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Recognizing Simply Foldable Origami  (Make Corrections)  
Esther M. Arkin, Michael A. Bender, Erik D. Demaine, Martin L. Demaine, Joseph S. B. Mitchell, Saurabh Sethia, Steven S. Skiena



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Abstract: We explore the following problem: given a collection of creases on a piece of paper, each assigned a folding direction of mountain or valley, is there a flat folding by a sequence of simple folds? There are several models of simple folds; the simplest one-layer simple fold rotates a portion of paper about a crease in the paper by \Sigma180 . We first consider the analogous questions in one dimension lower---bending a segment into a flat object---which lead to interesting problems on strings. ... (Update)

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BibTeX entry:   (Update)

@misc{ arkin-recognizing,
  author = "Esther M. Arkin and Michael A. Bender and Erik D. Demaine and Martin L.
    Demaine and Joseph S. B. Mitchell and Saurabh Sethia and Steven S. Skiena",
  title = "Recognizing Simply Foldable Origami",
  url = "citeseer.ist.psu.edu/553014.html" }
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