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&sq=BTS&lang=en&file=File:A_code_snippet_for_a_rhombic_repetitive_pattern.svg)
which transforms a rectangular repetitive pattern
into a rhombic pattern. The four transformations are linear.
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]
- ^ "Self-Map -- from Wolfram MathWorld". Retrieved March 4, 2024.
- ^ Olexandr Ganyushkin; Volodymyr Mazorchuk (2008). Classical Finite Transformation Semigroups: An Introduction. Springer Science & Business Media. p. 1. ISBN 978-1-84800-281-4.
- ^ Pierre A. Grillet (1995). Semigroups: An Introduction to the Structure Theory. CRC Press. p. 2. ISBN 978-0-8247-9662-4.
- ^ Wilkinson, Leland (2005). The Grammar of Graphics (2nd ed.). Springer. p. 29. ISBN 978-0-387-24544-7.
- ^ "Transformations". www.mathsisfun.com. Retrieved 2019-12-13.
- ^ "Types of Transformations in Math". Basic-mathematics.com. Retrieved 2019-12-13.
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