# A new algorithm that generates the image of the attractor of a generalized iterated function system

## TL;DR

This paper introduces a novel grid algorithm for generating attractor images of generalized iterated function systems, offering a new computational approach and comparison with existing deterministic methods.

## Contribution

The paper presents a new grid algorithm for attractor generation and compares its performance with existing deterministic algorithms.

## Key findings

- The grid algorithm effectively generates attractor images.
- Comparison shows advantages over deterministic algorithms.
- Provides insights into algorithm efficiency and accuracy.

## Abstract

We provide a new algorithm (called the grid algorithm) designed to generate the image of the attractor of a generalized iterated function system on a finite dimensional space and we compare it with the deterministic algorithm regarding generalized iterated function systems presented by P. Jaros, L. Maslanka and F. Strobin in [Algorithms generating images of attractors of generalized iterated function systems, Numer. Algorithms, 73 (2016), 477-499].