Some extremal problems in geometry (Q5921349)
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scientific article; zbMATH DE number 3348112
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some extremal problems in geometry |
scientific article; zbMATH DE number 3348112 |
Statements
Some extremal problems in geometry (English)
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1971
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The authors investigate several geometrical problems of a combinatorial flavour. Let be given \(n\) points in the plane. Then they determine at most \(4n^{5/2}\) triangles which have the same non-zero area. On the other hand one can find \(n\) points in the plane which determine \(cn^2 \log\log n\) triangles having the same non zero area. Several other related results are proved and many unsolved problems are stated.
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