Paper by Erik D. Demaine
- Erik D. Demaine and Kritkorn Karntikoon, “Unfolding Orthotubes with a Dual Hamiltonian Path”, in Abstracts from the 23rd Thailand-Japan Conference on Discrete and Computational Geometry, Graphs, and Games (TJCDCGGG 2021), September 3–5, 2021, pages 24–25.
An orthotube consists of orthogonal boxes (e.g., unit cubes) glued
face-to-face to form a path. In 1998, Biedl et al. showed that every
orthotube has a grid unfolding: cutting along edges of the boxes so
that the surface unfolds into a connected planar shape without overlap. We
give a new algorithmic grid unfolding of orthotubes with the additional
property that the rectangular faces are attached in a single path — a
Hamiltonian path on the rectangular faces of the orthotube surface.
- The full paper is available as arXiv:2201.12452.
- The abstract is available in PDF (301k).
- See information on file formats.
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- Related papers:
- HamTube_TJM (Unfolding Orthotubes with a Dual Hamiltonian Path)
See also other papers by Erik Demaine.
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