Asking your forbearance (I'm not an engineer or architect), but imagine if the Forrestal Building were re-modeled into two cuboids (3-dimensional rectangles) or towers on either side of 10th Street. These two towers could be connected by an enclosed bridge/walkway (or bridges/walkways) whose walls would be largely glass.
DOE would give up the office space that is elevated above 10th Street but they would regain it with two or three floors of new space below what is now the cantilevered portion of the building.
Besides opening up the view, this approach would result in a building that would be safer in the event of a terrorist attack or certain natural disasters.
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