Crocheting Bour's Bm minimal surfaces
Abstract
Minimal surfaces can be though as a mathematical generalisation of surfaces formed by soap films. We consider Bour's minimal surfaces Bm that are intrinsically surfaces of revolution. We show how to generate crochet patterns for Bm surfaces using basic trigonometric identities to calculate required arc lengths. Three special cases of Bm surfaces are considered in more detail, namely Enneper's, Richmond's, and Bour's B3 surfaces, and we provide exact crochet instructions for the classical Enneper's surface.
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