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A detail shape grammar. Using Alberti's column system rules to evaluate the longitudinal elevation of the nave of Sant'Andrea church generation

Published online by Cambridge University Press:  03 April 2018

Pedro Filipe Coutinho Cabral D'Oliveira Quaresma*
Affiliation:
Universidade Lusófona de Humanidades e Tecnologias (ULHT) Laboratório Experimental de Arquitectura e Urbanismo (LEAU) from ULHT, and at the Centro de Investigação de Arquitectura, Urbanismo e Design (CIAUD), Faculdade de Arquitectura da Universidade de Lisboa, Lisboa, Portugal
*
Author for correspondence: Pedro Filipe Coutinho Cabral D'Oliveira Quaresma, E-mail: filipecq1@gmail.com

Abstract

This paper shows the way Leon Battista Alberti treatise De Re Aedificatoria column systematization shape grammar was built, and how the longitudinal elevation of the nave of the Sant'Andrea church was designed, evidencing some steps involved in the grammar construction process, its derivation, and the partial outputs gained from the grammar evaluation. The goal of this grammar is to infer Alberti's treatise rules through a computational approach evidencing its algorithmic nature, illustrating it, and understanding the De Re Aedificatoria rules that may be applied in the generation of some parts of buildings such as the Sant'Andrea church, showing a complementary method to archaeological, bibliographical, historical ones, among others, that have been used to understand the built environment. The rules provided by the grammar may be applied to an initial insertion point to produce a complete column and to a pre-existing plan or section element of a building generating its facade. It was proved, evaluating the grammar with a simple linear regression method, to what extent the treatise influenced the design of the facade in the study.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2018 

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References

Alberti, LB (1988) On the Art of Building. Cambridge, Massachusetts: MIT Press.Google Scholar
Alberti, LB (2011) Da Arte Edificatória. Lisboa: Fundação Calouste Gulbenkian.Google Scholar
Bryman, A and Cramer, D (eds) (1992) Análise de dados em ciências sociais: introdução às técnicas utilizando o SPSS. Oeiras: Celta Editora.Google Scholar
Carvalho, H (2008) Análise Multivariada de Dados Qualitativos Utilização da Análise de Correspondências Múltiplas com o SPSS. Lisboa: Ediçôes Silabo.Google Scholar
Coutinho, F, Castro e Costa, E, Duarte, JP and Kruger, M (2011) Interpreting De Re Aedificatoria – a shape grammars of the orders system. In Proceedings of International Conference Eccade, 2011, Ljubliana, Slovenia, pp. 788798.Google Scholar
Coutinho, F, Duarte, JP and Krüger, M (2013 a) Digital fabrication and rapid prototyping as a generative process. In Bártolo, MH, Bártolo, P, Alves, N, Mateus, N, Almeida, H, Lemos, A, Craveiro, F, Reis, C, Reis, I, Durão, L, Ferreira, T, Duarte, JP, Roseta, F, Castro e Costa, E, Quaresma, F and Neves, JP (eds). Proceedings of the 2nd Sustainable Intelligent Manufacturing, SIM 2013, Lisboa: Portugal, June 26–29, 2013, pp. 509512.Google Scholar
Coutinho, F, Mateus, L, Duarte, JP, Ferreira, V and Krüger, M (2013 b) From point cloud to shape grammar to grammatical transformations. In Stouffs, R and Sariyildiz, S (eds). Computation and Performance – Proceedings of the 31st eCAADe Conference – Vol. 2. Delft, Holanda: Faculty of Architecture, Delft University of Technology, 18–20 Setembro 2013, pp. 655663.Google Scholar
Frommel, L (2007) La colonna nella teoria e nelle architetture di Alberti. In Calzona, A (ed.). Leon Battista Alberti: teorico delle arti e gli impegni civili del “De Re Aedificatoria”. Ingenium, no 9. Florença: Olschki, pp. 695725.Google Scholar
Knight, T (1994) Transformations in Design: A Formal Approach to Stylistic Change and Innovation in the Visual Arts. Cambridge: Cambridge University Press.Google Scholar
Knight, T (2003) Computing with emergence. Environment and Planning B 30, 125155.Google Scholar
Kruger, M, Duarte, J and Coutinho, F (2011) Decoding De Re Aedificatoria: using grammars to trace Alberti's influence on Portuguese classical architecture. Nexus Network Journal 13(1), 171182.Google Scholar
Li, A (2001) A shape grammar for teaching the architectural style of the Yingzao Fashi. PhD Thesis, Massachusetts Institute of Technology, USA.Google Scholar
March, L (1998) Architectonics of Humanism: Essays on Number in Architecture. New York: John Wiley.Google Scholar
Stiny, G (1981) A note on the description of designs. Environment and Planning B: Planning and Design 8, 257267.Google Scholar
Stiny, G and Gips, J (1972) Shape grammars and the generative specification of painting and sculpture. In Freiman, CV (ed.). Information Processing 71. Amsterdam: North-Holland, pp. 14601465. Published in Petrocelli, O.R. (ed.) (1972), pp. 125–135. Philadelphia: Auerbach.Google Scholar
Tavernor, R (1998) On Alberti and the Art of Building. New Haven: Yale University Press.Google Scholar