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ISOMETRIC (CUBIC)
all 3 axes (EQUAL in length), all are PERPENDICULAR
TETRAGONAL
2 of the 3 axes (EQUAL in length), all 3 axes are PERPENDICULAR
ORTHORHOMBIC
all 3 axes (UNEQUAL in length), all are PERPENDICULAR
HEXAGONAL
4 axes, 3 axes (EQUAL LENGTH)
TRICLINIC
all 3 axes (UNEQUAL LENGTH), none are perpendicular
MONOCLINIC
all 3 axes (UNEQUAL IN LENGTH), 2 axes are perpendicular
RHOMBOHEDRAL (TRIGONAL)
all 3 axes (EQUAL LENGTH), none of all the axes are perpendicular