Mathematizing Niemeyer’s architecture through parametric modeling: evaluating the parables of the Pampulha Church

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de Mello Monteiro, Verner Max Liger; Alves Bezerra, José Rauryson; Paulino do Nascimento, Paulo Roberto; Ramalho dos Santos Júnior, Erisvaldo

Artigo:

This paper describes the mathematization process behind the parables of the Pampulha Church, one of the most iconic buildings designed by Oscar Niemeyer, in order to check how applicable was the use of analytic geometry in his architecture. To reach this, we factored the second degree equations presented on the building based on the parable height and width, then using parametric modeling to translate the formula into shape. As a result, the study intended to demonstrate how equations can be integrated into architecture, identifying how conic curves are being applied to the architectural geometry.

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DOI: 10.5151/sigradi2018-1571

Referências bibliográficas

• [1] Burry, J., & Burry, M. (2010). The New Mathematics of Architecture (1a). London: Thames & Hudson. Florio, W., & Veiga, B. T. M. da. (2016). A visualização espacial através da modelagem paramétrica e da fabricação digital em edifícios curvilíneos de Oscar Niemeyer no Memorial da América Latina The spatial visualization through parametric modeling and digital fabrication in curvilinear building. In SIGraDi 2016, XX Congress of the Iberoamerican Society of Digital Graphics (pp. 686–692). Gonçalves, S. N. L. (2010). Museus projetados por Oscar Niemeyer de 1951 a 2006: o programa como coadjuvante. Universidade de São Paulo. Iezzi, G. (1993). Fundamentos de matemática elementar, 7 (4a). São Paulo: Editora Atual. Kolarevic, B. (2008). The (risky) craft of digital making. In Manufacturing Material Effects: Rethinking Design and Making in Architecture. New York: Routledge. Lima, E., Carvalho, P. C. P., Morgado, A. C., & Wagner, E. (2007). A Matemática do Ensino Médio - Volume 3 (6a). Rio de Janeiro: SBM. Pereira, N. C. (2012). Conceoção arquitetônica e estrutural de duas obras de Oscar Niemeyer: igreja da Pampulha e Pavilhão da Gameleira. Universidade de Brasília. Shekhawat, K. (2017). Mathematical propositions associated with the connectivity of architectural designs. Ain Shams Engineering Journal, 8(4), 653–661. https://doi.org/10.1016/J.ASEJ.2015.09.009 Souza, M. H. (2012). Clássicos da Arquitetura: Igreja da Pampulha / Oscar Niemeyer | ArchDaily Brasil. Retrieved June 16, 2018, from https://www.archdaily.com.br/br/01-83469/classicos-da-arquitetura-igreja-da-pampulha-slash-oscar-niemeyer Stals, A., Elsen, C., & Jancart, S. (2017). Practical Trajectories of Parametric Tools in Small and Medium Architectural Firms. CAAD Futures, 461–473. Tedeschi, A. (2014). AAD_Algorithms Aided Design: Parametric Strategies Using Grasshopper. Brienza Potenza: Le Penseur Publisher. Woodbury, R. (2010). Elements of Parametric Design. New Yoek: Routledge.

Como citar:

de Mello Monteiro, Verner Max Liger; Alves Bezerra, José Rauryson; Paulino do Nascimento, Paulo Roberto; Ramalho dos Santos Júnior, Erisvaldo; "Mathematizing Niemeyer’s architecture through parametric modeling: evaluating the parables of the Pampulha Church", p-294-299. In: . São Paulo: Blucher, 2018.
ISSN 23186968, DOI 10.5151/sigradi2018-1571