From Online Dictionary of Crystallography
Revision as of 08:59, 12 October 2017 by MassimoNespolo (lang)
Transformation Euclidienne (Fr); Transformazione Euclidiana (It); ユークリッド写像 (Ja); Transformación Euclidiana (Sp).
The Euclidean mapping or isometry is a special case of affine mapping that, besides collinearity and ratios of distances, keeps also distances and angles. Because of this, a Euclidean mapping is also called a rigid motion.
Euclidean mappings are of three types:
A special case of Euclidean mapping is a symmetry operation.