TL;DR
This paper introduces a potentially novel method for sphere eversion using the contractibility of a specific subset of circle immersions, contributing to the mathematical understanding of surface transformations.
Contribution
It proposes a new sphere eversion technique based on the contractibility of a subset of circle immersions, expanding the theoretical framework of surface eversion.
Findings
Demonstrates the contractibility of a subset of circle immersions
Proposes a new sphere eversion method
Provides a theoretical foundation for the eversion technique
Abstract
We present a (possibly) new sphere eversion based on the contractibility* of a certain subset of the space of immersions of the circle in the plane. (*: by strong deformation retraction)
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · Elasticity and Material Modeling · Cellular Mechanics and Interactions