File:The modular group PSL 2(Z).svg
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[edit]DescriptionThe modular group PSL 2(Z).svg |
English: This image shows the tiling of the upper-half plane by fundamental domains of the modular group. A fundmanetal domain of this group consists of ideal triangles of different color sharing an edge. The two marked by a darker boundary form the "standard" fundamental domain used in studies of the moduli space of elliptic curves. The modular group is an automatic group and its words can be generated by traversing a finite automaton. This image is generated in two steps: firstly list out all words of length <= 15 under the shortest lexicographical order, then use these words to transform a basic tile to get the entire tiling. |
Date | |
Source | Own work |
Author | Neozhaoliang |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 13:19, 31 October 2022 | 1,000 × 500 (3.94 MB) | Neozhaoliang (talk | contribs) | Uploaded own work with UploadWizard |
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Height | 400pt |
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