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This lecture explores generative modelling in architecture, focusing on the process of building objects rather than the final result. It delves into Gothic architecture, shape reconstruction, symmetry-curvature duality, and the history minimisation principle. The instructor discusses the concept of groups in transformation systems and how shapes can be generated through rotations, translations, and deformations. The lecture emphasizes the importance of understanding the history of shapes and the ethical implications of preserving asymmetries. It concludes by proposing a generative theory for architectural patterns, aiming to analyze shapes as a series of actions for history recovery.