Doubly periodic weaves—entangled structures with repeating patterns in two independent directions—pose a mathematical challenge. Originally conceived to model real-world structures, such as woven textiles and molecular weaving of polymers, mathematicians have generalized the theory to include weaves with any number of distinct directions, extending beyond practical weaving to a broader topological framework. Doubly periodic weaves—entangled structures with repeating patterns in two independent directions—pose a mathematical challenge. Originally conceived to model real-world structures, such as woven textiles and molecular weaving of polymers, mathematicians have generalized the theory to include weaves with any number of distinct directions, extending beyond practical weaving to a broader topological framework. Mathematics Phys.org – latest science and technology news stories
Mathematicians introduce crossing matrices to decode doubly periodic weaves
