We obtain new upper and lower bounds on the number of unit perimeter triangles spanned by points in the plane. We also establish improved bounds in the special case where the point set is a section of the integer grid.

翻译：我们得出平面上点构成的单位周长三角形数量的新的上下界估计。我们还在特殊情况下建立了更好的边界估计，即点集是整数网格的一部分。