... the points of PG(6, 3) \ PG(5, 3); (ii) the lines of E1 are the lines of PG(6, 3), not contained in PG(5, 3), which contain a point of K; (iii) incidence is derived from the one of PG(6, 3) Then ... distinct from y Then f (v) = f (y) The line uv is a line through u ∈ Fx containing a point with value f (u) − 1, namely the point v By the induction hypothesis, uv ⊆ Fx Since also L ⊆ Fx , the ... hyperplane of the other Let N denote the set of 126 points of π for which the corresponding polar hyperplane intersects Q(6, 3) in a nonsingular elliptic quadric Let E3 = (P, L, I) be the following point-line...