International audienceWe present a framework capable of producing contact plans describing complex multiped motions (including humanoid): standing up, climbing stairs using a handrail, crossing rubble and getting out of a car. Our framework answers a need demonstrated at the Darpa Robotics Challenge, where the lack of an automatic acyclic contact planner was recognized a major issue. Our novel key idea is the reachability condition. Informally, it verifies that the root configuration of a robot is " close, but not too close " from obstacles: close to allow contact creation, not too close to avoid collision. With this approximation of the space of admissible root configurations we decompose the hard contact planning problem into simpler sub-...