Geodesic
Local structure of the karyon tilings
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 4, Tome 502 (2021), pp. 32-73 Cet article a éte moissonné depuis la source Math-Net.Ru

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Karyon tilings $\mathcal{T}$ of the torus $\mathbb{T}^d$ of arbitrary dimension $d$ are considered. The prototype of such tilings is one-dimensional Fibonacci tilings and their two-dimensional analog the Rauzy tiling. Tilings $\mathcal{T}$ are important for applications to multidimensional continued fractions. In this article, we examine the local properties of karyon tilings $\mathcal{T}$. 
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V. G. Zhuravlev. Local structure of the karyon tilings. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 4, Tome 502 (2021), pp. 32-73. http://geodesic.mathdoc.fr/item/ZNSL_2021_502_a1/

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