Acute Triangulations of Trapezoids and Pentagons
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 triangu...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/747128 |
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| _version_ | 1832564218104119296 |
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| author | Maddalena Cavicchioli |
| author_facet | Maddalena Cavicchioli |
| author_sort | Maddalena Cavicchioli |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-b4357ea5d5174d638bb2d362f9288656 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b4357ea5d5174d638bb2d362f92886562025-02-03T01:11:38ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/747128747128Acute Triangulations of Trapezoids and PentagonsMaddalena Cavicchioli0Department of Economics, University of Venice “Cá Foscari”, San Giobbe, Cannaregio 873, 30121 Venice, ItalyAn 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).http://dx.doi.org/10.1155/2013/747128 |
| spellingShingle | Maddalena Cavicchioli Acute Triangulations of Trapezoids and Pentagons Journal of Mathematics |
| title | Acute Triangulations of Trapezoids and Pentagons |
| title_full | Acute Triangulations of Trapezoids and Pentagons |
| title_fullStr | Acute Triangulations of Trapezoids and Pentagons |
| title_full_unstemmed | Acute Triangulations of Trapezoids and Pentagons |
| title_short | Acute Triangulations of Trapezoids and Pentagons |
| title_sort | acute triangulations of trapezoids and pentagons |
| url | http://dx.doi.org/10.1155/2013/747128 |
| work_keys_str_mv | AT maddalenacavicchioli acutetriangulationsoftrapezoidsandpentagons |