Orange Peel Optimization
David Swart

Proceedings of Bridges 2021: Mathematics, Art, Music, Architecture, Culture
Pages 241–248
Regular Papers

Abstract

The woodcut prints Frog and Crow have the special property that one could cut each figure out and, after tucking in some feathers or legs, roll them up into a paper-craft globe. These designs came about by mathematically peeling spherical imagery like an orange and seeing which animals the resulting shapes looked like. This paper describes how to reverse this design process. We describe a method to start with the desired 2D shape and determine how to unpeel an orange to match it. We then explore some creative possibilities of this new method, making new woodcut designs and even creating a font.

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