6.885: Folding and Unfolding in Computational Geometry (Fall 2004)

Prof. Erik Demaine

Lecture 12 -- Page 2 -- 100 DPI

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Lecture 12: Flexible polyhedra, Bellows Theorem; folding polygons into polyhedra, gluings, convex polyhedral metrics, Aleksandrov's Theorem, Sabitov's algorithm, ungluable polygons

Page 2: Folding polygons into convex polyhedra: decision problem, enumeration problem, combinatorial problem. Nonconvex polyhedra. It's all about the gluing: metric induced by shortest paths, polyhedral metrics, convex polyhedral metrics.

These are rough, personal lecture notes handwritten by Erik Demaine used during lecture. Their primary purpose is for reading/review by students of the class. Accessibility

Printable PostScript (requires Level-2 PostScript)

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