A Möbius band is the surface p(u, v) = ((1 + v cos(u/2)) cos u, (1 + v cos(u/2)) sin u, v sin(u/2)), a strip with one half twist. A walker on the centre line keeps its head along the normal N = pᵥ × pᵤ. Since pᵥ changes sign after one lap, N(u + 360°) = −N(u): at 360° the
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