Wow, Simó's Choreographies are nuts, how all three bodies can just follow a single convoluted orbit, at different phases from each other. Nuts!

This one: https://www.threebodyorbits.com/orbit/simo2001_sc301_1_1_1

One body slowly goes around the big lobe on the left, while the other two dance around each other along the smaller orb. But when when the three meet, the one that had been following the large lobe swaps into the smaller lobe, effectively changing places.

Change the color scheme to "Cyberpunk" which gives the bodies vividly different colors, and slow to 0.25x speed to see it clearly.