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arXiv · 2201.12452

Unfolding Orthotubes with a Dual Hamiltonian Path

Erik D. Demaine·Kritkorn Karntikoon
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Abstract

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: a 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.

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Erik D. Demaine, Kritkorn Karntikoon. 2022-01-28. Unfolding Orthotubes with a Dual Hamiltonian Path. https://arxiv.org/abs/2201.12452

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