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Figure 2
(a) Vertex distribution in the planar hexagonal net mta. The hexagonal unit cell (black) has an edge length [\sqrt 3 u], where u is the length of a hexagon edge (blue line). (b) A typical planar distribution of hat-tile vertices. On average, 1/4 of the mta net vertices are aperiodically absent. Vertex absences are systematic and determined by a non-crystallographic symmetry of the 2-periodic plane. The mta unit cell (dashed lines) is overlaid for comparison. The model radii here are both [R = 8u]. For diffraction computation, vertices were considered to be points.

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