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The mathematical secrets of Barcelona's Sagrada Familia

The article reveals the mathematical and geometric principles behind Gaudí's Sagrada Familia, showing how hyperboloids, paraboloids, and other complex shapes created its unique structure while also providing structural efficiency, allowing thinner columns and lighter load-bearing elements.

Background

- The Sagrada Familia is Barcelona's famous, still-unfinished basilica designed by Antoni Gaudí (1852–1926). Construction began in 1882, completion is projected around 2026–2030. It's one of the world's most visited landmarks. - Gaudí pioneered the use of complex geometric forms — hyperbolic paraboloids, helicoids, conoids, and ruled surfaces — to create the building's organic, nature-inspired towers and columns. These were mathematically advanced for his era and structurally efficient. - The article likely discusses how modern mathematics (computational geometry, parametric design, 3D scanning) has been used to decipher and complete Gaudí's original vision, since he left few blueprints and many models were destroyed during the Spanish Civil War. - "Mathematical secrets" refers to the underlying geometric principles that make the building's non-Euclidean forms possible — a field where the Sagrada Familia is a pioneering work.