2 citations · 4 across the 5 of their papers we have counts for
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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…
On the isotopies of tangles in periodic 3-manifolds using finite covers
Yuka Kotorii, Sonia Mahmoudi, Elisabetta A. Matsumoto +1
A periodic tangle is a one-dimensional submanifold in that has translational symmetry in one, two or three transverse directions. A periodic tangle can be seen as th…
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…
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…