ABSTRACT
As is well known, a crystal is a solid natural material whose constituents, such as atoms, molecules, or ions, are arranged periodically. The crystal lattice extends in all directions, and results in homogeneous property of the solid. A crystal can be either isotropic or anisotropic in different directions. In contrast, a noncrystal is a solid in which the atoms inside it form a random arrangement; whereas a quasicrystal is a solid in the ordered state between crystalline and noncrystalline. The quasicrystal consists of arrays of atoms that are ordered but not strictly periodic. Therefore, a quasicrystal is inhomogeneous, either isotropic or anisotropic. The man-made metamaterials can be classified in a similar way. When the artificial particles, the electrically resonant particles and/or the magnetically resonant particles, are arranged periodically, they form a metamaterial termed as the “super crystal.” When they are arranged randomly, they form a metamaterial termed as the “super noncrystal.” When they are arranged quasiperiodically, varying in a specific manner, they form a metamaterial termed as the “super quasicrystal.”
