The only system that will not tesselate is the Triclinic system. Its members have no folds of symmetry, thus creating the problem. Although it is technically difficult to tesselate crystals, by definition, they theoretically should be able to do it. In conclusion, we now know that a crystal is a solid with plane naturally occurring faces, defined to be a body in which the atoms are arranged. We have discussed both the internal and external symmetries.
Crystals have many different attributes and can be labeled in many different categories.