Book contents
- Frontmatter
- Dedication
- Contents
- Introduction
- 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
- Part III Algebra, Topology, and Analysis in Origami
- Part IV Non-flat Folding
- References
- Index
1 - Examples and Basic Folds
from Part I - Geometric Constructions
Published online by Cambridge University Press: 06 October 2020
Book contents
- Frontmatter
- Dedication
- Contents
- Introduction
- 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
- Part III Algebra, Topology, and Analysis in Origami
- Part IV Non-flat Folding
- References
- Index
Summary
The idea of using origami to perform geometric constructions (as opposed to the classic tools of straightedge and compass) is introduced.Origami construction methods are presented for folding an equilateral triangle, dividing a line segment into n equal pieces, trisecting angles, and folding a regular heptagon.The basic origami operations are also presented and proved to be the complete list of basic construction moves that can be made in origami by folding one straight crease at a time.Historical remarks are also included.
Keywords
- Type
- Chapter
- Information
- OrigametryMathematical Methods in Paper Folding, pp. 11 - 30Publisher: Cambridge University PressPrint publication year: 2020