[1] She had previously described these models in a research paper and used them as illustrations for an undergraduate geometry textbook, but this book describes more of the background for the project, makes it more widely accessible,[2] and provides instructions for others to follow in making these models.

The first chapter introduces the notion of the curvature of a surface, provides instructions for an introductory project in crocheting a patch of the hyperbolic plane, and provides an initial warning about the exponential growth in the area of this plane as a function of its radius, which will cause larger crochet projects to take a very long time to complete.

A final chapter covers the applications of hyperbolic geometry and its ongoing research interest.

[2][5] However, although suggesting that it has a place on mathematical coffee tables, reviewer Keith Leatham wonders who its real readers are likely to be.

"[4] Crocheting Adventures with Hyperbolic Planes won the 2009 Bookseller/Diagram Prize for Oddest Title of the Year.