Polyhedral Connecting Framework Structures are another class of materials that exhibit a three-dimensional network of polyhedra. These polyhedra, which can be of various shapes, such as tetrahedra and octahedra, are connected at their corners or edges to form a continuous framework. This structure creates channels or cages where mobile ions can reside. The connectivity and geometry of the polyhedra can greatly influence the properties of the material, including its thermal stability, electronic structure, and ion conductivity.