Thread: Fun easy problem
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Old November 27th, 2008, 09:55 PM
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Default Fun easy problem
Here is a problem I came up with that is extremely easy, but when I posted it on another forum it took a while for someone to answer and the answer was much more complex than what was needed. Let's see if MHF has better mathematicians....I have faith!

Question: Find the largest n in \mathbb{R}^n such that every k-cell (denoted E) has finitely many points p,q\in{E} such that d(q,p)=\text{diam}\left(E\right). Prove that this is the largest n.
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