Properties of a periodic medium
All periodic medium contains three fundamental properties:
- homogeneity: the distribution around a point is always the same and all points are identical to each other, "homologues".
- anisotropy: variation of some properties depending on the direction considered, e.g. magnitude of translation, the density of points, etc.
- symmetry: property referring to the repetition of invariance of structural or morphological motif, using certain mathematical "operations" which are combined to form symmetry elements.