This unusual book grew out of a special session on mathematics education using fiber arts held at the January 2005 American Mathematical Society meeting. Editors Belcastro and Yackel are math professors affiliated, respectively, with Smith College and Mercer University; they present a lively introduction to what is obviously a subject of passionate interest, showing how mathematics and the various fiber arts are intertwined and proposing that the study of one illuminates the other. The contributed chapters offer suggestions for teaching in connection with fully explained projects such as making Möbius quilts, bi-directional hats (diophantine equations), Sierpinski shawls (Sierpinski variations & self similar crochet), and knitted toruses; symmetry patterns in cross-stitch, socks with algebraic structure, and Fortunatus's purse; and making a pillow of braid equivalence, embroidering a Holbeinian graph, and making hyperbolic pants. The book is attractively produced as if it were indeed simply a craft instructions book, and many color photos illustrate the projects. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)