Acute triangulations of double planar convex bodies

作者:Yuan Liping*; Zamfirescu Tudor
来源:Publicationes Mathematicae-Debrecen, 2012, 81(1-2): 121-126.
DOI:10.5486/PMD.2012.5097

摘要

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 satisfies 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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