This is Chapter 1 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:

Shapes made from a complicated assembly of rectangles have traditionally been crocheted either by working from one end to the other of the shape or by crocheting several smaller rectangles and stitching them together. This chapter presents a technique for determining and constructing a spine running down the center of a single, center-worked crochet unit such that, except for the foundation chain and the first round, the entire unit's construction is the result of an easily-memorized procedure performed for several rounds. The full creation process is described for both the seven tetrominoes (two-dimensional shapes made of four squares, popularly known as Tetris pieces) and the pentominoes (two-dimensional shapes made of five squares).

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!