State of the art
At present, pendulum jaws are used for 6-point clamping on three-jaw chucks. However, these pendulum bridges come with essential drawbacks.
Soiling of the pendulum mechanism (pendulum bolts) is just one of the problems, as it cancels out the pendulum effect so that compensatory clamping is no longer warranted.
Another problem is that the geometric shape of the pendulum jaws means that they only cover a small clamping range. And so several sets of pendulum jaws are needed to cover the full clamping range.
As an alternative to 3-jaw chucks with pendulum jaws, costly 6-jaw chucks are used. The use of 6-jaw chucks is only appropriate if this results in compensatory clamping.