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In mathematics, a Möbius strip, Möbius band, or Möbius loop [a] is a surface that can be formed by attaching the ends of a strip of paper together with a half-twist. As a mathematical object, it was discovered by Johann Benedict Listing and August Ferdinand Möbius in 1858, but it had already appeared in Roman mosaics from the third century CE .
In the mathematical field of graph theory, Tietze's graph is an undirected cubic graph with 12 vertices and 18 edges. It is named after Heinrich Franz Friedrich Tietze, who showed in 1910 that the Möbius strip can be subdivided into six regions that all touch each other – three along the boundary of the strip and three along its center line – and therefore that graphs that are embedded ...
a much simplified drawing and valid SVG code: 15:23, 11 February 2006: 313 × 313 (5 KB) Ilmari Karonen: A en:Möbius strip constructed by joining the top and bottom sides of a square together so that the directions of the arrows match.
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 ...
The Möbius strip is a surface on which the distinction between clockwise and counterclockwise can be defined locally, but not globally. In general, a surface is said to be orientable if it does not contain a homeomorphic copy of the Möbius strip; intuitively, it has two distinct "sides". For example, the sphere and torus are orientable, while ...
2005 saw the release of the Chinese movie Thru the Moebius Strip, based on a story by Giraud who also served as the production designer and the co-producer, and which reunited him with Arnie Wong, whereas his stint as concept designer on the 2012 animated science fiction movie Strange Frame, has become Giraud's final recorded motion picture ...
The easiest way to understand a Mobius Strip is to imagine a long strip of paper. Now imagine twisting it once. Put the two ends together to form a loop and that's a Mobius Strip. If you were to draw a line lengthwise down the middle of the strip, starting at the point where the two ends meet, you would start on the outside of the loop.
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