The Mebius's tape represents a tape, in which the end have connected with the beginning in circle. But, before connecting, have turned one of the ends on 180 degrees relatively another.

Despite on that the Mebius's tape has no the direct relation to , I have decided to public this paper in the site. Origami opens for us transformation of space with the help of a paper. The Mebius's tape makes almost too.

Attractity of it consists that as against an ordinary sheet of a paper it has only one surface, instead of two. That is, if to begin to paint over a sheet of a paper, not passing through a one side to another, only one one side of paper will be painted over. If to do same with the Mebius's tape, the tape will be painted over from all sides.

The riddles proceed and when we begin to cut the Mebius's tape. What will be if to cut a usual sheet of a paper? Certainly two usual sheets of a paper. But what happen if to cut on the central line the Mebius's tape? The paper will not break up to two parts, and remain whole. And has a similar kind with the Mebius's tape. Only will be overwound twice, and on this times has two surfaces, instead of one as in the beginning.

How you think, what becomes with this stripe, if it to cut again? Can be, again there will be one whole, but overwound strip of a paper? No. It will be already two linked rings.

Such interesting metamorphoses harbour in itself the Mebius's tape. You can show to friends these phenomena, giving out them as tricks, whereas actually you simply will show to them the mathematical laws.


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