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 
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/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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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[2] Hyeong-Chai Jeong, Eunsang Kim, Chang-Yeong Lee, “Noncommutative torus from Fibonacci chains via foliation”, J. Phys. A, 34:31 (2001), R1–R19 | DOI | MR | Zbl

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