Congruent triangles in arrangements of lines
Congruent triangles in arrangements of lines
We study the maximum number of congruent triangles in finite arrangements of ℓ lines in the Euclidean plane. Denote this number by f(ℓ). We show that f(5) = 5 and that the construction realizing this maximum is unique, f(6) = 8, and f(7) = 14. We also discuss for which …