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. 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 + √3/4 = 1.43301+
Trivial.
7. 
A = 2
Trivial.
8. 
A = 2.08932+
Found by Daniel Mathias
in June 2025.
9. 
A = 3√3/2 = 2.59807+
Found by Erich Friedman
in June 2025.
10. 
A = 3
Trivial.
11. 
A = 3.45644+
Found by Daniel Mathias
in June 2025.
12. 
A = 4
Trivial.
13. 
A = 4
Trivial.
14. 
A = 9/2 = 4.5
Found by Maurizio Morandi
in July 2026.
15. 
A = 5
Trivial.
16. 
A = 4+3√3/4 = 5.29903+
Found by Maurizio Morandi
in July 2026.
17. 
A = 6
Trivial.