Cycloidal motion refers to the path traced by a point on the circumference of a circle as it rolls along a flat surface without slipping. This motion creates a distinctive curve known as a cycloid. The cycloid consists of a series of arches, with each arch corresponding to one complete revolution of the circle. In physics, cycloidal motion is significant because it demonstrates the principles of rolling motion and can be used to analyze the motion of objects. The cycloid has unique properties, such as being the solution to the problem of the brachistochrone, which seeks the fastest descent between two points under the influence of gravity.