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Mathematical Methods in Paper Folding

$39.99 (P)

  • Publication planned for: November 2020
  • availability: Not yet published - available from November 2020
  • format: Paperback
  • isbn: 9781108746113

$ 39.99 (P)

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About the Authors
  • Origami, the art of paper folding, has a rich mathematical theory. Early investigations go back to at least the 1930s, but the twenty-first century has seen a remarkable blossoming of the mathematics of folding. Besides its use in describing origami and designing new models, it is also finding real-world applications from building nano-scale robots to deploying large solar arrays in space. Written by a world expert on the subject, Origametry is the first complete reference on the mathematics of origami. It brings together historical results, modern developments, and future directions into a cohesive whole. Over 180 figures illustrate the constructions described while numerous 'diversions' provide jumping-off points for readers to deepen their understanding. This book is an essential reference for researchers of origami mathematics and its applications in physics, engineering, and design. Educators, students, and enthusiasts will also find much to enjoy in this fascinating account of the mathematics of folding.

    • The first complete reference on the mathematics of origami
    • Of interest to professionals and students in mathematics, physics and engineering, as well as educators and origami enthusiasts
    • Contains more than 180 figures to illustrate the constructions described
    • Numerous 'diversions' provide jumping-off points for readers to deepen and broaden their understanding
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    Reviews & endorsements

    'This is a magnificent, comprehensive work. It gives a thorough overview of the underlying mathematics of flat-facet (polyhedral) origami, bringing together diverse contributions from many investigators (including the author’s own seminal work), along with historical notes and context that ties everything together. This will be the standard reference for the mathematics of origami for years to come, and with the plethora of open problems, will also undoubtedly be the inspiration for many master’s and Ph.D. theses in the future!' Robert J. Lang, author of Origami Design Secrets and Twists, Tilings, and Tessellations

    'Tom Hull has always been the authority and historian on origami mathematics. In this beautiful book, he ties together a wide range of classic and modern results, grounding them in their rich history.' Erik Demaine, Massachusetts Institute of Technology

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    Product details

    • Publication planned for: November 2020
    • format: Paperback
    • isbn: 9781108746113
    • length: 342 pages
    • dimensions: 243 x 170 x 17 mm
    • weight: 0.63kg
    • contains: 22 b/w illus. 165 colour illus. 2 tables
    • availability: Not yet published - available from November 2020
  • Table of Contents

    Part I. Geometric Constructions:
    1. Examples and basic folds
    2. Solving equations via folding
    3. Origami algebra
    4. Beyond classic origami
    Part II. The Combinatorial Geometry of Flat Origami:
    5. Flat vertex folds: local properties
    6. Multiple-vertex flat folds: global properties
    7. Counting flat folds
    8. Other flat folding problems
    Part III. Algebra, Topology, and Analysis in Origami:
    9. Origami homomorphisms
    10. Folding manifolds
    11. An analytic approach to isometric foldings
    Part IV. Non-Flat Folding:
    12. Rigid origami
    13. Rigid foldings
    14. Rigid origami theory

  • Author

    Thomas C. Hull, Western New England University
    Thomas C. Hull is an Associate Professor of Mathematics at Western New England University and a world expert on the mathematics of origami. He has won the A. T. Yang Memorial Award in Theoretical Kinematics for his research, and his Five Intersecting Tetrahedra was named among the top 10 origami models of all time by the British Origami Society.

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