“…1 For instance, 5 12 -cage is a dodecahedron, which is constructed from 12 pentagons. In the same manner, 4 3 5 6 6 3 -cage, 5 12 6 2 -cage, 5 12 6 4 -cage, and 5 12 6 8 cage are dodecahedron, tetrakaidekahedron, hexakaidecahedron, and icosahedron, respectively. Some of them are combined to form specific hydrate structures.…”