  In this paper, we explore two different methods of finding the degrees of
degeneracy for lattice model systems, specifically constructing one with a
Fibonacci degree of degeneracy. We also calculate the number of ground states
per site as the golden ratio $(\phi)$ for the system that we constructed and
extend our results to systems with $k-$Step Fibonacci degrees of degeneracy.
Finally, I end with a few open questions that we may examine for future works.
