Exact Computation for Existence of a Knot Counterexample
General Topology
2017-11-29 v1
Abstract
Previously, numerical evidence was presented of a self-intersecting Bezier curve having the unknot for its control polygon. This numerical demonstration resolved open questions in scientific visualization, but did not provide a formal proof of self-intersection. An example with a formal existence proof is given, even while the exact self-intersection point remains undetermined.
Cite
@article{arxiv.1711.10276,
title = {Exact Computation for Existence of a Knot Counterexample},
author = {T. J. Peters and K. Marinelli},
journal= {arXiv preprint arXiv:1711.10276},
year = {2017}
}
Comments
16 pages, 3 figures, data tables in appendix