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| Name | Translations, Dilations, and Inversions: What do Möbius Transformations do to Circles and Lines? |
| Video Uploader | Video From Andrew McCrady |
| Upload Date | This Video Uploaded At 18-10-2022 03:43:52 |
| Video Discription | Here we look at three special Möbius Transformations, and a nice way to visualize them call "domain coloring." Here's a link to the calculator I used to make the images shown. https://jutanium.github.io/ComplexNumberGrapher/ We show any Möbius Transformation is a composition of translations, dilations, and inversions. Finally we show that Möbius Transformations map circles and lines to circles and lines. |
| Category | Education |
| Tags | translations | dilations | inversions | Möbius transformations | mobius transformations | domain coloring | complex mapping | complex variables | complex analysis |
