An Algorithm for Constructing Equations of Geometry Fractals Based on Theories of R-functions

This article discusses the construction of fractal equations, the classical set of Cantor and consisting of spirals based on theories of R-functions (RFM), using recursion procedures. According to the constructed equations, various prefractals can be generated depending on the number of iterations. All results are shown as a raster chart.

I. Introduction

Fractal geometry arose in the 19th century. Using a simple repeating procedure, Cantor turned the line into a set of unconnected points, and the so-called Cantor dust was obtained [2, 3].