We current the first completely relativistic lasting numerical progresses of three equal-mass black holes in a system containing of a third black hole in a close orbit about a black-hole dual. We discover that these close-three-black-hole systems have very dissimilar merger dynamics from black-hole duals. In specific, we see complex trajectories, a redeployment of energy that can communicate substantial kicks to one of the holes, characteristic waveforms, and suppression of the emitted gravitational radiation. We change two such configurations and discover very different actions. In one conformation the dual is quickly troubled and the separate holes follow complicated trajectories and coalesce with the third hole in fast succession, while in the other, the dual finishes a half-orbit before the initial merger of one of the members with the third black hole, and the subsequent two-black-hole system forms a highly indirect, well separated dual that shows no significant in spiral for (at least) the first t ∼ 1000 M of evolution.