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| viXra.org > Combinatorics and Graph Theory > viXra:2606.0055 |
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Combinatorics and Graph Theory |
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Authors: Hans Montanus
The successive actions of the generators S and T of the full modular group SL(2,Z) on the fundamental domain F lead to a tessellation of the upper half-plane H. Each image can be obtained by acting on the fundamental domain with a word consisting of solely S's and T's. For instance STTSTTT(F) is the image when the word STTSTTT acts on F. There is no shorter word that produces the image STTSTTT(F). A recurrence relation will be derived for the number of images for a given minimal word length.
Comments: 11 Pages.
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[v1] 2026-06-15 16:20:10
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