Algebraic Expansions: Broadening the Scope of Architectural Design through Algebraic Surfaces
Identifieur interne : 000188 ( Istex/Corpus ); précédent : 000187; suivant : 000189Algebraic Expansions: Broadening the Scope of Architectural Design through Algebraic Surfaces
Auteurs : Günter Barczik ; Daniel Lordick ; Oliver LabsSource :
Abstract
Introduction: An Expanded Architectural Design Vocabulary: We conduct a design research project that radicalizes the relationship between tools and design possibilities: we significantly expand the architectural design vocabulary by employing mathematics and computer science as vehicles for accessing shapes that otherwise would be unthinkable: algebraic surfaces, the zero-sets of certain polynomials. Algebraic surfaces can exhibit geometric features that cannot - or have so far not - be found in nature: puzzling convolutions in which complex geometry and topology combine with high degrees of tautness, harmony and coherence (Fig.1). Albeit mostly curved, they can contain straight lines and any number of plane curves (Fig.1, 1-3). They also look different from every direction, a quality we propose to call polyoptical from the Greek for an object with many faces. Having been studied in mathematics for the last two centuries they became accessible for designers only recently via advances in computer technology. This means a cambrian explosion of shapes, a whole zoo of new exotic shapes.
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DOI: 10.1007/978-3-642-23435-4_2
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Algebraic surfaces can exhibit geometric features that cannot - or have so far not - be found in nature: puzzling convolutions in which complex geometry and topology combine with high degrees of tautness, harmony and coherence (Fig.1). Albeit mostly curved, they can contain straight lines and any number of plane curves (Fig.1, 1-3). They also look different from every direction, a quality we propose to call polyoptical from the Greek for an object with many faces. Having been studied in mathematics for the last two centuries they became accessible for designers only recently via advances in computer technology. 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Algebraic surfaces can exhibit geometric features that cannot - or have so far not - be found in nature: puzzling convolutions in which complex geometry and topology combine with high degrees of tautness, harmony and coherence (Fig.1). Albeit mostly curved, they can contain straight lines and any number of plane curves (Fig.1, 1-3). They also look different from every direction, a quality we propose to call polyoptical from the Greek for an object with many faces. Having been studied in mathematics for the last two centuries they became accessible for designers only recently via advances in computer technology. 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ID="Aff7"><OrgDivision>Institute of Geometry</OrgDivision><OrgName>University of Technology Dresden</OrgName><OrgAddress><Country>Germany</Country></OrgAddress></Affiliation><Affiliation ID="Aff8"><OrgDivision>Mathematics and its Didactics</OrgDivision><OrgName>Cologne University</OrgName><OrgAddress><Country>Germany</Country></OrgAddress></Affiliation><Affiliation ID="Aff9"><OrgDivision>Institute for Mathematics and Computer Science</OrgDivision><OrgName>Saarbrücken University</OrgName><OrgAddress><Country>Germany</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En"><Heading>Introduction: An Expanded Architectural Design Vocabulary</Heading><Para>We conduct a design research project that radicalizes the relationship between tools and design possibilities: we significantly expand the architectural design vocabulary by employing mathematics and computer science as vehicles for accessing shapes that otherwise would be unthinkable: algebraic surfaces, the zero-sets of certain polynomials.</Para><Para>Algebraic surfaces can exhibit geometric features that cannot - or have so far not - be found in nature: puzzling convolutions in which complex geometry and topology combine with high degrees of tautness, harmony and coherence (Fig.1). Albeit mostly curved, they can contain straight lines and any number of plane curves (Fig.1, 1-3). They also look different from every direction, a quality we propose to call polyoptical from the Greek for an object with many faces. Having been studied in mathematics for the last two centuries they became accessible for designers only recently via advances in computer technology. This means a cambrian explosion of shapes, a whole zoo of new exotic shapes.</Para></Abstract></ChapterHeader><NoBody></NoBody></Chapter></Part></Book></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Algebraic Expansions: Broadening the Scope of Architectural Design through Algebraic Surfaces</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>Algebraic Expansions: Broadening the Scope of Architectural Design through Algebraic Surfaces</title></titleInfo><name type="personal"><namePart type="given">Günter</namePart><namePart type="family">Barczik</namePart><affiliation>Brandenburg Technical University, Cottbus, Germany</affiliation><affiliation>HMGB architects, Berlin, Germany</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Daniel</namePart><namePart type="family">Lordick</namePart><affiliation>Institute of Geometry, University of Technology Dresden, Germany</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Oliver</namePart><namePart type="family">Labs</namePart><affiliation>Mathematics and its Didactics, Cologne University, Germany</affiliation><affiliation>Institute for Mathematics and Computer Science, Saarbrücken University, Germany</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Christoph</namePart><namePart type="family">Gengnagel</namePart><affiliation>Universität der Künste Berlin, Hardenbergstraße 33, 10623, Berlin, Germany</affiliation><affiliation>E-mail: gengnagel@udk-berlin.de</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Axel</namePart><namePart type="family">Kilian</namePart><affiliation>Princeton University, 