Figure 8
Bilayer of structure p4gm for the rotation δ = 18.435° with coincidence lattice of the unit cell in yellow on the moiré patterns. On the left, the straight lines Δ in black are the traces of the mirrors m and ; the lattice of
L2 is displaced by the non-primitive translation t = (1/2, 1/2) associated to the mirrors in p4gm. For τ = (0, 0), the Δ lines hit lattice nodes along the diagonal directions generating pure mirrors along these directions for a bilayer symmetry p4gm. For τ = (1/2, 0), they hit lattice nodes only in the y direction which generates a set of mirrors along the x direction for a bilayer symmetry
pmx. For τ = (1/2, 1/2) they hit lattice nodes on all mirror directions of the square for a bilayer symmetry p4mm. In blue, on the right column, the zero locus. |