First, the liberation of tectonics from the economic straitjacket of orthogonal geometry demands more precision in the interface between architectural definitions of form and the computer-driven fabrication processes of manufacturing constructors. Second, the engineering design for the complex geometries of contemporary tectonics must begin from a definitive mathematical base. And third, there is a lacuna in the theoretical body of architecture, an absence that is marked by the proliferation of design processes that borrow the appearance of scientific methods yet lack their clarity of purpose mathematical instruments and theoretical integrity