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The standard form of this puzzle includes a set of two or more hanging beams marked off in equally spaced intervals, with weights and/or other beams hanging at some of the marked points. This structure, a bit like a mobile, is meant to balance by the torque rule - for each beam, the sum of (weight x distance to fulcrum) for all weights on one side of the fulcrum equals that sum for the other side, the fulcrum in this case being the point the beam hangs from. The beams themselves are weightless but convey the total weight of the weights they hold to the beam they hang from. The values of the weights must be filled in from a predetermined set, usually 1 to N where N is the number of weights.
MIT Mystery Hunt 1995 20: Art Gallery