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Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

2008

Smith College

Polyhedron

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Full-Text Articles in Mathematics

Unfolding Manhattan Towers, Mirela Damian, Robin Flatland, Joseph O'Rourke Jul 2008

Unfolding Manhattan Towers, Mirela Damian, Robin Flatland, Joseph O'Rourke

Computer Science: Faculty Publications

We provide an algorithm for unfolding the surface of any orthogonal polyhedron that falls into a particular shape class we call Manhattan Towers, to a nonoverlapping planar orthogonal polygon. The algorithm cuts along edges of a 4×5×1 refinement of the vertex grid.