Crystal systems
There are many crystal polyhedrons, and they all differ in their specific degree of symmetry. Studying a crystal, which above all involves measuring the angles between crystal faces, gives us basic ELEMENTS OF SYMMETRY (centre of symmetry, plane of symmetry, axis of symmetry) of that crystal polyhedron.
There are 32 different combinations of elements of symmetry that define the external symmetry of a crystal, and so we can say that all mineral species, and an even larger number of all crystallised matter, can be divided into 32 CRYSTAL CLASSES based on the morphology and internal organisation of atoms.
Crystal polyhedrons in those 32 crystal classes can be classified into six different CRYSTAL SYSTEMS. These are cubic, tetragonal, hexagonal, orthorhombic, monoclinic and triclinic crystal system.