A Multidimensional Artistic Approach to Enhance Understanding of Julia Sets through Computer Programming

TL;DR

This paper introduces a multidimensional artistic approach combining mathematical, playful, artistic, and computational aspects to deepen understanding of Julia Sets through computer programming and artistic creation.

Contribution

It presents a novel multidimensional framework integrating art and mathematics to enhance comprehension of Julia Sets, supported by artistic examples and student projects.

Findings

Four artistic creations based on Julia Sets demonstrate the approach.

Student artistic productions show increased engagement and understanding.

The approach bridges traditional academic and artistic communities.

Abstract

This article proposes an artistic approach to increase and enrich the understanding of Julia Sets. This approach includes the mathematical, the playful, the artistic and the computational dimensions. It is argued that these four dimensions are not disjointed or dissociated despite general rejection by traditional academic communities and art critics communities. Also, some significant collections of Computational Art or Computer-Generated Mathematical Art are mentioned. Four artistic creations based on Julia Sets are presented as examples using the CFDG language. Finally, an informal application of the approach was carried out and artistic production of students are presented and discussed.