Thesis Title
Origami Constructions of Rings of Algebraic Integers
Department or Program
Mathematics
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.
Level of Access
Open Access
Date of Graduation
Spring 5-2016
Degree Name
Bachelor of Arts
Recommended Citation
Kritschgau, Juergen Desmond, "Origami Constructions of Rings of Algebraic Integers" (2016). Honors Theses. 164.
https://scarab.bates.edu/honorstheses/164
Number of Pages
117
Components of Thesis
1 pdf file
Open Access
Available to all.