A system for interconnecting discrete rigid member mating components creates different stable, freestanding three-dimensional figures such as robots. The mating components are positioned in tandem employ an elastic element through bores and each mating component has at least one slot that is aligned with a corresponding slot formed on adjacent mating component or body. The arrangement of the slots and elastic element permits each mating components to be maneuvered onto an adjacent mating component and retains its position without the use of hinges or other securing devices. A reconfigurable toy is constructed by interconnecting a plurality of different sized mating components. The mating components can thus be rearranged to form different-shaped figures including a robot that is reversibly transformable between a first configuration, which can comprise a myriad of forms, and a second configuration that is a cube.