Möbius Objects and Animations

Möbius strip - Wikipedia, the free encyclopedia

The Möbius strip or Möbius band (pronounced UK: /ˈmɜːbiəs/ or US: /ˈmoʊbiəs/ in English, [ˈmøːbi̯ʊs] in German) (alternatively written Mobius or Moebius in English) is a surface with only one side and only one boundary component. The Möbius strip has the mathematical property of being non-orientable. It can be realized as a ruled surface. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858.[1][2][3]

The Möbius Gear

One can think of the black portion in the image as the ring with a fixed zero input velocity. A single blue gear is a planet, and the white strip is the sun. Output can be taken either from the sun or the planets (with no regard for practicality!). In practice, however, it’s easiest to actuate the Möbius strip (the white portion).
The end result is a functional prototype, but rotating the middle ring without having the blue gears pop out is a little tricky. If you’re so inclined you can download a description of the entire process from modeling to fabrication.

Collected from: Mobius Gears

Collected from: The Möbius Gear

Collected from: YouTube - Moebius gear