I wonder if chemists or material scientists will be interested in this result. The method described sounds similar to the kind of design done to create novel types of glass.
Just because this is Ramsey theory (which is often associated with really enormous numbers), I suspect the values of r involved here are way too big to be useful in chemistry or physics. By "really enormous" I mean bigger than the iterated Ackermann function of whatever, that sort of thing. This is without my knowing anything about the actual result though.