2020 Joint Mathematics Meetings
Andrew Harper
Artists
Statement
Andrew is a kid who likes science, math, history, music, art, coding and poetry. His piece “Lima-Limoid” was shown in the 2019 JMM art gallery. It involved a cardiod as well as non-degenerate limaçons (polar curves of the form r = a + b cos θ) and also lenses (intersections of two disks). This year, he has explored some modifications of this image, while attempting to maintain aesthetic appeal.
Artworks
To obtain this image, Andrew made use of the “Conformal Maps” portion of the iPad app iOrnament Crafter (by Jürgen Richter-Gebert) to manipulate “Lima-Limoid”. A conformal map is a transformation which preserves local angles. The particular one used here appears to involve a composition of trigonometric functions to distort copies of the original image into a repeating pattern, while still retaining some hint of the original work.