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Möbius Strip

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0.16mm layer, 2 walls, 15% infill
0.16mm layer, 2 walls, 15% infill
Designer
1.2 h
1 plate
3.3(3)

0.12mm layer, 2 walls, 15% infill
0.12mm layer, 2 walls, 15% infill
53 min
1 plate

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The Möbius stripa topological structure, also rendered as the Mebius ring or Mabius band, possesses a singular surface and boundary. Independently discovered in 1858 by German mathematicians and astronomers August Ferdinand Möbius and Johann Benedict Listing, this structure is readily constructed by twisting a strip of paper halfway and joining its ends. Two distinct mirror-image Möbius strips exist, exhibiting bilateral symmetry. A clockwise twist yields a right-handed Möbius strip; a counterclockwise twist produces its enantiomer.

 

M ö biusband, also known as the Mebius ring or Mabius band, is a topological structure with only one face (surface) and one boundary. It was independently discovered by German mathematicians and astronomers August Ferdinand M ö bius and Johan Benedict Listing in 1858. This structure can be easily made by rotating a paper tape half a circle and then sticking both ends together. In fact, there are two different types of Mobius belt mirrors that are symmetrical to each other. If the paper tape is rotated clockwise and then pasted, it will form a right-handed Mobius tape, and vice versa.

 

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