‘If the essentials of architecture lie in spheres, cones and cylinders, the generating and accusing lines of these forms are on a basis of pure geometry.’
(Le Corbusier, 1931)
Precedent studies have become a tradition in architectural education; however, these analytical studies rarely translate directly into useful design devices. This chapter is a unique catalogue of architectural designs analyzed using mathematical equations. The chapter not only presents the built shape and its equation, but transforms each building’s most basic topological ancestor (cylinder or sphere) into the building’s final shape. After the final built shape is generated, ...
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