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Abstract
A general theory for finding the lightest possible structures is introduced in this article. Then a special centroid form of the theory is introduced. This special form will later help in the implementation of the general theory itself. The proposed theory applies to any structure regardless of size. The paper examines the special form of the theory on a load case over a cantilevered beam and a shelter structure. The results achieved computationally using the special centroid form of the theory were six to eleven times better than any other available optimized proposed alternative. The importance of Voronoi/Delaunay Diagrams is not only their influential existence in nature but also their ability to adapt to the other possible forms.
