Ants on a Mobius Strip by M.C. Escher Very roughly a surface is orientable if it has two sides so that, for example, is it possible to paint it with two different colours.
A Möbius strip, Möbius band, or Möbius loop also spelled Mobius or Moebius, is a surface with only one side (when embedded in three-dimensional Euclidean.
Shaping Up a Möbius Strip like M. C. Escher, whose painting Möbius Strip II shows ants in a never-ending crawl on this curious surface.
For the ants in Escher's picture to be walking on a Mobius strip they would have to be walking on nothing. And clearly that is not the case.
All M.C. Escher works © Cordon Art BV - Baarn - the Netherlands. Mobius-strip-II. jpg. Möbius Strip II (Red Ants). 1963. Woodcut. 17 7/8 x 8 1/8.