Artists

David Richeson

Professor of Mathematics and the John J. & Ann Curley Faculty Chair in the Liberal Arts

Dickinson College

Carlisle, Pennsylvania, USA

richesod@dickinson.edu

http://www.divisbyzero.com

Statement

As an educator, I strive to bring mathematics' beauty, logic, applicability, and wonder to my students and the public. I do this through my teaching, research, writing, and speaking. I have always been interested in using mathematics to create and describe artistic objects, but it was not until the COVID-19 pandemic that I saw that mathematical art could have therapeutic value. I realized this interest was an untapped way to share my love of mathematics with wider audiences and a new way for me to explore mathematics.

Artworks

Image for entry 'The Heart of Mathematics'

The Heart of Mathematics

45.0 x 15.0 x 1.25 cm

Digital print on metal

2024

The heart-shaped cardioid is one of the most beloved curves in mathematics. It appears at the bottom of your coffee cup, in the Mandelbrot set, in string art, in the design of microphones, and in certain drawbridges. Its mathematical properties are fascinating, surprising, deep, and wide reaching. Understanding these properties requires a broad mathematical toolkit—geometry, algebra, analytic geometry, calculus, trigonometry, abstract algebra, complex dynamics, and more. This piece illustrates three ways to produce a cardioid: as an envelope of circles, an epicycloid, and an envelope of lines.