A note on Erd\H{o}s's mysterious remark
| Autor: | Kovács, Zoltán |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We give an alternative proof of the statement, by using elimination from algebraic geometry, that the only set $S\subset\mathbb{R}^2$, $\left|S\right|=6$ such that all subsets that form a triangle are isosceles triangles, is the regular pentagon with its center. Our proof can be extended to answer some related questions raised by Erd\H{o}s. Comment: 7 pages, 3 figures |
| Databáze: | arXiv |
| Externí odkaz: |
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