ART AS A CATALYST: UNLOCKING MATHEMATICAL CREATIVITY WITH JULIA SETS

Abstract

This paper addresses the integration of art and mathematics in education as a means to transcend traditional teaching methods. Historically, both the incorporation of art into mathematics and computer-generated art into the art realm have faced resistance. However, recognizing art's potential for resistance and transformation, this study proposes innovative educational practices at the intersection of art and mathematics.

Section 1.1 provides an overview of the integration of mathematical, artistic, playful, and computational dimensions, focusing on Julia sets, computer-generated art, and education. Section 1.2 outlines essential mathematical definitions for the proposed approach. Additionally, section 1.3 outlines a method for creating graphical representations of Julia sets using the CFDG language.

Section 2 introduces four examples of computer-generated artworks based on Julia sets, serving as foundational templates for the proposed practices. Sections 3 and 4 detail the applied methodology and present empirical findings. Ultimately, section 5 engages in a comprehensive discussion of the obtained results.