Year: 2026
Type: preprint
Abstract: We prove that every elastic knot in any non-torus twist knot class is not planar. In particular, this disproves a numerically motivated planarity conjecture for elastic figure-eight knots.
Source: arXiv (Cornell University)
Author: Miura, Tatsuya
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223676583