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.
|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|
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