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Introduction to Computational Origami

The World of New Computational Geometry

  • Ryuhei¬†Uehara
Book

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Introduction to Unfolding

    1. Front Matter
      Pages 1-1
    2. Ryuhei Uehara
      Pages 3-7
    3. Ryuhei Uehara
      Pages 9-22
  3. Common Nets

    1. Front Matter
      Pages 23-23
    2. Ryuhei Uehara
      Pages 25-58
    3. Ryuhei Uehara
      Pages 59-76
  4. Algorithm and Complexity of Folding

    1. Front Matter
      Pages 77-79
    2. Ryuhei Uehara
      Pages 95-120
  5. Advanced Problems

    1. Front Matter
      Pages 121-122
    2. Ryuhei Uehara
      Pages 123-142
    3. Ryuhei Uehara
      Pages 143-153
    4. Ryuhei Uehara
      Pages 155-180
    5. Ryuhei Uehara
      Pages 197-207
    6. Ryuhei Uehara
      Pages 209-217
  6. Back Matter
    Pages 219-220

About this book

Introduction

This book focuses on origami from the point of view of computer science. Ranging from basic theorems to the latest research results, the book introduces the considerably new and fertile research field of computational origami as computer science. 

Part I introduces basic knowledge of the geometry of development, also called a net, of a solid. Part II further details the topic of nets. In the science of nets, there are numerous unresolved issues, and mathematical characterization and the development of efficient algorithms by computer are closely connected with each other. Part III discusses folding models and their computational complexity. When a folding model is fixed, to find efficient ways of folding is to propose efficient algorithms. If this is difficult, it is intractable in terms of computational complexity. This is, precisely, an area for computer science research. Part IV presents some of the latest research topics as advanced problems. Commentaries on all exercises included in the last chapter. 

The contents are organized in a self-contained way, and no previous knowledge is required. This book is suitable for undergraduate, graduate, and even high school students, as well as researchers and engineers interested in origami.

Keywords

Computational Origami Computational Geometry Algorithms Origami Geometry Folding Unfolding

Authors and affiliations

  1. 1.JAISTIshikawaJapan

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