Crocheting the Hyperbolic Plane

Until the nineteenth century, mathematicians knew about only two kinds of geometry: the Euclidean plane and the sphere. The discovery of hyperbolic space in the 1820s and 1830s marked a turning point in mathematics and initiated the formal study of non-Euclidean geometry. Almost two centuries later, Dr. Daina Taimina at Cornell University made a physical model of the hyperbolic plane — a feat many mathematicians had believed was impossible — using crochet. This exhibition presents a collection of crochet models demonstrating the mathematical qualities of hyperbolic space.