Paper by Erik D. Demaine
- Hugo A. Akitaya, Kenneth C. Cheung, Erik D. Demaine, Takashi Horiyama, Thomas C. Hull, Jason S. Ku, Tomohiro Tachi, and Ryuhei Uehara, “Box pleating is hard”, in Revised Papers from the 18th Japan Conference on Discrete and Computational Geometry and Graphs (JCDCGG 2015), Lecture Notes in Computer Science, volume 9943, Kyoto, Japan, September 14–16, 2015, pages 167–179.
Flat foldability of general crease patterns was first claimed to be hard for
over twenty years. In this paper we prove that deciding flat foldability
remains NP-complete even for box pleating, where creases form a subset of a
square grid with diagonals. In addition, we provide new terminology to
implicitly represent the global layer order of a flat folding, and present a
new planar reduction framework for grid-aligned gadgets.
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- Related papers:
- BoxPleatingHard_JCDCGG2015 (Box pleating is hard)
See also other papers by Erik Demaine.
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