We have 15 points {Ai} placed within the unit sphere. What is the maximum possible value of

∑1≤i<j≤15 ∣∣AiAj∣∣^2?
Details and assumptions
Each of the points Ai=(xi,yi,zi)∈R ^3 satisfy xi^2+yi^2+zi^2 ≤1.

1 answer

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