Acute Triangulations of Trapezoids and Pentagons. (18th March 2013)

• Record Type: Journal Article
• Authors: Cavicchioli, Maddalena
• Other Names: Gómez-Corral Antonio Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2013(2013)
• Publication Date: 2013-03-18
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2013/747128
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : An acute triangulation of a polygon is a triangulation whose triangles have all their angles less than π / 2 . The number of triangles in a triangulation is called the size of it. In this paper, we investigate acute triangulations of trapezoids and convex pentagons and prove new results about such triangulations with minimum size. This completes and improves in some cases the results obtained in two papers of Yuan (2010).