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：我们获得了平面上点集所张成的单位周长三角形数量的新上界和下界。我们还针对点集为整数网格截面的特殊情形建立了改进的界。