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Figure 3—figure supplement 2. (A), (B) Planes ?(i) for vorticity calculation. Scale bar as in Fig. 2A, indicates the mapping of phase ?i to color: white is ?/2 and blue is 3?/2. (C) Phase distribution in ?(2) of the right PSM, (top) phase is color coded as in (A, B) and (bottom) color coded as indicated in the color bar. (D), (E) Average phase ?̄k of the subdomain Vk of a ring located at a lattice point. ??i is the permutation of ?̄k. A phase vortex is present in the region shown in (D), whereas there is no vortex in (E). (F) Linear increase of the values of ??i along the perimeter of the ring shown in (D). The black line indicates a linear fit to the data points. The vorticity is defined as (?̂5??̂0)/2?. (G) If there is no phase vortex as shown in (E), ??i does not increase linearly. (H) (top) Spatial distribution of the vorticity in ?(2). (bottom) The vorticity is projected to x-axis as ?(2). (I) Maximum projection of ?(i) obtained in each plain ?(i) to x-axis.