Abstract
Some characteristics of the 2D quasi-periodic Rauzy tiling, which allows parametrization and is obtained from finite torus tilings, have been investigated. The main characteristics of the layer-by-layer growth of this tiling were investigated theoretically and in a computer experiment. The polygonal character of self-similar growth with a limited radius of deviation from the limiting polygon is demonstrated and formulas for both sectoral and global growth rates are obtained.
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