7 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…
Textiles: from twisted yarn to topology and mechanics
Elizabeth J. Dresselhaus, Sonia Mahmoudi, Lauren Niu +3
While textiles have existed throughout much of human history as complex mechanical metamaterials, textile science has largely been overlooked by the physics community until recentl…
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…
An Orbifold Framework for Classifying Layer Groups with an Application to Knitted Fabrics
Sonia Mahmoudi, Elizabeth J. Dresselhaus, Michael S. Dimitriyev
Entangled structures such as textiles and architected materials are often doubly periodic. Due to this property and their finite transverse thickness, the symmetries of these mater…
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…
Topological Defect Propagation to Classify Knitted Fabrics
Daisuke S. Shimamoto, Keiko Shimamoto, Sonia Mahmoudi +1
Knits and crochets are mechanical metamaterials with a long history and can typically be produced from a single yarn. Despite the simplicity of the manufacturing process, they exhi…