[+] Polyhedron unfolding: Edge unfoldings, general unfoldings, big questions, curvature, general unfolding of convex polyhedra, source unfolding, star unfolding, edge-unfolding special convex polyhedra, fewest nets, edge-ununfoldable nonconvex polyhedra. |
This lecture begins our coverage of polyhedron (un)folding.
Specifically, we'll talk about how to cut open a polyhedral surface
into one piece without overlap so that that piece can be cut out of
sheet material and assembled into the 3D surface. What distinguishes
this field from origami is that we're not allowed to cover any part
of the surface more than once. Two of the biggest open problems in
geometric folding are here:
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Handwritten notes, page 1/9 •
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Handwritten notes, page 1/9 • [previous page] • [next page] • [PDF] |
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Slides, page 1/36 •
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Edge unfolding vs. general unfolding (figures drawn by Erik Demaine) Slides, page 1/36 • [previous page] • [next page] • [PDF] |
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