Acute triangulations of double planar convex bodies

• Autores: Liping Yuan, Tudor I. Zamfirescu
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 81, Fasc. 1-2, 2012, págs. 121-126
• Idioma: inglés
• DOI: 10.5486/pmd.2012.5097
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• Resumen

  • 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.