Fractal analysis comparison between “Sagrada Familia” Temple and Gothic Cathedrals
DOI:
https://doi.org/10.3989/ic.13.119Keywords:
Sagrada Familia, Antoni Gaudí, fractal parameters and architecture, Ghotic CathedralsAbstract
The “Sagrada Familia” is considered to be a no-gothic temple. This negation is due to the known fact that the force distribution in the Gothic style is structurally counteracted by means of support elements. In this temple, however, the force distribution is structurally counteracted “in an organic fashion”, i.e., it is neutralised through the construction of quadric surfaces which naturally generate such distribution. Without denying that the “Sagrada Familia” is a no-gothic building, in this paper we use fractal, descriptive and computational Geometry techniques and we apply them to the basic projections of the temple in order to parameterize the characteristic which describes the space-filling effectiveness of the design, the roughness of its elements. We conclude that such characteristic is indeed gothic and matches the Gothic style, particularly the cathedrals in Burgos, Paris, Amiens and Chartres.
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(1) Bovill, C. (1996) Fractal Geometry in Architecture and Design. Boston: Birkhäuser. http://dx.doi.org/10.1007/978-1-4612-0843-3 PMCid:PMC2352455
(2) Bovill, C. (2008). The Doric Order as a Fractal. Nexus Network Journal, 10(2): 283-290. http://dx.doi.org/10.1007/s00004-007-0070-x
(3) Brown, C. (2003). The fractal geometry of ancient Maya settlement. Journal of Archaeological Science, 30(12): 1619-1632. http://dx.doi.org/10.1016/S0305-4403(03)00063-3
(4) Rian, I. M., Park, J., Chanfg, D. (2007). Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho. Building and Environment, 42(12): 4093-4107. http://dx.doi.org/10.1016/j.buildenv.2007.01.028
(5) Vaughan, J., Ostwald, M. (2009). A Quantitative Comparison between the Formal Complexity of Le Corbusier's Pre-Modern (1905-1912) and Early Modern (1922-1928) Architecture. Design Principles and Practices: An International Journal, 3: 359-372.
(6) Ostwald, M., Vaughan, J. (2009). Calculating Visual Complexity In Eisenman's Architecture: a computational fractal analysis of five houses (1968-1976). Australia: NOVA - The University of Newcastle's Digital Repository.
(7) Vaughan, J., Ostwald, M. (2011). The Relationship between the Fractal Dimension of Plans and Elevations in the Architecture of Frank Lloyd Wright: Comparing The Prairie Style, Textile Block and Usonian Periods. Architecture Science ArS, 4: 21-44.
(8) Sala, N. (2006). Fractal geometry and architecture: Some interesting connections. WIT Trans. Built. Environ., 86: 163-173. http://dx.doi.org/10.2495/arc060171
(9) Espel, R., Gómez, J., Grima, R., Aguado, A. (2009). La evolución de la construcción del Templo de la Sagrada Familia. Informes de la Construcción, 61(516): 5-20. http://dx.doi.org/10.3989/ic.08.057
(10) Ràfols, J. (1928). Antoni Gaudí. Barcelona: Editorial Canosa.
(11) Puig Boada, I. (1929). El temple de la Sagrada Familia. Barcelona: Editorial Barcino.
(12) Puig Boada, I. (1952). El templo de la sagrada familia, síntesis del arte de Gaudí. Barcelona: Ediciones Omega.
(13) Martinell, C. (1952). La Sagrada Familia. Barcelona: Editorial AYMA.
(14) Puig Boada, I. (1979). El temple de la sagrada familia. Barcelona: Ediciones nuevo arte, Thor.
(15) Bassegoda, J. (1989). El gran Gaudi. Sabadell: Editorial Ausa.
(16) Puig Boada, I. (2002). Arquitectes de Gaudí: Berenguer/Rubió/Jujol/Sugrańes/Ràfols/Martinell/Bergós/Bonet/Boada. Barcelona: COAC.
(17) Bonet, J., Casanova, M., Faulí, J., Giralt-Miracle, D. (2011). Sagrada Familia de Gaudí, el templo expiatorio desde sus orígenes hasta hoy. Barcelona: Editorial Lunwerg.
(18) Falconer, K. J. (1990). Fractal Geometry, Mathematical Foundations and Applications. Chichester : John Willey. PMCid:PMC462324
(19) Ostwald, M., Vaughan, J. (2012). Significant Lines: Measuring and Representing Architecture for Computational Analysis. En 46th Conference of Architectural Science Association, ANZAScA 2012. Griffith University.
(20) Garrido, J.M. (1983). Documentación de la Catedral de Burgos. (pp. 804-1183). Burgos: Fuentes medievales castellanoleonesas.
(21) Álvarez-Alonso, M, Cámara-Gómez, A., Alonso-Álvarez, M. D.: (1991). Levantamiento planimétrico de la catedral de Ávila. Informes de la construcción, 43(416): 29-37.
(22) Puente, R. (1975). La Catedral de Santa María de León. León: Imprenta Moderna.
(23) Bonet, M. (1957). La Catedral de Barcelona. Barcelona: Escudo Oro SA y Archivo Diocesano de Barcelona.
(24) Nadal, J. F. (2002). La Catedral de Girona. Girona: Lunwerg Editores.
(25) Bassegoda, J. (1987). Guia de Santa Maria de la Mar. Barcelona: Caixa de Barcelona.
(26) Colombier, P. (1973). Les chantiers des cathedrales. París: Editorial Picard.
(27) Kurmann, P. (1987). La façade de la cathédrale de reims. París : Éditions du CNRS. PMid:3662021
(28) Murray, S. (1996). Notre dame, Cathedral of Amiens. Cambridge: Cambridge University Press.
(29) Recht, R. (1971). La cathedrale de Strasbourg. Stuttgart: Editions Mu.ller &Schindler.
(30) Wolff, A. (1986). Der gotische Dom in Köln. Köln: Vista point.
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