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Figure 6
100 × 100 Å section of the final model (Dy: blue; Zn: red; Mg: green) with the tiling built on the tiles based on the earlier modeling and electron microscopy studies. Tile vertices connect the x5 = [1\over 4] and [3\over 4] atoms (predominantly Zn). Tiling edge length is around 4.5 Å. Clusters A and B, shown in Figs. 2[link](d), 4[link] and 5[link], are indicated by dark blue and yellow colors, respectively. Additionally, local building motifs are marked by decagons in black for a comparison with the STEM image in Fig. 7[link]. Blue rings in two such decagonal units indicate the same distance from the center and visualize how the tenfold configurations arise from the overlap of ten equivalent configurations. One Dy1 and one Dy2 position (within cluster A and B, respectively) are labeled. The hexagon with blue dashed lines demonstrates one hexagon tile orientation among the ten possible orientations. This illustrates the orientational disorder of the hexagon tile around the Dy1 position. The orange star shape and the dashed lines inside exemplify the star shape that cannot be divided into fat rhombs, as mentioned in the text.

Journal logoSTRUCTURAL SCIENCE
CRYSTAL ENGINEERING
MATERIALS
ISSN: 2052-5206
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