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
2 - Solving Equations via Folding
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
In this chapter, proofs are given that origami can solve quadratic and cubic equations.For example, when folding a point onto a line the resultingcrease line is tangent to a parabola.Methods used include Lill’s Method for geometrically finding real roots of arbitrary polynomials and Margherita Beloch’s solution to solving cubics from the 1930s.
- Type
- Chapter
- Information
- OrigametryMathematical Methods in Paper Folding, pp. 31 - 47Publisher: Cambridge University PressPrint publication year: 2020