Perfect colourings of isonemal fabrics by thin striping

TL;DR

This paper explores perfect colourings of isonemal fabrics through thin striping, extending the catalogue of such prefabrics that fall apart to order 20 for even genus, and investigates their relationships.

Contribution

It advances understanding of perfect colourings in isonemal fabrics and extends the catalogue of isonemal prefabrics that fall apart to higher orders.

Findings

Extended the catalogue of isonemal prefabrics that fall apart to order 20

Reconsidered the relation between perfect colouring and fabric properties

Explored the structure of isonemal fabrics with thin striping

Abstract

Perfect colouring of isonemal fabrics by thin striping of warp and weft and the closely related topic of isonemal prefabrics that fall apart are reconsidered and their relation further explored. The catalogue of isonemal prefabrics that fall apart is extended to order 20 for those of even genus.