| 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 |
| doi |
https://doi.org/10.52842/conf.caadria.2020.1.435
|
| 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 |
Content-type: text/plain
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Burry, J (2011)
 Logic and Intuition in Architectural Modelling: Philosophy of Mathematics for Computational Design
, Ph.D. Thesis, RMIT University
|
|
|
|
|
Burry, MC (2002)
Rapid prototyping
, Automation in Construction, 11(3), p. 313-333
|
|
|
|
|
Burry, MC (2005)
Homo faber
, Architectural Design, 75(4), p. 30-37
|
|
|
|
|
Burry, MC (2011)
Architecture and practical design computation
, Menges, A and Ahlquist, S (eds), Computational Design Thinking, AD Reader, Wiley, Chichester, pp. 102--119
|
|
|
|
|
Fischer, T, Herr, CM, Burry, MC and Frazer, JH (2003)
Tangible interfaces to explain Gaudí's use of ruled-surface geometries
, Automation in Construction, 12(5), p. 467-471
|
|
|
|
|
Fischer, T (2012)
Geometry rationalization for non-standard architecture
, Architecture Science, 5, p. 25-46
|
|
|
|
|
Fischer, T (2019)
Transcomputability, (Glanville's Corollary of) Ashby's Law of Requisite Variety, and epistemic processes
, Kybernetes, 48(4), pp. 793--804
|
|
|
|
|
Pottmann, H, Asperl, A, Hofer, M and Kilian, A (2007)
Architectural Geometry
, Bentley Institute Press, Exton, PA
|
|
|
|
|
Sdegno, A (2012)
Ruled surfaces in Le Corbusier's architectures
, Rossi, M (eds), Descriptive Geometry and Digital Representation: Memory and Innovation, McGraw-Hill, New York, p. 167-175
|
|
|
|
|
Sprague, TS (2013)
Beauty, versatility, practicality: the rise of hyperbolic paraboloids in post-war America (1950-1962)
, Construction History, 28(1), p. 165-184
|
|
|
|
|
Treib, M (1996)
Space Calculated in Seconds. The Philips Pavilion, Le Corbusier, Edgard Var?se
, Princeton University Press, Princeton, NJ
|
|
|
|
|
Wortmann, T (2017)
Opossum. Introducing and evaluating a model-based optimization tool for Grasshopper
, Janssen, P, Loh, P, Raonic, A and Schnabel, MA (eds), Proceedings of the 22nd CAADRIA Conference, XJTLU, Suzhou, p. 283-292
|
|
|
|
|
Xenakis, I (2008)
Music and Architecture: Architectural Projects, Text, and Realizations
, Pendragon Press, Hillsdale, NY
|
|
|
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| last changed |
2022/06/07 07:51 |
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