Fractals

graphics software generating fractal images

alt=A three-dimensional Mandelbox fractal of scale 2.|thumb|right|A "scale-2" Mandelbox alt=A three-dimensional Mandelbox fractal of scale 3.|thumb|right|A "scale-3" Mandelbox alt=A three-dimensional Mandelbox fractal of scale -1.5.|thumb|right|A "scale -1.5" Mandelbox In mathematics, the mandelbox is a fractal with a boxlike shape found by Tom Lowe in 2010. It is defined in a similar way to the famous Mandelbrot set as the values of a parameter such that the origin does not escape to infinity under iteration of certain geometrical transformations. The mandelbox is defined as a map of continuo

self-similar geometric figure

fractal curve

variation of the Hurst Exponent technique, used in the analysis of fractal time series