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
3 - Origami Algebra
from Part I - Geometric Constructions
Published online by Cambridge University Press: 06 October 2020
- 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 field of origami numbers in the complex plane that are constructible by straight-line, one-crease-at-a-time origami is characterized to be the smallest subfield of the complex numbers that can be obtained by 2-3 towers of extension fields.Other ways to describe this field are also discussed.
- Type
- Chapter
- Information
- OrigametryMathematical Methods in Paper Folding, pp. 48 - 57Publisher: Cambridge University PressPrint publication year: 2020