Figuring Fibers: Knitting Torus Knots and Links (Chapter 6)
Share this pagesarah-marie belcastro
This is Chapter 6 of Figuring Fibers, edited by
Carolyn Yackel and sarah-marie belcastro.
This self-contained chapter contains directions for a complete
project in a downloadable PDF file. You may also purchase the entire
volume or see
a list of all chapters available for individual purchase.
Background for crafters:
We commonly think of knots as tangles in yarn that can't be removed
without manipulating the free ends. This is conceptually the same as
the idea of mathematical knots—the main difference is that a
mathematical knot has no free ends, which is achieved by fusing
together the free ends of an ordinary knot. Many mathematical knots
are pretty and some are symmetrical. This chapter is about the
mathematics of a class of knots that are conveniently able to wind
around the neck many times, and about the mathematics that arises when
making cowls that have the form of these knots.
About Figuring Fibers:
Pick up this book and dive into one of eight chapters relating
mathematics to fiber arts! Amazing exposition transports any
interested person on a mathematical exploration that is rigorous
enough to capture the hearts of mathematicians. The zenith of
creativity is achieved as readers are led to knit, crochet, quilt, or
sew a project specifically designed to illuminate the mathematics
through its physical realization. The beautiful finished pieces
provide a visual understanding of the mathematics that can be shared
with those who view them. If you love mathematics or fiber arts, this
book is for you!