Multicolor Symmetrical Fractal Pattern Generator

Abstract

Abstract A fractal is a geometric figure that combines the several characteristics among others: its parts have the same form as the whole, fragmented, and formation by iteration. The concept of fractals has been spread over all fields of sciences, technology, and art. The properties of fractal sets are necessary to be investigated and favorable for the practical applications. This paper aims to provide an algorithm for creating multicolor symmetrical fractal pattern generator. Generator algorithm consists of base, iteration, coloration, and duplication. To help the reader better understand the algorithm, we will present some script using Matlab. We describe a mathematically based algorithm that can fill a spatial region with a sequence of randomly placed which may be transformed copies of one motif or several motifs. This flexible algorithm can be used to produce a variety of aesthetically pleasing fractal patterns, of which we show some examples. We hope that the existence of fractals can show that mathematics is not a dry and flat subject, but it is a beautiful subject and can produce works that have a high degree of art and intellectual value.