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id caadria2020_304
authors Fischer, Thomas and Wortmann, Thomas
year 2020
title From Geometrically to Algebraically Described Hyperbolic Paraboloids - An optimisation-based analysis of the Philips Pavilion
source D. Holzer, W. Nakapan, A. Globa, I. Koh (eds.), RE: Anthropocene, Design in the Age of Humans - Proceedings of the 25th CAADRIA Conference - Volume 1, Chulalongkorn University, Bangkok, Thailand, 5-6 August 2020, pp. 435-444
summary In this paper, we present a procedure to derive algebraic parameters from geometrically described truncated hyperbolic paraboloid surfaces. The procedure uses parametric modelling and optimisation to converge on close algebraic approximations of hyperbolic paraboloid geometry through a successive breakdown of vast search spaces. We illustrate this procedure with its application to the surfaces of the 1958 Philips Pavilion designed by Le Corbusier and Iannis Xenakis. This application yielded previously unavailable parametric data of this building in algebraic form. It highlights the power of the parametric design and optimisation toolkit, both in terms of automated search and epistemological enablement.
keywords parametric analysis; optimisation; ruled surfaces; hyperbolic paraboloid; geometry reconstruction
series CAADRIA
email thomas.fischer@xjtlu.edu.cn
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