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foreign [Music] for the past two videos in this series weve looked at how to design a road for any given wheel to roll smoothly on and vice versa and explored some of the strange but fascinating road wheel couples that emerge such as how a square wheel or any polygonal wheel roll smoothly on a road made up of a chain of upside down catenary curves or how an ellipse rolls smoothly on a sine wave but only if its axle is located at a focus point or how two identical parabolas can roll smoothly on each other in this video well extend what we learned to the case not where a wheel rolls on a road but where you have a wheel rolling around another wheel and see how to design the ideal partner wheel for a given Source wheel so that they both roll smoothly around each other while making some pretty cool other discoveries along the way such as a wheel that rolls smoothly around a copy of itself and how to generate other examples once again Ill recommend you watch the previous episodes first i