Origami and Geometry: Introduction

Introduction

This begins a series of lessons on the close relationship between origami and geometry.  The subtitle could be "Anything that can be done with the traditional tools of geometry, can be done with folding."    

Traditional tools of geometry include three items:  a straightedge, compass, and protractor.  Many, if not all constructions that are made with these tools, can be directly performed by folding.   Folding a flat sheet of paper immediately creates a straight line through any two points you select.  The compass and protractor are not difficult to demonstrate an equivalence as well.

Using the manipulation and folding of paper can in some instances actually be more efficient than using the traditional tools.   Some examples are given in the next page:  Examples.

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2012-01-08
Copyright 2012