Figure 3. Frustration in triangular lattices determines the preferred order.
a,b, Triangular lattices favour ferromagnetic states of either handedness (Supplementary Video 4). Vortices are colour-coded by spin. c, At the largest gap size, bacterial circulation becomes unstable. Scale bar: 50 μ m. d, The spin–spin correlation χ shows strongly enhanced ferromagnetic order compared with the square lattice (Fig. 1j). Each point represents an average over ≥ 5 movies in 3 μm bins at 1.5 μm intervals; vertical bars indicate standard errors (Methods).