in reply to Re^5: Puzzle: The Ham Cheese Sandwich cut.
in thread Puzzle: The Ham Cheese Sandwich cut.

No matter where you put the third point of the second group, other than on that line, the problem is insoluble. I think?
No. The line you have drawn has one x on the left of the line, and one x on the right of the line - since 1 is not more than half of 3, it correctly divides the set of x points. And no matter where you place the third point, each half-plane (that is, right of the line, or left of the line) contains at most 1 point.

Points that are on the line are neither to its left, nor to its right.

Perl --((8:>*
  • Comment on Re^6: Puzzle: The Ham Cheese Sandwich cut.

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Re^7: Puzzle: The Ham Cheese Sandwich cut.
by BrowserUk (Patriarch) on Nov 18, 2005 at 18:41 UTC

    Okay. Once I know how you want to fudge the inconvenient edge cases, the problem becomes easier :)

    Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
    Lingua non convalesco, consenesco et abolesco. -- Rule 1 has a caveat! -- Who broke the cabal?
    "Science is about questioning the status quo. Questioning authority".
    In the absence of evidence, opinion is indistinguishable from prejudice.
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