This PDF file includes:

• section S1. Analysis
  
• section S2. Results
  
• fig. S1. The annular arena and estimated boundaries.
  
• fig. S2. Durations of unbroken travel clockwise or anticlockwise about arena.
  
• fig. S3. Distributions of observed speeds.
  
• fig. S4. Distributions of observed acceleration magnitudes.
  
• fig. S5. Distributions of observed changes in speed over time.
  
• fig. S6. Distributions of observed turning speeds.
  
• fig. S7. Distributions of observed individual distances to group centroid.
  
• fig. S8. Distributions of observed nearest neighbor distances.
  
• fig. S9. Distributions of observed mean neighbor distances.
  
• fig. S10. Distributions of group expanse.
  
• fig. S11. Distributions of polarization in direction of motion.
  
• fig. S12. Distributions of polarization in facing direction.
  
• fig. S13. Distributions of observed distances to inner boundary.
  
• fig. S14. Distributions of observed distances to outer boundary.
  
• fig. S15. Observation frequency of groupmates and changes in velocity as a function of relative groupmate positions for focal fish traveling at 0 to 20 mm/s (projections).
  
• fig. S16. Observation frequency of groupmates as a function of relative groupmate positions for focal fish traveling at 0 to 20 mm/s (heat maps).
  
• fig. S17. Relative directions of motion of groupmates as a function of relative groupmate positions for focal fish traveling at 0 to 20 mm/s (arrow and heat maps).
  
• fig. S18. Mean change in speed over time as a function of relative groupmate positions for focal fish traveling at 0 to 20 mm/s (heat maps).
  
• fig. S19. Mean change in heading as a function of relative groupmate positions for focal fish traveling at 0 to 20 mm/s (heat maps).
  
• fig. S20. Observation frequency of groupmates and changes in velocity as a function of relative groupmate positions for focal fish traveling at 60 to 80 mm/s (projections).
  
• fig. S21. Observation frequency of groupmates as a function of relative groupmate positions for focal fish traveling at 60 to 80 mm/s (heat maps).
  
• fig. S22. Relative directions of motion of groupmates as a function of relative groupmate positions for focal fish traveling at 60 to 80 mm/s (arrow and heat maps).
  
• fig. S23. Mean change in speed over time as a function of relative groupmate positions for focal fish traveling at 60 to 80 mm/s (heat maps).
  
• fig. S24. Mean change in heading as a function of relative groupmate positions for focal fish traveling at 60 to 80 mm/s (heat maps).
  
• fig. S25. Observation frequency of groupmates and changes in velocity as a function of relative groupmate positions for focal fish traveling at 120 to 140
  mm/s (projections).
  
• fig. S26. Observation frequency of groupmates as a function of relative groupmate positions for focal fish traveling at 120 to 140 mm/s (heat maps).
  
• fig. S27. Relative directions of motion of groupmates as a function of relative groupmate positions for focal fish traveling at 120 to 140 mm/s (arrow and heat
  maps).
  
• fig. S28. Mean change in speed over time as a function of relative groupmate positions for focal fish traveling at 120 to 140 mm/s (heat maps).
  
• fig. S29. Mean change in heading as a function of relative groupmate positions for focal fish traveling at 120 to 140 mm/s (heat maps).
  
• fig. S30. Relative frequency of partner observation and mean speed of focal fish for bins centered about the x or y axes.
  
• fig. S31. Changes in velocity of focal fish for bins centered about the x or y axes.
  
• fig. S32. Observation frequency of groupmates and changes in velocity as a function of relative groupmate positions for focal fish traveling at 0 to 20 mm/s for bins centered about the x or y axes.
  
• fig. S33. Observation frequency of groupmates and changes in velocity as a function of relative groupmate positions for focal fish traveling at 60 to 80 mm/s for bins centered about the x or y axes.
  
• fig. S34. Observation frequency of groupmates and changes in velocity as a function of relative groupmate positions for focal fish traveling at 120 to 140 mm/s for bins centered about the x or y axes.
  
• fig. S35. Entropy, mutual information, and entropy rate associated with changes in displacement.
  
• fig. S36. Entropy, mutual information, and entropy rate associated with changes in velocity.
  
• fig. S37. Distributions of estimated areas sighted by individual fish.
  
• fig. S38. Distributions of estimated area sighted by all group members.
  
• fig. S39. Distributions of estimated number of groupmates seen by each individual.
  
• fig. S40. Survival functions for durations between changes in sense of motion around the arena.
  
• fig. S41. Distributions of observed isolation events per minute.
  
• fig. S42. Survival functions for individual durations in isolation.
  
• fig. S43. Distributions of the number of swaps between group exterior and interior.
  
• fig. S44. Survival functions for durations spent on the group exterior.
  
• fig. S45. Distributions of the group fraction facing outward from the nearest wall.
  
• fig. S46. Survival functions for durations spent within one body length of the outer boundary.
  
• fig. S47. Survival functions for durations spent within two body lengths of the outer boundary.
  
• fig. S48. Survival functions for durations spent within one body length of the inner boundary.
  
• fig. S49. Survival functions for durations spent within two body lengths of the inner boundary.
  
• table S1. States associated with changes in displacement.
  
• table S2. States associated with changes in velocity.
  
• table S3. Bootstrap confidence intervals for median and SD change in speed over time.
  
• table S4. Bootstrap confidence intervals for median and SD distances from individual fish to the group centroid, nearest and mean neighbor distances, and group expanse and polarization (in direction of motion or facing direction).
  
• table S5. Bootstrap confidence intervals for median and SD distances to boundaries.
  
• table S6. Bootstrap confidence intervals for median and SD estimates for areas and number of groupmates sighted.
  
• table S7. Log-rank test comparison of survival functions for durations between individual changes in sense of motion around the arena.
  
• table S8. Bootstrap confidence intervals associated with time lag to maximum mean correlation in direction of motion.
  
• table S9. Bootstrap confidence intervals associated with the analysis of rapid turns.
  
• table S10. Bootstrap confidence intervals for median and SD number of isolation events per fish per minute.
  
• table. S11. Log-rank test comparison of survival functions for durations in isolation.
  
• table S12. Bootstrap confidence intervals for mean and SD number of interior-exterior group position swaps per minute.
  
• table S13. Log-tank test comparison of durations spent on the group exterior.
  
• table S14. Bootstrap confidence intervals for the mean and SD group fraction facing outward with their right eye.
  
• table S15. Bootstrap confidence intervals for the median SD group fraction facing outward from the nearest wall.
  
• table S16. Log-rank test comparison of survival functions for durations within one body length of the outer boundary.
  
• table S17. Log-rank test comparison of survival functions for durations within two body lengths of the outer boundary.
  
• table S18. Log-rank test comparison of survival functions for durations within one body length of the inner boundary.
  
• References (39–52)

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