Title

Euclidean Constructions and the Geometry of Origami

Date

5-30-2013 11:00 AM

Location

Math and Nursing Building (MNB) 104

Department

Mathematics

Session Chair

Hamid Behmard

Session Title

Mathematics Senior Project Presentations 2

Faculty Sponsor(s)

Hamid Behmard

Presentation Type

Symposium

Abstract

Origami is an art that bears the potential to benefit mathematics. We explore an axiom system of origami geometry that is equivalent to the Euclidean geometry axiom set. In this process, we find that origami possesses a special axiom that is impossible to execute by Euclidean methods. This special axiom permits us to find the cubic root of the length of a segment, solve general cubic equations, and trisect angles. We also discover that parabolas play a key role in the geometry of origami.

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May 30th, 11:00 AM

Euclidean Constructions and the Geometry of Origami

Math and Nursing Building (MNB) 104

Origami is an art that bears the potential to benefit mathematics. We explore an axiom system of origami geometry that is equivalent to the Euclidean geometry axiom set. In this process, we find that origami possesses a special axiom that is impossible to execute by Euclidean methods. This special axiom permits us to find the cubic root of the length of a segment, solve general cubic equations, and trisect angles. We also discover that parabolas play a key role in the geometry of origami.