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A thin paper strip with its ends joined to form a Möbius strip can bend smoothly as a developable surface or be folded flat; the flattened Möbius strips include the trihexaflexagon. The Sudanese Möbius strip is a minimal surface in a hypersphere , and the Meeks Möbius strip is a self-intersecting minimal surface in ordinary Euclidean space.
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The Möbius strip is a nontrivial bundle over the circle. Perhaps the simplest example of a nontrivial bundle E {\displaystyle E} is the Möbius strip . It has the circle that runs lengthwise along the center of the strip as a base B {\displaystyle B} and a line segment for the fiber F {\displaystyle F} , so the Möbius strip is a bundle of the ...