Fig. 4: Creation of a tiling by linking the centers of overlapping Lück decagons. | Nature Communications

Fig. 4: Creation of a tiling by linking the centers of overlapping Lück decagons.

From: Novel kind of decagonal ordering in Al74Cr15Fe11

Fig. 4

In case of a Gummelt-decagon covering a P1-PT would result, what is not the case here. a The set of structural tiles contains regular pentagons (P), large decagons, fat hexagons (HF), banana-like tiles (BLT), and concave decagons (DC). The large purple dotted decagons (6.18 nm in diameter) correspond to the large shaded decagons in Fig. 2d. b The ten orientations of the Lück decagons observed in a. c Corresponding histogram of decagon counts along each orientation. The average count of decagons along each direction is 11.1 ± 2.1.

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