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Figure 1
Idealized cyclic tenfold twin structure of NiZr. Distinct atom types and heights in the out-of-plane direction are highlighted by different circle styles and radii (Ni: solid circles; Zr: open circles; z = 1/4: small circles; z = 3/4: large circles). Highlighted by lines are the twin boundaries of ten wedge-like twin domains, shifted against each other in the way of an iris aperture, as well as two unit cells, one within the bulk of a twin domain (red) and one across a twin boundary (green). Note the chiral arrangement of twin domains, and the spiral arrangement of atoms, alternating both in atom type and height, thereby inducing a kind of antisymmetry between adjacent twin domains, reducing the symmetry from tenfold for the non-decorated two-dimensional twin to fivefold for the decorated three-dimensional one. Note also that in the twin only five distinct orientation states occur, with opposite domains (alternating blue/cyan unit-cell pattern) belonging to the same state.

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