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Lecture 16: Vertex & Orthogonal Unfolding
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MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This lecture continues with open problems involving general unfoldings of polyhedra and proof of vertex unfolding using construction of facet-paths. Approaches for unfolding orthogonal polyhedra, grid unfolding, and folding convex polyhedra are presented. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Теги:
vertex unfolding facet-path Euler tour orthogonal polyhedra genus band orientation grid grid unfolding Manhattan tower orthogonal terrain orthostacks orthotubes gluing Cauchy Rigid Theorem spherical polygon Cauchy's Arm Lemma counting
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