DOI: 10.1098/rsfs.2025.0080 ISSN: 2042-8898
High symmetry embeddings of rectilinear tangles
Michael O'Keeffe, Michael M. J. TreacyAbstract
Finite tangles are embeddings of graphs that include knots or links as subcomponents. We describe vertex-transitive tangles with 12 or fewer crossings, as well as tangles with just two crossings that feature the Hopf link. Additionally, we consider tangles formed by adding edges to a ravel.
This article is part of the theme issue ‘Geometry, materials and the imagination’.