Dissertation/Thesis Abstract

Perimeter-Halving the One-by-Two Rectangle
by Schwent, Katherine, M.S., Southern Illinois University at Edwardsville, 2013, 62; 1544374
Abstract (Summary)

We will study perimeter-halving foldings of the one-by-two rectangle. We will develop tools and algorithms that answer two questions: 1. Given initial coordinates of the polygon, the size of the faces, and the adjacencies, we will find the new three-dimensional coordinates of the polytopes that result from perimeter-halving. 2. If only the dimensions of the polygon are known, we will predict the length and adjacencies of the edges on the resulting polytopes.

We will use previously found lemmas and develop lemmas to help us predict which edges should be in the final polytope. We will use Mathematica to illustrate the tools and algorithms developed in folding the polygon to a unique polytope.

Indexing (document details)
Advisor: Traub, Cythia
Commitee: Parish, Jim, Traub, Cythia, Weyhaupt, Adam
School: Southern Illinois University at Edwardsville
Department: Mathematics and Statistics
School Location: United States -- Illinois
Source: MAI 52/02M(E), Masters Abstracts International
Subjects: Mathematics
Publication Number: 1544374
ISBN: 978-1-303-34216-5
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