Enumeration of hex knots (in support of the Hex-Flex Conjecture)

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Authors: Frank J. Swenton
Cited by: 0

Abstract

This enumeration of knots is sorted by volume, split to around 5 million knots per file for processing. The small number of non-hyperbolic knots (hex-nonhyp.kl) were distinguished by knot polynomials, and groups of knots with the same volume were distinguished via SnapPea isometry checking. All computations were performed within a custom module of KLO (https://klo-software.net), which will be made public in an upcoming release of the software.

Fields of Study & Subjects

Geometric and Algebraic Topology Advanced Combinatorial Mathematics Computer Graphics and Visualization Techniques

Publication details

Journal / source
Middlebury
Publication date
1 January 2026
Document type
Dataset