By following this line with your finger without lifting your finger from the surface, when your finger has traveled the length of the strip, it is on the other side of the piece of paper from the starting position. At the end of the page, you will see a Valentine's day card with the heart made purely through math! I can account for one full twist--the identification of the top left corner with the bottom right is a half twist; similarly, the top right corner and bottom left identification contributes another half twist. Already answered Not a question Bad question Other. The result is shown below. Then tape the ends together.
Cutting Mobius strip in half? Sign up using Email and Password. Angewandte Chemie International Edition. In truth, the surface was described independently and earlier by two months by another German mathematician J. One caveat is however in order. Keep cutting parallel to the edge until you come back to your starting point. The circles aren't even circles.
How to Make a Mobius Strip: 7 Steps (with Pictures) - wikiHow
I have discussed rotation of a plane on my cycloids pages. Or it must might do strange things that you could catch in your own code if you were doing it yourself. Like a normal loop, an ant crawling along it would never reach an end, but in a normal loop, an ant could only crawl along either the top or the bottom. We can imagine this in this way: Instead of getting two strips, the result is a single strip with one full twist.
Description: I can visualize that pretty easily. Even in the case of two cylinders the result will surprise most of the parents, not to mention their kids. There is one half-twist in the smaller loop. The question is, what would happen if we tried to apply that inverse procedure to an original Mobius strip?