The Rubik’s Magic comprises eight thin plates interconnected by a specialised cord mechanism and enables bidirectional folding through axial rotations, which raises our interest. So, we want to reveal axial motion mechanisms by analysing how its cord routing patterns go and how it dynamically behaves during the plate’s movement. And then, we further explore this paradigm’s applicability to non-traditional geometries (e.g., hexagons) and 3d configurations (e.g., cubic systems), which may provide insights for cord-driven reconfigurable mechanisms in engineering applications.