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Square Plane Function (Posted on 2010-11-16) Difficulty: 2 of 5
Let f be a real-valued function on the plane such that for every square ABCD in the plane, f(A) + f(B) + f(C) + f(D) = 0.

Prove or disprove that f(P) = 0 for every point P in the plane?

See The Solution Submitted by Bractals    
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  Subject Author Date
SolutionAnother wayLarry2010-11-21 19:15:29
Cheating on the squareSteve Herman2010-11-16 15:11:03
SolutionSquaring the square (spoiler)Steve Herman2010-11-16 15:06:44
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