Looking for Lovely Links in Lattices
Anton Bakker and Tom Verhoeff

Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture
Pages 349–352
Short Papers

Abstract

We describe a semi-automated way to find nice links of two or more given 3D paths. These paths are typically generated in a particular lattice and are given a particular cross section. The goal is to find links where the paths are truly linked (entangled) and where they fit snugly together. A special use case is where the paths are all congruent. The search can be controlled by a number of parameters. We also show some links that were found this way.

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