Origametry Mathematical Methods in Paper Folding 1st Edition by Thomas C. Hull 9781108804769 1108804764

Origametry Mathematical Methods in Paper Folding 1st Edition Thomas C. Hull – Ebook Instant Download/Delivery ISBN(s): 9781108478724, 9781108778633, 9781108746113, 1108478727, 1108778631, 110874611X, 9781108804769, 1108804764

Product details:

• ISBN 10:  1108804764
• ISBN 13: 9781108804769
• Author: Thomas C. Hull

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.

Table 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

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