 | Acta Crystallographica Section A Acta Crystallographica Section A FOUNDATIONS AND ADVANCES |
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![[Figure 9]](dm5019fig9mag.jpg)
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Figure 9
The sequence of constructing the first-level hierarchy of the new quasicrystalline pattern. (a) A framework of the nested decagrams, which serves as the underlying basic grid for the first-level quasicrystalline empire. The central star `seed' unit is proportional to the size of the framework and is strictly derived from the diminution sequence of the nested decagrams. (b) The main `seed' unit is created by proportionally breaking down the decagon to form the final designs. (c) The three different connecting formations are fragments of the main seed unit. (d) The different combinations between the main units and the connecting formations. (e) The distribution of the main units and their connecting formations are determined entirely by the network of the nested decagrams. The black dots correspond to the center position of all instances of the main units. (f) The final cartwheel pattern of the first-level hierarchy of the global quasicrystalline empire. (g) The inflation rules for the new generated pattern. (h) The new pattern can be mapped perfectly to Penrose tiling patterns; the kite and dart with their new decoration. (i) The result from mapping the same inflation rules of the new pattern to Penrose tiles. (j) Perfect Penrose formations created by applying the inflation rules in Fig. 9 ![[link]](../../../../../../logos/arrows/a_arr.gif) (i). |
![[Figure 9]](dm5019fig9.jpg)
| FOUNDATIONS ADVANCES |
ISSN: 2053-2733
