👉 In mathematics, an interpole is a mathematical object that represents a point on a curve or surface. It is a special kind of point in the plane that lies exactly halfway between two points on the curve or surface. The interpole can be defined as a point where both the curvature and torsion of the curve or surface vanish at that point. The interpole serves as an important tool in various fields such as geometry, mechanics, and engineering, especially when dealing with curves and surfaces.