Unfolding Orthogonal Terrains

Details Unfolding Orthogonal Terrains Unfolding Orthogonal Terrains

2007-07-04

arxiv.org/abs/0707.0610v4

Computer Science

Computational Geometry

7 pages, 7 figures, 5 references. First revision adds Figure 7, and improves Figure 6. Second revision further improves Figure

Scientific paper

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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