I am currently an undergraduate Mathematics major at Princeton University. I completed this paper under the guidance of Professor Luis F. Cáceres-Duque as a senior year project for my Mathematical Research class in the University Gardens High School in San Juan, Puerto Rico. This paper was eventually presented at Intel's 2004 International Science and Engineering Fair held in Portland, Oregon, where it obtained a Third Place Award in Mathematics. I would like to obtain a Ph.D. in Mathematics and become a mathematician.
Professor Luis F. Cáceres, Professor of Mathematics,
University of Puerto Rico-Mayagüez