There are two well-known ways to decrease damaging effects of earthquake or wind-initiated shear waves, which may propagate in a building structure, namely to: (a) dissipate the wave energy with the properly engineered damping devices; and (b) absorb the resonant portions of the waves with the help of tuned mass dampers (Shustov 2000). Both energy dissipation and absorption assume installation of special structural control devices, often requiring a permanent maintenance, which makes such types of control rather expensive. There is, yet, a better choice to disperse the shear wave energy between a wide range of frequencies of oscillation by configuring the building elevation adequately thus preventing the structural system (Shustov 2000). In this respect, it has been proven that pyramid-shaped structures are better in terms of ability to handle seismic movement caused by earthquakes. The elevation of pyramid structures handles resonant amplifications very well. The structure of a pyramid disperses wave energy stopping resonant displacement amplification in the structure. The best examples of building elevation control are the pyramids of Giza, Egypt, which have been standing for thousands of years, particularly the strong tremor that hit Egypt in 1992.