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  <doc>
    <id>905</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2006-03-02</completedDate>
    <publishedDate>2006-03-02</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Polyhedra of Genus 2 with 10 Vertices and Minimal Coordinates</title>
    <abstract language="eng">We give coordinate-minimal geometric realizations in general position of all 865 vertex-minimal triangulations of the orientable surface of genus 2 in the 4x4x4-cube.</abstract>
    <identifier type="serial">06-12</identifier>
    <identifier type="opus3-id">906</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-9054</identifier>
    <enrichment key="SourceTitle">Appeared in: Electronic Geometry Models, No. 2005.08.001 (2007). http://www.eg-models.de/2005.08.001/</enrichment>
    <author>Stefan Hougardy</author>
    <author>Frank H. Lutz</author>
    <author>Mariano Zelke</author>
    <series>
      <title>ZIB-Report</title>
      <number>06-12</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>triangulated surfaces</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>minimal triangulations</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>polyhedral realizations</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="52B70">Polyhedral manifolds</collection>
    <collection role="msc" number="57Q15">Triangulating manifolds</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/905/ZR-06-12.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/905/ZR-06-12.ps</file>
  </doc>
  <doc>
    <id>906</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2006-03-02</completedDate>
    <publishedDate>2006-03-02</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Polyhedra of Genus 3 with 10 Vertices and Minimal Coordinates</title>
    <abstract language="eng">We give coordinate-minimal geometric realizations in general position for 17 of the 20 vertex-minimal triangulations of the orientable surface of genus 3 in the 5x5x5-cube.</abstract>
    <identifier type="serial">06-13</identifier>
    <identifier type="opus3-id">907</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-9064</identifier>
    <enrichment key="SourceTitle">Appeared in: Electronic Geometry Models, No. 2006.02.001 (2007). http://www.eg-models.de/2006.02.001/</enrichment>
    <author>Stefan Hougardy</author>
    <author>Frank H. Lutz</author>
    <author>Mariano Zelke</author>
    <series>
      <title>ZIB-Report</title>
      <number>06-13</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>triangulated surfaces</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>minimal triangulations</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>polyhedral realizations</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="52B70">Polyhedral manifolds</collection>
    <collection role="msc" number="57Q15">Triangulating manifolds</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/906/ZR-06-13.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/906/ZR-06-13.ps</file>
  </doc>
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