Mathematical Structures and Artistic Patterns: An Interdisciplinary Study of Form and Function

Abstract

This paper presents structured research that explores the intersection of mathematics and art through the shared language of patterns, structures, and forms. By analyzing how mathematical principles such as symmetry, proportion, geometry, and topology influence artistic creation and vice versa, this work provides a framework that is useful to both mathematicians and artists. The study highlights key instances where mathematical models have inspired artistic innovation and where artistic intuition has informed mathematical inquiry. This interdisciplinary study aims to foster a deeper understanding of how mathematical reasoning and artistic expression coalesce in visual culture and conceptual design.