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Acute Triangulations of Trapezoids and Pentagons

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  • Maddalena Cavicchioli

Abstract

An acute triangulation of a polygon is a triangulation whose triangles have all their angles less than . 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).

Suggested Citation

  • Maddalena Cavicchioli, 2013. "Acute Triangulations of Trapezoids and Pentagons," Journal of Mathematics, Hindawi, vol. 2013, pages 1-5, March.
    • Handle: RePEc:hin:jjmath:747128
    DOI: 10.1155/2013/747128
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