Date of Graduation

Spring 5-2016

Level of Access

Open Access

Degree Name

Bachelor of Arts

Department or Program

Mathematics

Number of Pages

117

Abstract

In origami, the artist uses a set of reference points to guide his or her folds of the paper. The intersections of these folds result in new reference points. We can abstract away from the physical art form of origami to get a mathematical notion of origami construction. That is, we can consider our paper to be the complex plane, and use a set of reference points and lines at allowable angles to create new reference points at intersections. It is know that if the initial set of reference points is S = {0 ,1} and the set of allowable angles forms a group in T/{1,-1}, the unit semi-circle, then the set of points closed under the origami construction forms a ring. I provide a construction for the ring of algebraic integers in all imaginary quadratic subfields of the complex plane.

Components of Thesis

1 pdf file

Open Access

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