Mathematicians prove existence of Kaleidocycles then unlock their exact motion

Kaleidocycles are flexible polyhedral structures composed of rigid tetrahedra connected along their edges to form rotating rings. Each tetrahedron is a solid 3D polygon with four triangular faces (like a triangular pyramid), and the hinges connect neighboring units, enabling a smooth rotational motion of the ring without deforming the individual pieces. These mechanisms are often compared with the bubble rings blown by dolphins.