Crystallographic Descriptions of Regular 2-Periodic Weavings of Threads, Loops and Nets

We present piecewise linear descriptions of weavings of threads, loops, and 2-periodic nets. We provide crystallographic data for regular structures, defined as those with one kind (symmetry-related) of vertex (corner) and edge (stick). These include infinite families of biaxial thread weaves, interwoven square lattices (sql), honeycomb (hcb) nets and tetragonal and hexagonal polycatenanes.