4 papers
The untangling number as a measurement of entanglement complexity in 3-periodic networks
Toky Andriamanalina, Sonia Mahmoudi, Myfanwy E. Evans
Periodic networks serve as models for the structural organisation of biological and chemical crystalline systems. Single or multiple networks can have different configurations in s…
The untangling number of 3-periodic tangles
Toky Andriamanalina, Sonia Mahmoudi, Myfanwy E. Evans
The entanglement of curves within a 3-periodic box provides a model for complicated space-filling entangled structures occurring in biological, chemical and physical systems. Quant…
Entanglement by design: Symmetry-guided periodic helical assemblies
Myfanwy E. Evans
In this paper, a selection of elegant, highly symmetric examples of three-periodic tangled nets and filaments are presented. They are constructed via familiar crystal nets using ed…
Diagrammatic representations of 3-periodic entanglements
Toky Andriamanalina, Myfanwy E. Evans, Sonia Mahmoudi
Diagrams enable the use of various algebraic and geometric tools for analysing and classifying knots. In this paper we introduce a new diagrammatic representation of triply periodi…