Paper by Martin L. Demaine

Zachary Abel, Erik D. Demaine, Martin L. Demaine, Takashi Horiyama, and Ryuhei Uehara, “Computational Complexity of Piano-Hinged Dissections”, in Abstracts from the 29th European Workshop on Computational Geometry (EuroCG 2013), Braunschweig, Germany, March 17–20, 2013, pages 147–150.

We prove NP-completeness of deciding whether a given loop of colored right isosceles triangles, hinged together at edges, can be folded into a specified rectangular three-color pattern. By contrast, the same problem becomes polynomially solvable with one color or when the target shape is a tree-shaped polyomino.

This abstract is also available from JAIST DSPACE.

The abstract is 4 pages.

The abstract is available in PDF (1208k).
See information on file formats.
[Google Scholar search]

Related papers:
PianoHinged_IEICE (Computational Complexity of Piano-Hinged Dissections)

See also other papers by Martin Demaine.
These pages are generated automagically from a BibTeX file.
Last updated November 17, 2022 by Martin Demaine.