1. Quilted Mobius Band
2. Picking up stitches and diophantine equations
3. The Sierpinski variations: self-similar crochet
4. Only two knit stitches can create a torus
5. Symmetry patterns in cross-stitch
6. Socks with algebraic structure
|As yet I have not mastered the art of knitting so it may be some time before I have the ability to tackle algebraic socks but I certainly can appreciate the modular arithmetic involved!|
7. Fortunatus’s Purse
8. Knot cables and braids
|Again, there are lots of patterns and ideas about knitting braids and cables. In the Teaching Ideas section they suggested that the braid group can provide useful examples that explore algebraic properties such as commutative and associative laws.|
9. The Graph Theory of Blackwork embroidery
Eulerian graphs, Holbeinian graphs, multigraphs, Aragonian graphs, four definitions, four theorems and five corollaries, need I say more?!
This chapter is a Mathematicians dream and I can’t wait to try this new craft. The final pieces are stunning.
10. Stop those pants!
|Ever fancied knitting hyperbolic trousers? Well, now’s your chance. In this chapter the authors discuss the curvature of wearable trousers and how to model both constant positive and constant negative curvature from plastic.|
Amazing, an inspirational, thought-provoking book that pushes all of my buttons. The next purchase will be Crocheting Adventures with Hyperbolic Planes but I guess I’d better get on and learn how to crochet first…