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Abstract:
We've all seen them before: paper or cardboard cutouts that
you're supposed to glue to form convex polyhedra. Just how did
anyone figure out how to make them? Given a convex polyhedron,
does there always exist a cutout that works? Come hear some
surprising answers about what we know and what we don't know;
find out about unfolding, squashing, and otherwise laying
polyhedra flat. Lots of it works in higher dimensions, but
it's all interesting in our own three spatial dimensions, too. |