fractal which satisfies the equation N = b D , where b is the factor by which the length scale changes under a magnification in each step of a recursive procedure defining the object, and N is the factor by which the number of basic units increases in each such step. Also known as Mandelbrot dimensionality.
References in periodicals archive ?
Chaos theory, specifically fractal dimensionality, explains many complex processes in nature with reference to self-similarity, which could also be called irregular regularity.
Benoit Mandelbrot, moving away from classical geometry, suggested that fractal dimensionality provides answers to these questions.