Importance

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Abstract

A load bearing structure having a set of uniform voids functions to resolve the forces imposed by developing compression in the material having the voids and minimizing the amount of tension developed in the material. The voids are deployed to encompass a matrix of points arranged such that each point is spaced an equal distance from twelve and only twelve adjacent matrix points. If the structure is considered to be composed of a closely packed set of hypothetical rhombic dodecahedra (RD) and the four-edge vertices of each of those hypothetical RDs is truncated, the result will be a set of cubic voids. The center of each of those cubic voids will define the matrix referred to above and the cubic voids will serve to provide the optimum resolution of stress which minimizes the development of tension in the material. One in four of the hypothetical RDs can be eliminated achieving the same force resolution in a structure containing less material. The shape and size of the voids can be varied with only slight loss in optimum stress resolution. Some voids can be omitted with only slight loss of optimum stress resolution.

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First Claim