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arXiv · 1711.10276

Exact Computation for Existence of a Knot Counterexample

T. J. Peters·K. Marinelli
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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.

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T. J. Peters, K. Marinelli. 2017-11-28. Exact Computation for Existence of a Knot Counterexample. https://arxiv.org/abs/1711.10276

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