Re^7: Puzzle: The Ham Cheese Sandwich cut.

It's all in the (interpretation of) the wording I guess.

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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Re^8: Puzzle: The Ham Cheese Sandwich cut. by jeffguy (Sexton) on Nov 18, 2005 at 04:23 UTC
Seems pretty clear to me -- If a point is on both sides of the line going through it, then there are trivial examples (as shown above) where no solution is possible. Indeed, no solution would be possible for any diagram with an odd number of reds or greens -- we have to pass a line through the diagram so that "at most half" of the points are on each side. Take the basic case of one point of each color. Pass the line through them. Counting them both as on both sides of the line, more than half are on each side. Thus the puzzle clearly means to count a point on a line as not on the left of the line and not on the right.	[reply]
Re^9: Puzzle: The Ham Cheese Sandwich cut. by QM (Parson) on Nov 18, 2005 at 14:55 UTC
Take the basic case of one point of each color. Pass the line through them. Counting them both as on both sides of the line, more than half are on each side This is easily fixed. For example, count the points you include on the first side (2), and the points you include on the second side (2). Now adjust the total to 4, and at most half are on each side. On the other hand, you could count each point on the line as half on one side and half on the other, and not adjust the total. -QM -- Quantum Mechanics: The dreams stuff is made of	[reply]