Difference between revisions of "Transformations"
m |
m |
||
| Line 1: | Line 1: | ||
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]]. | 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]]. | ||
| + | |||
| + | More generally, however, a transformation can also denote a mapping from one arbitary [[metric space]] to another. | ||
{{stub}} | {{stub}} | ||
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.
This article is a stub. Help us out by expanding it.
