Acute triangulations of convex quadrilaterals (Q423942)
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scientific article; zbMATH DE number 6039493
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Acute triangulations of convex quadrilaterals |
scientific article; zbMATH DE number 6039493 |
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Acute triangulations of convex quadrilaterals (English)
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30 May 2012
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acute triangulation
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convex quadrilateral
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planar straight-line graph
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An acute triangulation of a polygon \(P\) is a triangulation of \(P\) into acute triangles. Let \(f(P)\) be the minimum number of triangles necessary for an acute triangulation of \(P\).NEWLINENEWLINESolving a problem raised by \textit{H. Maehara} [Lect. Notes Comput. Sci. 2098, 237--243 (2001; Zbl 0998.52005)], the author proves that the maximum value of \(f(Q)\) for all convex quadrilaterals \(Q\) is equal to 8.
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