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Between six towns
Posted 10 April 2013 - 11:18 PM
There is a proof that i have that show's that it should be possible but what you present is something that i reference in my proof as well.
Posted 11 April 2013 - 08:17 AM
A post on red hot pawn, where this problem was discussed a few years back, makes this claim:
I agree with this reasoning for some sufficiently large number of points in the plane. However, I am not sure how this translates to, say, the initial problem of 6 points in the plane. I do not really know the answer yet. The best I have come up with is the same as what Palynka [the pentagon 1.902 answer] proposed, but I do not have a proof that it is the minimum. I do have a proof that, for example, the answer cannot be less than y/x = sqrt(3). But that does not help that much.
He does not post the proof itself, although I believe it.
But note his proof is "cannot be less than" which is different from "can be equal to."
Vidi vici veni.
Posted 11 April 2013 - 05:23 PM
Edited by BMAD, 11 April 2013 - 05:23 PM.
Posted 11 April 2013 - 09:43 PM
Vidi vici veni.
Posted 12 April 2013 - 02:43 AM Best Answer
Spoiler for PROOF pt.3
I believe there is a subtle error here
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