ParametricPlot3D[ {(1 + v/2*Cos[1/2*u])*Cos[u], (1 + v/2*Cos[1/2*u])*Sin[u], v/2*Sin[u/2]} , {u, 0, 2*Pi}, {v, -1, 1}]
moebius_strip.nb.zip
The Mobius Strip is a non-orientable surface. Other non-orientable surfaces include:
Moebius Strip