SHARYGIN 2012 Problem 23
An arbitrary point is selected on each of twelve diagonals of the faces of a cube.The centroid of these twelve points is determined. Find the locus of all these centroids.
Dataset text AI-MO AoPS. Quoted with source.
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No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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