Euclidean mapping

From Online Dictionary of Crystallography

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<font color="blue">Transformation Euclidienne</font> (''Fr''). <font color="black">Transformazione Euclidiana</font> (''It''). <font color="purple">ユークリッド写像</font> (''Ja'').
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<font color="blue">Transformation Euclidienne</font> (''Fr''); <font color="black">Transformazione Euclidiana</font> (''It''); <font color="purple">ユークリッド写像</font> (''Ja''); <font color="green">Transformación Euclidiana</font> (''Sp'').

Revision as of 08:59, 12 October 2017

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:

  • translations
  • rotations
  • reflections.

A special case of Euclidean mapping is a symmetry operation.