Circle Deformation in Hacon’s Sphere Eversion

Year: 2021 Authors: Yongheng Zhang

Core claim

A controlled B-spline-based circle deformation can analytically reproduce Hacon’s outer-cylinder sphere eversion with suitable 2D and 3D visualization.

Topics

sphere eversion, regular homotopy, circle deformation, computer visualization, rapid prototyping

Domains

differential topology, geometric topology, B-splines, immersed curves, mathematical visualization, 3D printing, computer graphics

Methods

two-parameter interpolation, control-point deformation, corrugation-inspired construction, analytical parameterization

Media

Mathematica notebook, computer renderings, 3D prints

Source status

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