Recent advances have begun to blur the lines between theoretical mathematics and applied mathematics. Oftentimes, in a variety of fields, concepts from not only applied mathematics but theoretical mathematics have been employed to great effect. As more and more researchers come to utilize, deploy, and develop both abstract and concrete mathematical models (both theoretical and applied), the demand for highly generalizable, accessible, and versatile mathematical models has increased drastically (Rosen, 2011). Specifically in the case of Complex Systems and the accompanying field of Complex Systems Analysis, this phenomenon has had profound effects. As researchers, academics, and scholars from these fields turn to mathematical models to assist in their scientific inquiries (specifically, concepts and ideas taken from various subsets of graph theory), the limitations of our current mathematical frameworks becomes increasingly apparent. To remedy this, we present the Chang Graph, a simple graph defined by an n-sided regular polygon surrounding a 2n-sided regular polygon. Various properties and applications of this graph are discussed, and further research is proposed for the study of this mathematical model.