It is reasonably assumed that there are multiple energy minima in hydrogen bonded water due to the numerous ways that hydrogen bonding can be arranged. This study shows that by algorithmically applying combinations of cycle reversals in the hydrogen bonding network of a single configuration under the assumption of Grotthus type proton transfer, numerous new starting geometries for optimization can be produced. These new starting geometries were shown to have greater than 88% optimization success rate within the set conventional ab initio thresholds.