Geometric transformation
Bijection of a set using properties of shapes in space / From Wikipedia, the free encyclopedia
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Not to be confused with Transformation geometry.
For broader coverage of this topic, see Transformation (mathematics).
In mathematics, a geometric transformation is any bijection of a set to itself (or to another such set) with some salient geometrical underpinning. More specifically, it is a function whose domain and range are sets of points — most often both or both — such that the function is bijective so that its inverse exists.[1] The study of geometry may be approached by the study of these transformations.[2]