Weaving is an orderly entanglement; it has long been a way to deal with complexity and unorganized components and aims to introduce geometric characteristics and physical properties such as structural efficiency and elegance into a fabric of entwined strands. Weaving embeds a fundamental construction principle of transformational properties through which a 2D woven mesh can become a 3D network. The traditional basket-making strategy provides a clear set of rules for achieving a broad range of complex doubly curved morphologies (including free-form and high genus topology) while only using straight edge strips of material in fabrication.

The versatility of weaving patterns and form-related components relating to three-dimensional geometry of shape and complex surfaces means that these techniques can be pushed beyond conventional craft-based limits towards novel applications across disciplines [1][2].