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Figure 3
The higher-dimensional description of the Fibonacci chain. Nodes arranged in { LS} sequence are obtained by a cut of the segment lines, called the atomic surface (AS), attached to the vertices of the square lattice (x, y) with axis [x_{\parallel}]. Direction [x_\perp] spans the perpendicular space where the ASs are spanned. The slope of [x_{\parallel}] with respect to x is defined as [\tan \varphi = 1/\tau].

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