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1 - Examples and Basic Folds

from Part I - Geometric Constructions

Published online by Cambridge University Press:  06 October 2020

Thomas C. Hull
Thomas C. Hull
Affiliation:
Western New England University
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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

straightedge and compassconstructionsangle trisectionbasic origami operationsregular heptagon
Type
Chapter
Information
Origametry
Mathematical Methods in Paper Folding
 , pp. 11 - 30
Publisher: Cambridge University Press
Print publication year: 2020

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