Population-averaged, spike-rate tuning curves to heading, parsed by the flies’ goal angle. Each column represents a different bin of goal angles relative to the cell’s preferred direction. Thin lines and small open circles represent individual cell tuning curves. Data are missing in portions of the x axis for individual cells because a fly does not always experience the full range of heading directions for each goal direction, even with bar jumps. Large open circles represent mean across cells. Thick lines show the model fit (Methods).