My interest in research unknowingly began in WPI’s recreational mathematics course, where I was handed a preprint of a paper written by the instructor’s colleague. The paper described a method for directly evaluating terms in the Calkin-Wilf sequence, a list which includes each reduced rational number exactly once. I read the paper and was fascinated by its ideas. A year later, I returned to the paper and found that the author left an open question: given a reduced fraction, how does one determine its position in the sequence? This question asks the converse of what the paper achieved, which was to determine the reduced fraction at a given position in the sequence. Shortly after, I developed a solution using continued fractions. But notably, the method was reversible and solved the original problem as well! With encouragement from the paper’s author and with direction from my advisors, I refined the method and wrote a paper. My original research is now proudly published in the peer-reviewed Pi Mu Epsilon Journal.