Colouring Isonemal Fabrics with more than two Colours by Thick Striping

TL;DR

This paper introduces methods for perfectly colouring isonemal fabrics using more than two colours through thick striping, establishing conditions for success and providing comprehensive examples across all species.

Contribution

It presents new conditions for perfect colouring of isonemal fabrics with multiple colours via thick striping and demonstrates their applicability with diverse examples.

Findings

Conditions for perfect colouring are derived.

Avoiding these conditions ensures successful colouring.

Examples cover all possible fabric species.

Abstract

Perfect colouring of isonemal fabrics by thin and thick striping of warp and weft with more than two colours is introduced. Conditions that prevent perfect colouring by striping are derived, and it is shown that avoiding them is sufficient to allow it. Examples of thick striping in all possible species are given.