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So that means that there will be at least on line which the center is an integer point.
by olivier1664 14y ago
So that means that there will be at least on line which the center is an integer point.
- jonsen 14y agoThere are four possible coordinate parities (even, even), (even, odd), (odd, even), (odd, odd) Among five points two must have the same parity. Between two points of same parity the difference has the parity (even, even). As (even, even) is divisible by two there's an integer midpoint.
- nazgulnarsil 14y agotrue, you can always make one of the 4 lines have a slope that is even/even. the point composed of x/2,y/2 will lie on this line.