👉 In mathematics, a plowpoint is a point on a curve or surface where the curvature of that curve approaches zero. This concept is particularly useful in applications involving the study of curves and surfaces, such as geodesics, which are curves on a three-dimensional space that minimize the sum of squared distances from any point to the curve. A plowpoint can be defined as a critical point of the curvature function of the curve at that point. The curvature function is a measure of how steep or