This book investigates the mathematical principles behind folding objects, exploring connections between seemingly disparate fields like protein folding and pop-up cards. Joseph O'Rourke, drawing on his expertise, guides readers from high school algebra and geometry into more advanced mathematical concepts through tangible examples. The book utilizes 200 color figures to illustrate these concepts, demonstrating how basic folding problems can lead to the frontiers of current mathematical research. It also offers ten unsolved problems for readers to explore, alongside fifty exercises with complete solutions.

The book is presented as an accessible exploration of mathematical folding problems, suitable for readers with a background in high school algebra and geometry. It aims to bridge the gap between basic concepts and advanced research, offering both challenges and solutions. The inclusion of visual aids and interactive elements suggests a pedagogical approach designed to engage the reader actively with the material. The book's structure, moving from foundational principles to open research questions, indicates a comprehensive yet approachable treatment of its subject matter.