Winner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion & quantum computing.

chapter 2|10 pages

What Can You Learn from Your Model?

chapter 3|30 pages

Four Strands in the History of Geometry

chapter 4|8 pages

Tidbits from the History of Crochet

chapter 5|12 pages

What Is Non-Euclidean Geometry?

chapter 6|8 pages


chapter 7|24 pages

Metamorphoses of the Hyperbolic Plane

chapter 8|16 pages

Other Surfaces with Negative Curvature

chapter 10|12 pages

Hyperbolic Crochet Goes Viral