In Figure 1 crystals are classified according to increasing symmetry into two phyla (axial and axihedral), three divisions (trimetric, dimetric, monometric), six systems, seven systems and subsystems, seven families (monaxial, polyaxial, anastrephaxial, orthaxihedral, monaxihedral, mesaxihedral, and polyaxihedral), fourteen orders (rows), and thirty-two point groups or classes. This would seem to offer a wide range of choice which might reasonably satisfy all or at least most wants outside of those concerned with crystal structure itself. In addition attention is called to three diagonal rows, which however embrace only 20 of the crystal classes. The Mauguin system of symbolism for both space and point groups is briefly recapitulated, as is the Schoenflies method. The former is recommended.

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