Erik Demaine's Folding and Unfolding:

Folding Polygons into Polytopes

Erik Demaine, Martin Demaine, Anna Lubiw, and Joseph O'Rourke

The basic problem we have been studying is in what ways a polygonal piece of paper can have its boundary glued to itself and then be folded to form a convex polyhedron. This line of research was initiated in the paper ``When Does a Polygon Fold to a Polytope?'' by Anna Lubiw and Joseph O'Rourke. The problem is also intrinsically related to Aleksandrov's theorem, which gives a simple characterization of what gluings lead to convex polyhedra, and says that a gluing can lead to only one convex polyhedron.

For more information on our work, see

More information to come soon.

Last updated November 28, 2010 by Erik Demaine.