Figure 2: Symmetry verification of the trisoctahedral gold nanocrystals using the self-common arcs present in each single-shot diffraction pattern.

(a) A representative single-shot diffraction pattern, where 13 × 13 pixel binning of the highly oversampled intensity makes the narrow missing bars of the detector essentially disappear. (b) Stereographic projection of trisoctahedral symmetry, belonging to crystallographic point group
and consisting of two- (ellipsis symbols), three- (triangle symbols), fourfold (diamond symbols) rotational symmetry and the centro-symmetry (white circles). (c) A representative pair of self-common arcs, corresponding to two dark curves in a. (d) After verifying the trisoctahedral symmetry, a 3D diffraction pattern was assembled from 48 symmetrized copies of the single-shot diffraction pattern (a).