Profiles of Inflated Surfaces
نویسنده
چکیده
We study the shape of inflated surfaces introduced in [B1] and [P1]. More precisely, we analyze profiles of surfaces obtained by inflating a convex polyhedron, or more generally an almost everywhere flat surface, with a symmetry plane. We show that such profiles are in a one-parameter family of curves which we describe explicitly as the solutions of a certain differential equation.
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