Two sides, there's actually one "flat"side and one "edge". It's an anomaly of phyisical structure.
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He invented the Mobius Strip The Mobius Strip is a one sided surface. It is made my twisting a strip of paper and taping the two ends together.
Karl Friedrich Gauss
According to www.answers.com, a mobius strip is a continuous one-sided surface that can be formed from a rectangular strip by rotating one end 180° and attaching it to the other end.
A mobius strip is not directly related to religion. It is simply a mathematical object, with unusual characteristics. Given that a mobius strip has only one side, some might argue that religion is one-sided! Or, another way to use a mobius strip to illustrate the benefits of religion is that progress enables one to see both sides of a matter, from 'inside' and 'outside'! The unusual characteristics of mobius strips have been used in many ways by thinkers, philosophers, writers and scientists to help explain different aspects of life, thinking, change, self, otherness, regeneration etc. However, in whatever way the mobius strip may be used metaphorically, e.g. to illustrate an aspect, or a feature, of religion, ultimately this would only be just an illustration, and an illustration doesn't prove anything! For those interested in the mobius strip, or want to know more about how it has been used to explain 'metaphysical' matters , the links in 'Related Links' below provide some further information.
The 2 dots indicates a diacritical mark called an 'Umlaut' .