Difference between revisions of "Transformations"
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| − | A transformation is a mapping of a (sometimes projective) plane to itself so that each point has a unique image and also has a unique point that was mapped to it. They include Translations, Reflections, Dilations/Homethecy, and Inversion. | + | A transformation is a mapping of a (sometimes projective) plane to itself so that each point has a unique image and also has a unique point that was mapped to it. They include [[Translation|Translations]], [[Reflection|Reflections]], [[Homothety|Dilations/Homethecy]], and [[Circular Inversion|Inversion]]. |
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| + | More generally, however, a transformation can also denote a mapping from one arbitary [[metric space]] to another. | ||
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Latest revision as of 21:56, 10 January 2025
A transformation is a mapping of a (sometimes projective) plane to itself so that each point has a unique image and also has a unique point that was mapped to it. They include Translations, Reflections, Dilations/Homethecy, and Inversion.
More generally, however, a transformation can also denote a mapping from one arbitary metric space to another.
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