(2011) move to an application of the general theoretical principles and certain of their conclusions to the real-world issues facing high-rise structures (buildings), discussing windshear and the typical stress trajectories that these buildings face and certain basic calculations that provide the basic structures used to structure buildings in a way that addresses these stress issues. The section that directly roots the author's theoretical model in the concrete world of high-rise buildings is brief and their invocation of their own theory significantly limited, however this section does provide useful background information that helps to frame the understanding of the element mapping and topological optimization calculations and considerations that must be taken into account. An illustration of the pattern gradation, topological optimization, and a real-world analog in the form of a photograph of an existing building illustrate quite clearly and directly the link between the authors' model and the real-world construction of high-rise structures. At the same time, the authors' final caveat in this section that their discussion here is only directly applicable to uniform material distribution when the major advancement of their research is that the methodology allows for greater resource efficiency through non-uniform distribution seems somewhat odd. The fifth section and final body section of Stromberg et al.'s (2011) published article extends the concrete discussion of high-rise buildings and combines it with numerical data from computations based on the modeling and mapping techniques in a discussion of potential building deisgns and methods of resisting windshear, and of how the underlying structural...

A two-dimensional beam and a three-dimensional tapered building are both numerically modeled (and the latter visually modeled) to provide an understanding of the practical applications for the authors' methodology, with an accompanying photograph of another real high-rise structure after which the three-dimensional structure demonstrated by the authors is modeled. Clear difference in structural design are provided in another visual, with the pattern gradation clearly visible though the resource differences and construction easement initially promoted by the authors less apparent in this application. The increased flexibility and variability of pattern gradation's effect on topology optimization is made readily apparent, however, and Stromberg et al. (2011) succeed in making their case for the methodology they developed in this research.
Conclusion

Stromberg et al. (2011) made relatively minor changes to and combinations of pre-existing models and methodologies to achieve the pattern gradation effects that they sought in their constructing of this research. The results of these changes have a significant impact not only on the current state of research but in practical approaches to problem solution in building design and the structural engineering of buildings and especially high-rises. It is often through these connection and slow building of these minute adjustments and incorporations that significant steps forward are made, and while this research will not revolutionize structural engineering it doe provide a useful new problem solving tool and a direction for further investigations and efforts.