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Figure 9
Positions of cluster centres in the F-type 3D AKN tiling with edge length of τ2a. The `even' vertices on the threefold axis are (a) shared and (b) unshared with the two neighbouring rhombohedra. (c) The obtuse rhombohedron. (d) The dodecahedral star configuration is composed of 20 acute rhombohedra. The central position corresponds to an `even' 12-fold vertex in the 3D AKN tiling. The blue, green and red balls represent the centre positions of the pM, pM′ and mB clusters, respectively. The mB clusters are located at every `odd' vertex of the tiling. The dashed line represents the threefold axis of each rhombohedron.

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