Abstract / Synopsis
Symmetry is often regarded as an integral aspect about aesthetics. This motivates the pursuit of interdisciplinary studies based on the use of subjects in mathematics concerned with symmetry in conjunction with aesthetics. What is referred to as a symmetric function in the field of algebraic combinatorics is an abstraction based on polynomials that exhibit a symmetric property, and this leads us to pursue an algebraic combinatorics-inspired exploration based on aesthetics. In particular, we use different bases and transitions between them to create aesthetically pleasing visualizations of symmetric functions. We see that these visualizations in turn raise new and interesting questions.
John M. Campbell, "Aesthetic Approaches to Symmetric Functions," Journal of Humanistic Mathematics, Volume 14 Issue 1 (January 2024), pages 94-113. DOI: 10.5642/jhummath.ANDW3696. Available at: https://scholarship.claremont.edu/jhm/vol14/iss1/7