| 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 |
| doi |
https://doi.org/10.52842/conf.caadria.2020.1.435
|
| 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 |
|
| full text |
 file.pdf (2,266,871 bytes) |
| references |
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