M\"obius strips before M\"obius: Topological hints in ancient   representations
  August M\"obius discovered his eponymous strip --- also found almost contemporaneously by Johann Listing --- in 1858, so a pre-1858 M\"obius band would be an interesting object. It turns out there were lots of them. 
Julyan H. E. Cartwright and Diego L. Gonz\'alez
math.HO