File:The modular group PSL 2(Z).svg

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Tiling of the upper-half space by fundamental domains of the modular group PSL_2(Z)

Summary[edit]

Description
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
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Author Neozhaoliang

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Date/TimeThumbnailDimensionsUserComment
current13:19, 31 October 2022Thumbnail for version as of 13:19, 31 October 20221,000 × 500 (3.94 MB)Neozhaoliang (talk | contribs)Uploaded own work with UploadWizard

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