Oh, and to not stray off topic and answer the question- the answer is, of course, no, because geometry doesn't have to be studied by observing nature and can easily be studied completely independently of nature. This is clearly demonstrated by the way it was axiomitised (is this a word?) and study of this actually lead to the biggest breakthroughs in it (i.e. the discoveries of non-Euclidean geometries), which would have got nowhere by simply studying nature. It may have started
that way, but I don't know of many physicists researching geometry (only, perhaps, using it).