Circle Deformation in Hacon’s Sphere Eversion
Yongheng Zhang

Proceedings of Bridges 2021: Mathematics, Art, Music, Architecture, Culture
Pages 265–268
Short Papers

Abstract

This note records an approach to understand Derek Hacon’s sphere eversion. In particular, Hacon’s description and drawing of a regular homotopy of the outer cylinder was translated into an analytical expression, which is generated by deforming a circle along the temporal and a spatial dimension. The circle deformation is controlled by a two-parameter motion of finitely many points. This model was used in computer visualization and rapid prototyping.

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