Mosaic knitting is a method of two-colour knitting that has become popular in recent
decades. Our analysis begins with the mathematical rules that govern stitch patterns in …

In many fiber arts, such as knitting and embroidery, there is a longstanding tradition of
samplers, pieces that combine patches of different designs into a single artwork. In recent …

Shapes in Action is a book for all those interested in interdisciplinary research and
education. It showcases explorations in the realms of mathematics, art, design and …

Spurred by a study of producing wallpaper pattern types in itajime shibori, this paper
explains how the mathematical concept of orbifold places limitations on realizing patterns in …

All thirteen Catalan solids can be depicted in spherical form via the medium of temari.
Eleven of these are obtained by combining Schwartz triangles arising from standard sets of …

We begin by outlining our current understanding of mathematical fibre arts. We then
describe the mathematics within this special issue, including the confluence of various …

We discuss the mathematics and the craft involved in creating a temari ball embroidered
with 24 trefoil knot designs. Each design includes four colors of thread permuted in a …

A tiling is k− isotoxal if its edges form k orbits or k transitivity classes under the action of its
symmetry group. In this article, a method is presented that facilitates the systematic …