  The golden ratio and Fibonacci numbers are found to occur in various aspects
of nature. We discuss the occurrence of this ratio in an interesting physical
problem concerning center of masses in two dimensions. The result is shown to
be independent of the particular shape of the object. The approach taken
extends naturally to higher dimensions. This leads to ratios similar to the
golden ratio and generalization of the Fibonacci sequence. The hierarchy of
these ratios with dimension and the limit as the dimension tends to infinity is
discussed using the physical problem.
