  In this pedagogical paper, John S. Bell's amusing example of Dr. Bertlmann's
socks is reconsidered, first within a toy model of a two-dimensional one-sided
world of a non-orientable M\"obius strip, and then within a real world of
three-dimensional quaternionic sphere, S^3, which results from an addition of a
single point to R^3 at infinity. In the quaternionic world, which happens to be
the spatial part of a solution of Einstein's field equations of general
relativity, the singlet correlations between a pair of entangled fermions can
be understood as classically as those between Dr. Bertlmann's colorful socks.
