Abstract
A (2-dimensional) double convex body 2K is a surface homeomorphic to the sphere consisting of two planar isometric compact convex bodies, K and K��, with boundaries glued in the obvious way. In this note we prove that, if K admits two perpendicular axes of symmetry and bdK satis es a certain curvature condition, then 2K admits an acute triangulation of size 72. In particular, each double ellipse admits such a triangulation.
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