Paper by Erik D. Demaine
- Erik D. Demaine, Martin L. Demaine, Andrea Hawksley, Hiro Ito, Po-Ru Loh, Shelly Manber, and Omari Stephens, “Making Polygons by Simple Folds and One Straight Cut”, in Abstracts from the China-Japan Joint Conference on Computational Geometry, Graphs and Applications (CGGA 2010), Dalian, China, November 3–6, 2010, to appear.
We give an efficient algorithmic characterization of simple polygons whose
edges can be aligned onto a common line, with nothing else on that line, by a
sequence of all-layers simple folds. In particular, such alignments enable the
cutting out of the polygon and its complement with one complete straight cut.
We also show that these makable polygons include all convex polygons
possessing a line of symmetry.
- The abstract is available in PDF (112k).
- See information on file formats.
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- Related papers:
- SimpleFoldCut_CGGA2010full (Making Polygons by Simple Folds and One Straight Cut)
- Related webpages:
- Simple Fold & Cut Font
See also other papers by Erik Demaine.
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Last updated February 24, 2021 by