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Despite recent advances in computationally driven methods, contemporary architectural production often falls short of their potential mainly because architects have repeatedly neglected formal disciplines of geometry and instead turned to reductive principles for conceiving, describing and producing seemingly complex forms. In seeking a more open set of outcomes, this seminar will engage CAD/CAM technologies in a way that is commensurate with their possibilities. We will regard the contemporary surplus of computational form as a provocation to develop formal and spatial configurations that demand the development of new hybrid and synthetic tectonics in which not only its form but also its material incarnation is integral to that particular architectural expression. With equal emphasis on formal analysis, elementary mathematical thinking and numerically controlled material technology, the seminar will circle the exploration and production of new tectonics and their material effects.