This is Chapter 3 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:

In this chapter, we walk the reader through a close examination of a knitted square lace pattern called the Templeton square. By thoroughly understanding the pattern's structure, we are able to create sets of related modified patterns for squares of certain sizes. In the mathematics section, we count these sets. In the chapter, two sets of Templeton square variants are explicitly given: one for squares with thirteen rounds and one for squares with twenty-one rounds. Four patterns from a set of squares with twenty-nine rounds are incorporated into a pattern for a stole.

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!