You might be able to get away with three motors. I see two potential ways:
1. Each corner of the table has two legs. If you were to fix one of these legs to the base, then you would only need to move the other leg. This however would involve more complex math for some simple movements. For example, if you wanted to simply tilt one edge of the platform down, you would have to take into account a slight twisting of the platform since only one of the corners supporting legs is moving, the corners position ins 3D space will travel proportionately in the same direction as the moving support leg. This would necessitate a counter rotation of the entire table to counteract.
2. Have the two corner legs attached to the same motor. This would mean that the two legs travel the same distance in opposite directions for any movement. A real upside for the do-it-yourself’er is that any single movement will be restricted to less complex set. That is to say, if you wish to move corner A, then the two supporting struts will travel an equal distance and corner A’s position in space will be easier to calculate.
--bb99
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