Define mobius strip
(Constant) zero curvature: This may also be constructed as a complete surface, by starting with portion of the plane R2 defined by 0 ≤ y ≤ 1 and identifying (x, 0) with (−x, 1) for all x in R (the reals). The resulting metric makes the open Möbius band into a (geodesically) complete flat surface (i.e., having Gaussian curvature.
The Möbius strip or Möbius band is a surface with only one side and only one edge. It can be made using a strip Topologically, the Möbius strip can be defined as the square [0,1] × [0,1] with its top and bottom sides identified by the relation (x, 0) ~ (1 − x, 1) for 0 ≤ x ≤ 1, as in the diagram on the right. The Möbius strip is a.
The Möbius Strip
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Description:Cut a long strip of paper. The strip should be several centimeters across, and the length should be much longer than the width. Bring the ends together to make a simple loop.