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Source Unfoldings of Convex Polyhedra via Certain Closed Curves

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 نشر من قبل Joseph O'Rourke
 تاريخ النشر 2012
  مجال البحث الهندسة المعلوماتية
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We extend the notion of a source unfolding of a convex polyhedron P to be based on a closed polygonal curve Q in a particular class rather than based on a point. The class requires that Q lives on a cone to both sides; it includes simple, closed quasigeodesics. Cutting a particular subset of the cut locus of Q (in P) leads to a non-overlapping unfolding of the polyhedron. This gives a new general method to unfold the surface of any convex polyhedron to a simple, planar polygon.



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