Geometric Modeling and Calculating Measure of Fractal Structures by the Method of Arithmetic Characteristic Binomial Polynomials

This article is devoted to geometric modeling and calculating measure of fractal structures by the method of arithmetic characteristic binomial polynomials. The methods and algorithms for visualizing fractal images have been developed, using the methods of arithmetic characteristic binomial polynomials, and considering the theory of algebraic structures and cardinal numbers based on Pascal’s triangle. Fractal measure of the formed Pascal’s Triangle is determined by using Mod p. Also, the developed method and algorithm allow visualization of fractal structures based on Pascal’s triangle.