I spent the summer of 2013 in the lab of Professor Philip Kim conducting research in condensed matter physics. My work focused on fabricating electrical devices out of graphene to search for a phenomenon known as Hofstadter's Butterfly. If two lengths associated with the motion of electrons called the lattice periodicity and the magnetic periodicity are of the same order of magnitude, the energies of graphene's electrons will assume an unusual fractal structure that resembles a butterfly when plotted. If the graphene devices I worked with can achieve this condition reliably, Hofstadter's Butterfly could be observed more consistently and studied to better understand the fundamental physics of graphene.