A carriage with two hexapod platforms, each having a base, a plate, and a set of six cylinders associated in pairs. Each cylinder is articulatedly mounted with the plate. For each pair, a slider is able to move in translation on the base. For a first pair, the two cylinders of the first pair are mounted in an articulated manner on the slider. The articulation of one of the two cylinders of the first pair with the plate is adjacent to the articulation of one of the two cylinders of a second pair with the plate. The articulation of the other of the two cylinders of the first pair with the plate is adjacent to the articulation of one of the two cylinders of a third pair with the plate. For each slider, a movement system moves the slider. A control unit controls each cylinder and the movement system.