Gothic Architecture: Surfaces and Curvature

This lecture explores the variety of surfaces and curvatures present in Gothic architecture, from positive curvature gothic shells to negative curvature ogival surfaces. It delves into the intricate geometry of surfaces like tractricoids and catenoids, showcasing the architectural exploration of surfaces with variable and constant curvature. The lecture also discusses the historical evolution of vaults, from medieval constructions to modern interpretations like the Rotunda of the Saint-Lazare Metro in Paris.