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 9780954118389] Istanbul (Turkey) 1619 September 2009, pp. 455464 
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 zerosets 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 threedimensional sculptural qualities, employ shapes that have a strong internal structure, transcend the imaginable and explore polynomials as a new kind of shapemaking tool. 
keywords 
Geometry, algebraic geometry, shape, sculpture, design, tool, experiment, methodology, software 
series 
eCAADe 
email 
gb@hmgb.net, mail@oliverlabs.net, daniel.lordick@tudresden.de 
full text 
file.pdf (1,987,416 bytes) 
references 
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last changed 
2016/05/16 09:08 
