# plane group

## plane group

[′plān ‚grüp] (crystallography)

The group of operations (rotations, reflections, translations, and combinations of these) which leave a regular, periodic structure in a plane unchanged.

(mathematics)

One of 17 two-dimensional patterns which can be produced by one asymmetric motif that is repeated by symmetry operations to produce a pattern unit which then is repeated by translation to build up an ordered pattern that fills any two-dimensional area. Also known as plane symmetry group.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

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