Consider the problem of enclosing the largest total area with n fences of length 1. The ends of all fences must lie on another fence, and the fences may not cross. The areas of all fields enclosed must be no larger than 1. The best known configurations are shown below, with area A.

3. A = √3/4 = .43301+ Trivial.

4. A = 1 Trivial.

5. A = 1 Trivial.

6. A = 1.47585+ Found by Antoine Lagache in August 2026.

7. A = 2 Trivial.

8. A = 2.10306+ Found by Yanis Gomes in August 2026.

9. A = 2.63630+ Found by Yanis Gomes in August 2026.

10. A = 3.04687+ Found by Lu ZeShen in September 2026.

11. A = 3.53721+ Found by Teodor Tohanean in August 2026.

12. A = 4 Trivial.

13. A = 4.16199+ Found by Bram Cohen in September 2026.

14. A = 4.74494+ Found by Luna in August 2026.

15. A = 5.06345+ Found by Yanis Gomes in September 2026.

16. A = 5.53706+ Found by Yanis Gomes in August 2026.

17. A = 6.01086+ Found by Yanis Gomes in September 2026.

18. A = 6.24791+ Found by Yanis Gomes in September 2026.

19. A = 6.87498+ Found by Yanis Gomes in August 2026.

20. A = 7.14732+ Found by Yanis Gomes in September 2026.

21. A = 7.72489+ Found by Luna in August 2026.

22. A = 8.07384+ Found by Yanis Gomes in September 2026.

23. A = 8.53463+ Found by Luna in August 2026.

24. A = 9.02394+ Found by Yanis Gomes in September 2026.

25. A = 9.30077+ Found by Yanis Gomes in September 2026.

26. A = 9.89324+ Found by Yanis Gomes in September 2026.

27. A = 10.16136+ Found by Yanis Gomes in September 2026.

28. A = 10.73270+ Found by Yanis Gomes in September 2026.

29. A = 11.08218+ Found by Yanis Gomes in August 2026.

30. A = 11.53492+ Found by Yanis Gomes in September 2026.

31. A = 12.03575+ Found by Yanis Gomes in September 2026.

32. A = 12.43064+ Found by Yanis Gomes in September 2026.

33. A = 13.01887+ Found by Yanis Gomes in September 2026.

34. A = 13.28913+ Found by Yanis Gomes in September 2026.

35. A = 13.90296+ Found by Yanis Gomes in September 2026.

36. A = 14.18217+ Found by Yanis Gomes in September 2026.

37. A = 14.76529+ Found by Yanis Gomes in September 2026.

38. A = 15.08152+ Found by Yanis Gomes in September 2026.

39. A = 15.53725+ Found by Yanis Gomes in September 2026.

40. A = 16.04172+ Found by Yanis Gomes in September 2026.

41. A = 16.44841+ Found by Yanis Gomes in September 2026.

42. A = 17.02275+ Found by Yanis Gomes in September 2026.

43. A = 17.34095+ Found by Yanis Gomes in September 2026.

44. A = 17.91952+ Found by Yanis Gomes in September 2026.

45. A = 18.17998+ Found by Yanis Gomes in September 2026.

46. A = 18.82057+ Found by Yanis Gomes in September 2026.

47. A = 19.15056+ Found by Yanis Gomes in September 2026.

48. A = 19.75072+ Found by Yanis Gomes in September 2026.

49. A = 20.07383+ Found by Yanis Gomes in September 2026.

50. A = 20.55829+ Found by Yanis Gomes in September 2026.