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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.
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.
Introduces basic theorems and the latest research results
Focuses on origami from the point of view of computer science
Contains many unsolved problems, exercises, and answers to the exercises
Chapter 1: Unfolding.- Chapter 2: Basic Knowledge of Unfolding.- Chapter 3: Common Nets of Boxes.- Chapter 4: Common Nets of (Regular) Polyhedra.- Chapter 5: One-Dimensional Origami Model and Stamp Folding.- Chapter 6: Computational Complexity of Stamp Folding.- Chapter 7: Bumpy Pyramids Folded from Petal Polygons.- Chapter 8: Zipper-Unfolding.- Chapter 9:Rep-cube.- Chapter 10: Common Nets of a Regular Tetrahedron and Johnson-Zalgaller Solids.- Chapter 11: Undecidability of Folding.- Chapter 12: Answers to Exercises.
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xviii
220 S. 107 s/w Illustr. 25 farbige Illustr. 220 p. 132 illus. 25 illus. in color. |
| ISBN-13: | 9789811544699 |
| ISBN-10: | 9811544697 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Uehara, Ryuhei |
| Auflage: | 1st edition 2020 |
| Hersteller: |
Springer Singapore
Springer Nature Singapore |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 19 mm |
| Von/Mit: | Ryuhei Uehara |
| Erscheinungsdatum: | 30.06.2020 |
| Gewicht: | 0,53 kg |
Introduces basic theorems and the latest research results
Focuses on origami from the point of view of computer science
Contains many unsolved problems, exercises, and answers to the exercises
Chapter 1: Unfolding.- Chapter 2: Basic Knowledge of Unfolding.- Chapter 3: Common Nets of Boxes.- Chapter 4: Common Nets of (Regular) Polyhedra.- Chapter 5: One-Dimensional Origami Model and Stamp Folding.- Chapter 6: Computational Complexity of Stamp Folding.- Chapter 7: Bumpy Pyramids Folded from Petal Polygons.- Chapter 8: Zipper-Unfolding.- Chapter 9:Rep-cube.- Chapter 10: Common Nets of a Regular Tetrahedron and Johnson-Zalgaller Solids.- Chapter 11: Undecidability of Folding.- Chapter 12: Answers to Exercises.
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Wahrscheinlichkeitstheorie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xviii
220 S. 107 s/w Illustr. 25 farbige Illustr. 220 p. 132 illus. 25 illus. in color. |
| ISBN-13: | 9789811544699 |
| ISBN-10: | 9811544697 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Uehara, Ryuhei |
| Auflage: | 1st edition 2020 |
| Hersteller: |
Springer Singapore
Springer Nature Singapore |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 19 mm |
| Von/Mit: | Ryuhei Uehara |
| Erscheinungsdatum: | 30.06.2020 |
| Gewicht: | 0,53 kg |
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