![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/9/9c/A_code_snippet_for_a_rhombic_repetitive_pattern.svg/640px-A_code_snippet_for_a_rhombic_repetitive_pattern.svg.png&w=640&q=50)
Transformation (function)
Function that applies a set to itself / From Wikipedia, the free encyclopedia
"Transformation (mathematics)" redirects here. For other uses, see Transformation (disambiguation).
For broader coverage of this topic, see Function (mathematics).
In mathematics, a transformation or self-map[1] is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X.[2][3][4] Examples include linear transformations of vector spaces and geometric transformations, which include projective transformations, affine transformations, and specific affine transformations, such as rotations, reflections and translations.[5][6]
![Thumb image](http://upload.wikimedia.org/wikipedia/commons/thumb/9/9c/A_code_snippet_for_a_rhombic_repetitive_pattern.svg/320px-A_code_snippet_for_a_rhombic_repetitive_pattern.svg.png)
which transforms a rectangular repetitive pattern
into a rhombic pattern. The four transformations are linear.