Weaving, Knitting Topology, Braid Groups & Pattern Symmetry
Explore the deep mathematical structures hidden in textiles. From the binary matrices of weaving drafts to the topology of knitted surfaces, from braid group algebra to the seven frieze symmetry groups found in border patterns -- textiles have been encoding mathematics for millennia.
The fundamental mathematics of interlacing: binary matrices, punch card encodings, and the algebraic operations that generate every possible fabric structure.
The mathematical classification of repeating patterns in textiles, from the seven frieze groups of border decorations to the wallpaper groups of tartan plaids.
From the turning sequences of tablet weaving to the spring-mass physics of cloth draping, the computational and physical side of textile creation.