“…For example, the structural models of some approximants were proposed by electron crystallography1213141516, based on the structural relationships of the known and unknown approximants determined from the high resolution transmission electron microscopy (HRTEM) images. Some typical structural blocks, such as hexagon (H), boat (B), star (S), and decagon (D)17181920, are often found in Al-based decagonal quasicrystals (DQCs) and their approximants; and the rich combinations of these substructures lead to an abundance of approximants212223242526. Among them, the approximants with different lattice parameters may consist of the same structural blocks, for example, the H tile for (1/0, 2/1) and (1/1, 1/1) approximants2728.…”