👉 The brachistochrone, also known as the fastest path through a tunnel or canyon, is a mathematical concept in physics and engineering that describes the path of an object moving along a straight line. It involves finding the curve on a two-dimensional plane (usually a plane with one dimension) that minimizes the time it takes to traverse a given distance. The brachistochrone curve is defined as follows: 1. The curve starts at the origin and ends at a point in the tunnel