High symmetry embeddings of rectilinear tangles
Abstract
Abstract 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’.
Fields of Study & Subjects
Geometric and Algebraic Topology
Advanced Combinatorial Mathematics
Finite Group Theory Research
Publication details
- Journal / source
- Interface Focus
- Publisher
- The Royal Society
- Volume
- 16
- Issue
- 2
- Publication date
- 14 August 2026
- Language
- EN