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