Fun with Whirls

Kerry Mitchell
Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture (2015)
Pages 175–182 Regular Papers


This work examines whirls, figures of nested polygons that approximate pursuit curves, and how they can be used in visual art. A general approach to creating whirls from any base polygon is presented. It is then used to explore an assortment of whirls, including variations in: base polygon, numbers of vertices, and the relative distance between old and new polygons. Methods for rendering whirls are discussed and several finished pieces are shown.