The Möbius Strip is a powerful symbol because it is the simplest possible form to expose the limits of our comprehension.
If you've never made one and played with it yourself, then please take the time to do so now. Pull a clean sheet from the office fax machine, cut a thin strip, flip one end 180 degrees and tape it into a loop and then just stare at it. Trace it's one side and one edge for the rest of the day. It will be mildly mesmerizing.
At least we are better off than chickens, who cannot even fathom the straight line.