Navigating Curved Spaces: Hands-On Explorations in Hyperbolic and Elliptic Geometry

This book invites readers into the strange, beautiful worlds of hyperbolic and elliptic geometry, where triangles don't behave as Euclid promised and space itself bends in unexpected ways. Using compass and straightedge, graph paper, Temari spheres, viral capsids, and even collage, the book puts non-Euclidean geometry directly into the reader's hands--something to build, test, and explore rather than simply read about.

Drawing on twenty-five years of teaching college geometry, Dr. McDaniel...