pow:problem2s24
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| pow:problem2s24 [2024/02/19 04:32] – created mazur | pow:problem2s24 [2024/03/08 08:04] (current) – mazur | ||
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| + | <box 85% round orange|Problem 2 (due Monday, February 17) > | ||
| + | Let $d(n)$ be the smallest number such that among any $d(n)$ points inside a regular $n$-gon with side of length 1 | ||
| + | there are two points whose distance from each other is at most 1. Prove that | ||
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| + | (a) $d(n)=n$ for $4\leq n\leq 6$. | ||
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| + | (b) $\displaystyle \lim_{n\to \infty} \frac{d(n)}{n}=\infty $. | ||
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| + | </ | ||
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| + | For a complete solution see the following link {{: | ||