3 papers
math.GT2026
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…
math.GT2026
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…
math.GT2025
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…