turn bias

people turn counterclockwise when they change direction. it shows up in individuals, not just crowds. what happens when a lot of them do it at once?

each dot steers its heading a little counterclockwise, more as the bias goes up, and turns ccw when it bumps a wall or another dot. no rule forces a vortex. the trails show the honest result: individuals curl — every dot spirals ccw — but the crowd's net circulation stays weak (watch the number). local spins at different spots cancel out about the middle. a bias in how each person turns doesn't automatically become a spinning room. the counterclockwise crowd bias was reported by Echeverría-Huarte et al., Nat Commun 17, 4869 (2026).