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arXiv · 0707.0610

Unfolding Orthogonal Terrains

Joseph O'Rourke
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Abstract

It is shown that every orthogonal terrain, i.e., an orthogonal (right-angled) polyhedron based on a rectangle that meets every vertical line in a segment, has a grid unfolding: its surface may be unfolded to a single non-overlapping piece by cutting along grid edges defined by coordinate planes through every vertex.

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Joseph O'Rourke. 2007-07-12. Unfolding Orthogonal Terrains. https://arxiv.org/abs/0707.0610

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