Unfolding Orthogonal Terrains

It is shown that every orthogonal terrain, i.e., an orthogonal (rightangled) 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.

• Type: Journal
• Year: 2007
• Where: CORR
• Authors: Joseph O'Rourke
• Keywords: CORR 2007, Education, Orthogonal Terrain, Single Non-overlapping Piece, Vertical Line