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December 30th, 2010, 11:46 PM   #1
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colored hexagon =)

The points of the surface delimited by a regular hexagon of length side 1 are colored in 6 colors.
Prove that there are two points of the same color situated at distance at least 1 ....


How can we prove in this kind of q?u
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January 1st, 2011, 04:15 PM   #2
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Re: colored hexagon =)

I would recommend starting at one corner, and call it color A.

Did you know that a regular hexagon can be decomposed into 6 equilateral triangles?
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