A Field Guide to Hyperbolic Space

For two thousand years mathematicians knew about only two kinds of geometry - the plane and the sphere. But in the early nineteenth century they became aware of another space in which lines cavorted in aberrant formations. Offending reason and common sense, this new space came to be known as the hyperbolic plane, in homage to its abundant excess of parallel lines. Though the formalities of this space were known for 200 years, it was only in 1997 that mathematician Daina Taimina finally worked out how to make a physical model of the hyperbolic plane. The method she used was crochet. Here, IFF director Margaret Wertheim presents a brief history of hyperbolic space and a field guide to its crocheted manifestations. This book is individually hand-made at the Triage Bindery.