Visualizing Math

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radarman1946:

Escher’s Ants and the Mobius Strip
A Mobius strip is a ONE-SIDED two dimensional object. Take a flat strip of paper and join the two ends after twisting one end 180 degrees. Now put the strip on a hard surface and trace a line on it with a pencil without lifting the pencil until your line meets up with the beginning of itself. This will prove that the object has only a single side. Escher’s ants, above, will walk on what looks like both sides of a two sided object, but watching one of them will reveal they manage to do this without ever leaving the surface of the strip, because it now has just ONE SURFACE.

(via radarman1946-deactivated2014072)

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