Imagine a balance with an arm that can be somehow folded in half again and again (think a snap bracelet. Those are rigid in one direction and stiff bent in the

Imagine a balance with an arm that can be somehow folded in half again and again (think a snap bracelet. Those are rigid in one direction and stiff bent in the other). Fold the beam in half and mark the center. Use this point as the fulcrum to balance two objects. Pick the side that comes up. Divide this side in half and use this new half way point as the new fulcrum. starting with 0. if the beam reads on the heavy side, write down a 1. If reads on the light side, write a 0. Eventually you'll have 0.101000101110101 or some such. This is the ratio of the weights of the two objects in base 2. You can binary search the ratio of the weights.