Under the assumption that the body of flotation and the body of buoyancy are homothetic and every flotation chord cuts off one third of the total affine arc length, the body must be an ellipse.
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On the homothety conjecture for the body of flotation and the body of buoyancy on a plane
Under the assumption that the body of flotation and the body of buoyancy are homothetic and every flotation chord cuts off one third of the total affine arc length, the body must be an ellipse.