The Past and Future of Aesthetics in Mathematics

Abstract

This paper explores the connotations of mathematical aesthetics and its connections with art, facilitated by collaboration with Ester, an individual with an artistic professional background. It begins by tracing the historical evolution of aesthetics from the classical pursuit of authenticity to the modern shift toward self-expression in art. The discussion then highlights the similarities in the pursuit of truth between mathematics and art, despite their methodological differences. Through an analysis of aesthetic elements in mathematics, such as lines and function graphs, the article illustrates that the beauty of mathematics is not only manifested in cognitive processes but can also be intuitively expressed through visual arts. The paper further examines the influence of mathematics on the development of art, particularly how Leonardo da Vinci applied mathematical principles to his artworks. Additionally, the article addresses art students’ perceptions of mathematics, proposes the customization of math courses for art students, and discusses future trends in the integration of mathematics and art, emphasizing the significance of art therapy and the altruistic direction of art. Lastly, the authors use a poster to visually convey the idea that the beauty of mathematics can be experienced through the senses.