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Un-unzippable Convex Caps

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 نشر من قبل Joseph O'Rourke
 تاريخ النشر 2018
  مجال البحث الهندسة المعلوماتية
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 تأليف Joseph ORourke




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An unzipping of a polyhedron P is a cut-path through its vertices that unfolds P to a non-overlapping shape in the plane. It is an open problem to decide if every convex P has an unzipping. Here we show that there are nearly flat convex caps that have no unzipping. A convex cap is a top portion of a convex polyhedron; it has a boundary, i.e., it is not closed by a base.



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