Novel Textile Knot Designs Through Mathematical Knot Diagrams

Nithikul Nimkulrat and Janette Matthews
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 477–480 Short Papers


A mathematician and a textile practitioner both with an interest in textile knotting and a focus on research in textile design have collaborated to analyze textile practice and realize novel knot designs through mathematical characterization. The design process has made use of century-old drawing techniques used to represent knots and braids. This paper demonstrates how the manipulation of these diagrams was utilized as a design tool to generate and visualize novel patterns.