In <https://plus.google.com/108432079989441783124/posts/LHewqvcj5Xo> T. Abderrahman explains what Borromean rings are. As I noticed in a comment, the underlying order structure is the same as in Condorcet's paradox, and as a former student in physics, I wonder if this structure could explain why in quantum chromodynamics, quarks appear in triplets where each element has its own "color" (precisely "red", "green, and "blue", so that we only observe "white" particles). Is there thus a representation theoretic (as elementary particles are irreducible representations of Lie groups) manifestation of this peculiar order structure ? 



Borromean rings, Condorcet's paradox and Quantum chromodynamics
[Brunnean links](https://en.wikipedia.org/wiki/Brunnian_link)--in which cutting any component knot leads to the separation of all component knots--exist for any $n>0$ (not just $n=3$ for Borromean links) and Condorcet's paradox also holds for any $n>2$, so any possible relation between them is irrelevant to the specific number three of colors in quarks of interest in the question. 


