If it is not necessary that projections of every two components have a
crossing point, an infinite number of "fractal" Borromean
links derive from each n-Borromean link in a very simple way.
Indeed, it is enough to surround the appropriately chosen crossing points
of components by circles. Therefore, our considerations will be restricted
to n-Borromean links without nonintersecting projections of components.

"Fractal" Borromean link, where the break of the red component produces
a trivial link, and the break of the green component a nontrivial link.