08544, Princeton, NJ, USA</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Norbert</namePart><namePart type="family">Palz</namePart><affiliation>Universität der Künste Berlin UDK, Hardenbergstraße 33, 10623, Berlin, Gemany</affiliation><affiliation>E-mail: n.palz@udk-berlin.de</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Fabian</namePart><namePart type="family">Scheurer</namePart><affiliation>Designtoproduction GmbH, Seestraße 78, Erlenbach/Zurich, Switzerland</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><typeOfResource>text</typeOfResource><genre displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" type="research-article" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre><originInfo><publisher>Springer Berlin Heidelberg</publisher><place><placeTerm type="text">Berlin, Heidelberg</placeTerm></place><dateIssued encoding="w3cdtf">2011</dateIssued><dateIssued encoding="w3cdtf">2012</dateIssued><copyrightDate encoding="w3cdtf">2011</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">Introduction: An Expanded Architectural Design Vocabulary: We conduct a design research project that radicalizes the relationship between tools and design possibilities: we significantly expand the architectural design vocabulary by employing mathematics and computer science as vehicles for accessing shapes that otherwise would be unthinkable: algebraic surfaces, the zero-sets of certain polynomials. Algebraic surfaces can exhibit geometric features that cannot - or have so far not - be found in nature: puzzling convolutions in which complex geometry and topology combine with high degrees of tautness, harmony and coherence (Fig.1). Albeit mostly curved, they can contain straight lines and any number of plane curves (Fig.1, 1-3). They also look different from every direction, a quality we propose to call polyoptical from the Greek for an object with many faces. Having been studied in mathematics for the last two centuries they became accessible for designers only recently via advances in computer technology. This means a cambrian explosion of shapes, a whole zoo of new exotic shapes.</abstract><relatedItem type="host"><titleInfo><title>Computational Design Modelling</title><subTitle>Proceedings of the Design Modelling Symposium Berlin 2011</subTitle></titleInfo><name type="personal"><namePart type="given">Christoph</namePart><namePart type="family">Gengnagel</namePart><affiliation>Universität der Künste Berlin, Hardenbergstraße 33, 10623, Berlin, Germany</affiliation><affiliation>E-mail: gengnagel@udk-berlin.de</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Axel</namePart><namePart type="family">Kilian</namePart><affiliation>Princeton University, 08544, Princeton, NJ, USA</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Norbert</namePart><namePart type="family">Palz</namePart><affiliation>Universität der Künste Berlin UDK, Hardenbergstraße 33, 10623, Berlin, Gemany</affiliation><affiliation>E-mail: n.palz@udk-berlin.de</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Fabian</namePart><namePart type="family">Scheurer</namePart><affiliation>Designtoproduction GmbH, Seestraße 78, Erlenbach/Zurich, Switzerland</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><genre type="book" displayLabel="Proceedings" authority="ISTEX" authorityURI="https://publication-type.data.istex.fr" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-5WTPMB5N-F">book</genre><originInfo><publisher>Springer</publisher><copyrightDate encoding="w3cdtf">2012</copyrightDate><issuance>monographic</issuance></originInfo><subject><genre>Book-Subject-Collection</genre><topic authority="SpringerSubjectCodes" authorityURI="SUCO11647">Engineering</topic></subject><subject><genre>Book-Subject-Group</genre><topic authority="SpringerSubjectCodes" authorityURI="T">Engineering</topic><topic authority="SpringerSubjectCodes" authorityURI="T23012">Building Construction</topic><topic authority="SpringerSubjectCodes" authorityURI="K1700X">Basics of Construction</topic><topic authority="SpringerSubjectCodes" authorityURI="I23044">Computer-Aided Engineering (CAD, CAE) and Design</topic><topic authority="SpringerSubjectCodes" authorityURI="T17020">Engineering Design</topic></subject><identifier type="DOI">10.1007/978-3-642-23435-4</identifier><identifier type="ISBN">978-3-642-23434-7</identifier><identifier type="eISBN">978-3-642-23435-4</identifier><identifier type="BookTitleID">271030</identifier><identifier type="BookID">978-3-642-23435-4</identifier><identifier type="BookChapterCount">38</identifier><identifier type="PartChapterCount">8</identifier><part><date>2012</date><detail type="part"><title>Concept, Tool and Design Strategies</title></detail><extent unit="pages"><start>9</start><end>16</end></extent></part><recordInfo><recordOrigin>Springer-Verlag GmbH Berlin Heidelberg, 2012</recordOrigin></recordInfo></relatedItem><identifier type="istex">42043814F90F6B145AFF7E6F7BE995161D8EF362</identifier><identifier type="ark">ark:/67375/HCB-QTK0JZ6S-D</identifier><identifier type="DOI">10.1007/978-3-642-23435-4_2</identifier><identifier type="ChapterID">2</identifier><identifier type="ChapterID">Chap2</identifier><accessCondition type="use and reproduction" contentType="copyright">Springer-Verlag GmbH Berlin Heidelberg, 2011</accessCondition><recordInfo><recordContentSource authority="ISTEX" authorityURI="https://loaded-corpus.data.istex.fr" valueURI="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-3XSW68JL-F">springer</recordContentSource><recordOrigin>Springer-Verlag Berlin Heidelberg, 2011</recordOrigin></recordInfo></mods><json:item><extension>json</extension><original>false</original><mimetype>application/json</mimetype><uri>https://api.istex.fr/document/42043814F90F6B145AFF7E6F7BE995161D8EF362/metadata/json</uri></json:item></metadata><annexes><json:item><extension>txt</extension><original>true</original><mimetype>text/plain</mimetype><uri>https://api.istex.fr/document/42043814F90F6B145AFF7E6F7BE995161D8EF362/annexes/txt</uri></json:item></annexes><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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