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Figure 4
The [\alpha = 1] (period doubling) limit-periodic tiling. Top: the tile boundaries with each point plotted at a height corresponding to the value of n for the sublattice to which it belongs. Bottom: plot of the number variance. The horizontal dotted line marks [\sigma^2 = 2/9], which is obtained for every R of the form 2n with integer [n\geq-1]. The dashed lines indicate upper bounds, and the open circles are analytically calculated values for R = 2n/3. See text for details.

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ISSN: 2053-2733
Volume 75| Part 1| January 2019| Pages 3-13
https://doi.org/10.1107/S2053273318015528
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