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

Prof. Erik Demaine

Lecture 7 -- Page 3 -- 150 DPI

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Lecture 7: Fix for proof of Erdős-Nagy Theorem; characterizations of flat-foldable single-vertex crease patterns and mountain-valley patterns; continuous foldability of single-vertex patterns; linear-time algorithm for local foldability; NP-hardness of global foldability

Page 3: Characterization of flat-foldable single-vertex mountain-valley patterns: Maekawa's Theorem, Kawasaki's Second Theorem, Hull's generalization, counting and decision algorithms

Tom Hull's papers on The Combinatorics of Flat Folds: a Survey and Counting Mountain-Valley Assignments for Flat Folds cover several of these results.

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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