Acute Triangulations of Pentagons

作者:Yuan Liping*
来源:Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 2010, 53(4): 393-410.

摘要

An acute triangulation is a triangulation whose triangles have all their angles less than In this paper we prove that i) every planar pentagon can be triangulated into at most 54 acute triangles, and ii) every double pentagon can be triangulated into at most 76 acute triangles.