Crocheting Bour's $\mathcal{B}_m$ minimal surfaces
History and Overview
2023-10-04 v2 Differential Geometry
Abstract
Minimal surfaces can be though as a mathematical generalisation of surfaces formed by soap films. We consider Bour's minimal surfaces that are intrinsically surfaces of revolution. We show how to generate crochet patterns for surfaces using basic trigonometric identities to calculate required arc lengths. Three special cases of surfaces are considered in more detail, namely Enneper's, Richmond's, and Bour's surfaces, and we provide exact crochet instructions for the classical Enneper's surface.
Cite
@article{arxiv.2306.15378,
title = {Crocheting Bour's $\mathcal{B}_m$ minimal surfaces},
author = {Hanne Kekkonen},
journal= {arXiv preprint arXiv:2306.15378},
year = {2023}
}