An acute triangulation of a polygon is a triangulation whose triangles have all their angles less than pi/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).
Acute Triangulations of Trapezoids and Pentagons / Cavicchioli, Maddalena. - In: JOURNAL OF MATHEMATICS. - ISSN 2314-4785. - STAMPA. - 2013:(2013), pp. 1-5. [10.1155/2013/747128]
Acute Triangulations of Trapezoids and Pentagons
CAVICCHIOLI, MADDALENA
2013
Abstract
An acute triangulation of a polygon is a triangulation whose triangles have all their angles less than pi/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).
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