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Applications of a New Property of Conics to Architecture: An Alternative Design Project for Rio de Janeiro Metropolitan Cathedral |
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| Authors: | Juan V. Martín Zorraquino Francesco Granero Rodríguez José Luis Cano Martín |
| Affiliation: | 1. Industriales y de Telecomunicación de Bilbao, Escuela Superior de Ingenieros, Alameda de Urquijo s/n, 48013, Bilbao, Spain 2. Dep. de Matemática Aplicada., E.T.S. de Ingenieros Industriales y de Telecomunicación, C/ Alda. Urquijo s/n, 48013, Bilbao, Spain 3. Dpto. Ingeniería Energía y Equipamientos, Babcock Wilcox Espa?ola, S.A., Ctra. Ugarte - Galindo s/n, 48510, Trapagarán, Bizkaia, Spain |
| Abstract: | This paper describes the mathematical discovery of a new property of conics which allows the development of numerous geometric projects for use in architectural and engineering applications. Illustrated is an architectural application in the form of an alternative project for Río de Janeiro Metropolitan Cathedral featuring the integration of a circular base and a cross in the top plane. Two alternative designs are presented for the cathedral, based on the choice of either the Latin Immisa or Greek cross. |
| Keywords: | Rio de Janeiro Metropolitan Cathedral linear algebra analytic geometry Juan V. Zorraquino Martin Francisco Granero Rodriguez José Luis Cano Martin conic sections Felix Candela |
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