Within an urban space increasingly governed by financial capital and its algorithms, abstraction is everywhere materialized into the material and immaterial spaces of our daily existence. Piet Mondrian’s utopian vision of a world ruled by the aesthetics of abstraction is now finally realized. The course will trace the history of abstraction in architecture from the advent of sedentary societies to today by focusing on pivotal moments: the rise of calculus, geometry and architectural drawing, the building of large-scale structures such as Egyptian Pyramids and European Cathedrals, the planning of monasteries and the engineering of infrastructure, the building of houses, glasshouses, factories, and data centers.