An Interactive Application for Modeling Two-Dimensional IFS Fractals

Abstract

The paper presents a novel interactive application created in the C# programming language under the Microsoft Visual Studio environment, called Fractal Engine. The application enables generating and interactive modeling of two dimensional IFS fractals in real time, modifying different parameters in the IFS code, making animations by gradually changing one or more coefficients in the IFS code, coloring fractals, saving files in different image formats for later post-processing or creating more complex images. The modeling is enabled by assigning barycentric coordinates of the points that form the fractal image, with respect to three non-collinear points defined by the user. The application allows finding vertexes of a kind of triangle with minimal area that contains the fractal, which has particular advantages in modeling.