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About: Euclidean plane isometry     Goto   Sponge   NotDistinct   Permalink

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Type: yago:Abstraction100002137yago:Attribute100024264yago:Property104916342yago:SpatialProperty105062748yago:Symmetry105064827yago:WikicatEuclideanSymmetries New Facet based on Instances of this Class

In geometry, a Euclidean plane isometry is an isometry of the Euclidean plane, or more informally, a way of transforming the plane that preserves geometrical properties such as length. There are four types: translations, rotations, reflections, and glide reflections (see below under classification of Euclidean plane isometries). The set of Euclidean plane isometries forms a group under composition: the Euclidean group in two dimensions. It is generated by reflections in lines, and every element of the Euclidean group is the composite of at most three distinct reflections.