Moebius Strip

moebius strip R2ByG
moebius strip
ParametricPlot3D[{(1 + 1/2 v Cos[u/2]) Cos[ u], (1 + 1/2 v Cos[u/2]) Sin[u], 1/2 v Sin[u/2]},
{u, 0, 2 Pi}, {v, -1, 1},
Axes -> False, Boxed -> False,
 BoundaryStyle -> {Thin, Black}, PlotPoints -> 25,
 PlotStyle ->
  Directive[RandomColor[], Opacity[0.7], Specularity[White, 30]]]

The Mobius Strip is a non-orientable surface. Other non-orientable surfaces include: