Bridges 2011 Regular Paper

Rigge Envelopes as Art Inspiration
John Sharp
(Proceedings pages 171–178)


Many artists using mathematical curves to generate lines in their work use Lissajous figures or cycloids. The mathematician William Rigge introduced a new technique in a paper in the American Mathematical Monthly in 1920 which he called envelope rosettes. In this paper, I look at what he was doing and develop some art which takes his ideas in other directions.