CumInCAD is a Cumulative Index about publications in Computer Aided Architectural Design
supported by the sibling associations ACADIA, CAADRIA, eCAADe, SIGraDi, ASCAAD and CAAD futures

id ecaade2009_157
authors Barczik, Günter; Labs, Oliver; Lordick, Daniel
year 2009
title Algebraic Geometry in Architectural Design
source Computation: The New Realm of Architectural Design [27th eCAADe Conference Proceedings / ISBN 978-0-9541183-8-9] Istanbul (Turkey) 16-19 September 2009, pp. 455-464
wos WOS:000334282200055
summary We describe the exploration of the manifold novel shapes found in algebraic geometry and their application in architectural design. These surfaces represent the zero-sets of certain polynomials of varying degrees. They are therefore very structured, coherent and harmonious yet at the same time geometrically and topologically highly complex. Their application in design is mostly unprecedended as they have only recently begun to become accessible through novel software tools. We present and discuss experimental student design and research projects where shapes found in algebraic geometry were developed into pavilion designs. We describe historic precedents for the inspiration of art and architecture through mathematics and show how algebraic surfaces can be used to expand architects’ sculptural vocabulary, make the utmost of three-dimensional sculptural qualities, employ shapes that have a strong internal structure, transcend the imaginable and explore polynomials as a new kind of shape-making tool.
keywords Geometry, algebraic geometry, shape, sculpture, design, tool, experiment, methodology, software
series eCAADe
email gb@hmgb.net, mail@oliverlabs.net, daniel.lordick@tu-dresden.de
full text file.pdf (1,987,416 bytes)
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100%; open Brüderlin, M. (2004) Find in CUMINCAD ArchiSculpture , Exhibition Catalogue
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100%; open Hupasch, V. and Lordick, D. (2008) Find in CUMINCAD Good Vibrations - Geometrie und Kunst , Exhibition Catalogue, Dresden
100%; open Ito, T. (2005) Find in CUMINCAD ‘Toyo Ito /Beyond the Image’ , Architecture + Urbanism #417, Tokyo
100%; open Labs, O. (2003) Find in CUMINCAD Algebraic Surface Homepage. Information,Images, Tools , www.AlgebraicSurface.net
100%; open Labs, O. (2009) Find in CUMINCAD A List of Challenges for Real Algebraic Surface Visualization Software, in preparation ,
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