Visual Arts, Design, and Differential Equations
Journal of Mathematics and the Arts
This is the third paper in a series to connect ideas from differential equations to relevant and interesting material from the arts and humanities. Here, we discuss connections between differential equations and the creation, understanding, or analysis of works in visual arts or design. We discuss the topics of radioactive decay, the envelope of a one-parameter family of differential equations, the differential equation derivation of the cycloid and the catenary, and Whewell equations. We examine applications to painting, architecture, string art, banknote engraving, jewellery design, lighting design, and algorithmic art.
Koss, Lorelei. "Visual Arts, Design, and Differential Equations." Journal of Mathematics and the Arts 11, no. 3 (2017): 129-158. (Article published online September 14, 2017). https://www.tandfonline.com/doi/full/10.1080/17513472.2017.1373326