You may have seen how a circle rolling inside another of a larger radius generates a hypocycloid, but hypocycloids can “roll” (they actually slide a bit) within one another as well. I found this gif on John Carlos Baez’s [blog](https://johncarlosbaez.wordpress.com/2013/12/03/rolling-hypocycloids/), where he points out the connections between hypocycloids, particle physics, and representation theory.
You may have seen how a circle rolling inside another of a larger radius generates a hypocycloid, but hypocycloids can “roll” (they actually slide a bit) within one another as well. I found this gif on John Carlos Baez’s [blog](https://johncarlosbaez.wordpress.com/2013/12/03/rolling-hypocycloids/), where he points out the connections between hypocycloids, particle physics, and representation theory.