%0 Journal Article
%T Profiles of inflated surfaces
%A Igor Pak
%A Jean-Marc Schlenker
%J Mathematics
%D 2009
%I arXiv
%R 10.1142/S140292511000057X
%X We study the shape of inflated surfaces introduced in \cite{B1} and \cite{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.
%U http://arxiv.org/abs/0907.5057v1