Geodesic
Self-similarity of some sequences of points on a~circle
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 19, Tome 302 (2003), pp. 81-95

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The self-similarity and periodicity properties are proved for the derivatives $d^mO_0$ of the sequences $O_0$, which are obtained by shifting the unit circle by the arc $\tau_2=1+\sqrt2=[(2)]$. 
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     author = {N. N. Manuylov},
     title = {Self-similarity of some sequences of points on a~circle},
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     pages = {81--95},
     publisher = {mathdoc},
     volume = {302},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_302_a5/}
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N. N. Manuylov. Self-similarity of some sequences of points on a~circle. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 19, Tome 302 (2003), pp. 81-95. http://geodesic.mathdoc.fr/item/ZNSL_2003_302_a5/