What causes the wobble?
Most floors are not perfectly flat. A tiny height mismatch means all four legs cannot touch at once, so the table pivots between two stable contact pairs.
Every cafe mystery, explained
Why does a four-legged table rock on uneven ground, and why does rotating it sometimes magically fix the wobble?
If one leg is effectively higher than the others, contact alternates between two opposite legs and the table rocks.
Most floors are not perfectly flat. A tiny height mismatch means all four legs cannot touch at once, so the table pivots between two stable contact pairs.
For many smooth floors, rotating the table changes which leg sits on each bump or dip. At some angle, the height errors can cancel, bringing all four legs into contact.