Tautochrone Curve

A curve is drawn from a cycloid which has the unique property of accelerating objects rolling down it according to their distance from the center. This means no matter where an object (I use a ball bearing) is placed on the ramp it will reach the center at the same time as another ball placed in any other location. Here is a video demonstration of the finished product: https://youtu.be/j5P2yoasPmA.