8/10/2023 0 Comments Periodic tessellation definitionHowever, in the last quarter century, quasicrystals have been recognized to share sufficiently many chemical and physical properties with crystals that there is a tendency to classify quasicrystals as "crystals" and to adjust the definition of "crystal" accordingly. The interpretation in science and engineering is that since a Euclidean graph representing a material extending through space must satisfy conditions (1), (2), and (3), non-crystalline substances from quasicrystals to glasses must violate (4). Then the Euclidean graph is periodic in that the vectors of translations in its symmetry group span the underlying Euclidean space, and its symmetry group is a crystallographic space group.
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