This richly illustrated book discusses non-Euclidean geometry and the hyperbolic plane in an accessible way. The author provides instructions for how to crochet models of the hyperbolic plane, pseudosphere, and catenoid/helicoids. With this knowledge, the reader has a hands-on tool for learning the properties of the hyperbolic plane and negative curvature. The author also explores geometry and its historical connections with art, architecture, navigation, and motion, as well as the history of crochet, which provides a context for the significance of a physical model of a mathematical concept that has plagued mathematicians for centuries.