Conference paper Open Access

Animated Motions of Exceptional Flexible Instances of Generically Rigid Graphs

Grasegger, Georg; Legerský, Jan; Schicho, Josef


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  <identifier identifierType="DOI">10.5281/zenodo.3518805</identifier>
  <creators>
    <creator>
      <creatorName>Grasegger, Georg</creatorName>
      <givenName>Georg</givenName>
      <familyName>Grasegger</familyName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0001-7421-8115</nameIdentifier>
      <affiliation>Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences</affiliation>
    </creator>
    <creator>
      <creatorName>Legerský, Jan</creatorName>
      <givenName>Jan</givenName>
      <familyName>Legerský</familyName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0002-8122-668X</nameIdentifier>
      <affiliation>Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz</affiliation>
    </creator>
    <creator>
      <creatorName>Schicho, Josef</creatorName>
      <givenName>Josef</givenName>
      <familyName>Schicho</familyName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0002-5556-4001</nameIdentifier>
      <affiliation>Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Animated Motions of Exceptional Flexible Instances of Generically Rigid Graphs</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2019</publicationYear>
  <subjects>
    <subject>Rigid Graph</subject>
    <subject>Flexible Instance</subject>
  </subjects>
  <dates>
    <date dateType="Issued">2019-06-27</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Conference paper</resourceType>
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    <alternateIdentifier alternateIdentifierType="url">https://zenodo.org/record/3518805</alternateIdentifier>
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    <relatedIdentifier relatedIdentifierType="ISBN" relationType="IsPartOf" resourceTypeGeneral="Text">978-1-938664-30-4</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="ISSN" relationType="IsPartOf">1099-6702</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.5281/zenodo.3518804</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="https://creativecommons.org/licenses/by-nc/4.0/legalcode">Creative Commons Attribution Non Commercial 4.0 International</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;In this paper we use a recent algorithm for finding flexible realizations of graphs. In particular we consider generically rigid graphs that have special non-generic instances in which edge lengths can be found such that we get a continuous motion. The graphs we present have a symmetric structure and allow flexible unit distance realizations.&lt;/p&gt;</description>
    <description descriptionType="Other">This entry contains the paper (see below the preview) and animations in svg file format collected in a zip file.&lt;p&gt;&lt;/p&gt;&lt;p&gt;

Original publication available at https://archive.bridgesmathart.org/2019/bridges2019-255.html&lt;/p&gt;</description>
  </descriptions>
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      <awardTitle>The Algebra of Motions in 3-Space</awardTitle>
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      <awardTitle>Realizations of Rigid Graphs</awardTitle>
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    <fundingReference>
      <funderName>European Commission</funderName>
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      <awardTitle>Algebraic Representations in Computer-Aided Design for complEx Shapes</awardTitle>
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