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Two-dimensional periodic patterns provide a simple means for teaching the principles of crystallographic symmetry. In particular they help to develop some desirable skill in recognizing space groups at an elementary level. Crystal structure models are generally less useful for demonstrating space group symmetry. This account shows how 2-dimensional patterns can be extended to include 3-dimensional space group symmetry. Space group patterns, as presented in this brief exposition, can furnish a suitable basis for a non-mathematical introduction to the symmetry of crystal structures in which the emphasis is on practical rather than theoretical aspects.

A knowledge of elementary symmetry concepts, as outlined in Pamphlet No. 13 of this series or an introductory text, is assumed.

**Copyright © 1984, 1998 International Union of
Crystallography**