"The 2nd edition of this nontraditional, tactile introduction to hyperbolic geometry has updated chapters on the early development of geometry and connections between geometry, art, nature, and sciences, including some more recent applications of hyperbolic geometry in medicine, neuroscience, architecture, fashion design, quantum computing. Crafters who enjoyed the crocheting hyperbolic planes described in first edition ... will be delighted to find more detailed step-by-step instructions for how to crochet some new geometric models and how to use them in explorations. Richly illustrated with more than 300 full-color photographs, this text not only gently introduces a reader to beautiful geometry but also reveals some of Daina Taimina's own adventures with the hyperbolic planes, as well as the experiences of some of her readers from all over the world during 20 years of hyperbolic crochet."--Back cover.