A “simple” rectangular puzzle

In this note we describe a dynamic, d-dimensional toroidal puzzle, the duplication puzzle. It was first introduced in [Rosenfeld, M., A dynamic puzzle, Amer. Math. Monthly 98 (1991), 22–24]. We calculate some optimal solutions for the 2-dimensional toroidal puzzle, for higher dimensional tori and demonstrate how they might be used to improve known lower bounds of the Shannon Capacity of odd cycles.