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4 - Beyond Classic Origami

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

In this chapter, geometric construction possibilities that go beyond traditional origami are described.Multifolds, which are origami operations that allow for the simultaneous creation of more than one crease, are the main focus of the chapter.Multifolds provide more algebraic power to origami constructions, and multifold methods of performing angle quintisections and 11-gons are described.Alperin and Lang’s proof that multifold origami can find roots of arbitrary polynomials is given.Origami constructions that include curved creases are also explored, showing that they can allow the construction of some transcendental numbers.

Keywords

multifoldsfolding knotsangle quintisectionLill’s Methodcurved crease constructions
Type
Chapter
Information
Origametry
Mathematical Methods in Paper Folding
 , pp. 58 - 72
Publisher: Cambridge University Press
Print publication year: 2020

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