How to Design a Wheel That Rolls Smoothly Around Any Given Shape

Go to to get started learning STEM for free. The first 200 people get 20% off an annual premium subscription. In previous videos, we looked at how to find the ideal road for any given wheel shape and vice-versa, but what about getting two wheels to roll smoothly around each other? Would two such wheels work as gears? Episode 1: Episode 2: =Chapters= 0:00 - Intro 1:23 - Defining smooth rolling 2:30 - Sidenote about gears 3:16 - The Wheel-Coupling Equations 7:34 - Sanity check 9:24 - The partner for an ellipse 12:24 - The connection between ellipses and parabolas 13:23 - Finding self-coupling wheels 16:35 - The partner for a square 19:21 - A look back 20:20 - A fractal wheel?? 20:47 - Brilliant ad =============================== I would also like to thank the user @BeekersSqueakers whose comment I think it was that taught me that a partner wheel can be