Discrete Optimization in Architecture: Building Envelope | Ebook

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This book explores the extremely modular systems that meet two criteria: they allow the creation of structurally sound free-form structures, and they are comprised of as few types of modules as possible. Divided into two parts, it presents Pipe-z (pz) and Truss-z (tz) systems. Pz is more fundamental and forms spatial mathematical knots by assembling one type of unit (pzm). The shape of Pz is controlled by relative twists of a sequence of congruent Pzms. Tz is a skeletal system for creating free-form pedestrian ramps and ramp networks among any number of terminals in space. Tz structures are composed of four variations of a single basic unit subjected to affine transformations (mirror reflection, rotation and combination of both).

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