Observe it's elegance visually and intellectually, of its concept, form and physics. As the curve that is traced by a point at the edge of a circle while it rolls, the cycloid is an elusively simple yet fundamental curve. Its simplistic elegance extends beyond mathematics and into the physical world.
On either side drop a ball; one at the top and one at the middle. How quickly will they reach the bottom. Will the lower ball get there twice as fast? No. They will reach the bottom at the same time! In fact, it doesn't matter from what heights you drop the balls. They will always reach the bottom at the same time! A millimeter or 15 centimeters (half it's the track length); it doesn't matter.
Great for classroom demonstration of the tautochrone property of the cycloid, this set also captures the cycloid and allows you to fully see what is already beautiful in concept. Balls available in shop.
For Cycloid Track Plus only:
However, drop the solid cylinder and the hollow cylinder of the same weight from the same height on either side and they will reach the bottom at different times!