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14 answers

No, but if I make you turn into a 2 dimensional creature, and put you in a two dimensional world, you won't know.

Now, give me the 10 points before I decide to turn you into a one-dimensional creature and --poof--you vanish.

Okay. Time to debunk the mobius myths. A mobius is a purely theoretical form -- a continuous single loop with no beginning or end. Can't make one. You can simulate one by twisting a strip of paper and mating the ends, or create an illusion of one in a drawing, whether drawn, painted or an image generated on a computer. A paper simulation is not a continuous loop with no beginning or end no matter how well you craft your model. It will always have a beginning and an end, unless you've mastered the trick of stepping out of space-time as we know it.

2006-06-26 16:58:50 · answer #1 · answered by go away 3 · 5 0

Well, "strip" might be more accurate than "sheet".....take a strip of paper, twist one end 180 degrees and fasten the two ends together. To prove it has only one side, run your finger around the structure, being very careful to keep your finger flat against the "side". The name for this structure is a mobius strip.

2006-06-27 04:17:26 · answer #2 · answered by Anonymous · 0 0

If I've understood your question correctly, the answer is no. You'd need to make the piece of paper two-dimensional. In which case, the paper would not exactly be a piece of paper, but a picture of paper on a computer screen or on an actual piece of paper. Any tangible piece of paper is three-dimensional, and therefore 2-sided.

2006-06-26 16:06:49 · answer #3 · answered by lizard01007 3 · 0 0

Yes.

Take the sheet of paper, twist 180 degrees, then tape the ends together.

2006-06-26 16:07:40 · answer #4 · answered by BigDave 1 · 0 0

A mobius loop has only one side
Take a strip of paper,twist it once and glue the ends together

2006-06-27 02:29:28 · answer #5 · answered by salforddude 5 · 0 0

Yes, the term is a "Mobius strip" from a branch of mathematics called topology.

It is also a commonly asked quiz bowl question in high school and college.

2006-06-26 19:55:22 · answer #6 · answered by G. Rex 3 · 0 0

Nope, it's a 3D world. Even a piece of paper has a very thin side/edge making it in third dimension like the rest of us.

2006-06-26 16:07:32 · answer #7 · answered by Indigo 7 · 0 0

I don't envision such a thing. Any "sheet" can be turned over, so there are automatically two sides--a top and a bottom, if you will.

2006-06-26 16:06:30 · answer #8 · answered by tdw 4 · 0 0

yes you can. you can do the same with a rubberband. just twist it and connect the ends. I am sure a lot of people have seen the shapes in some calculus books.

2006-06-26 16:06:36 · answer #9 · answered by giggssoccer83 3 · 0 0

Ummm, sure if you glue one side to a desk (or something) then you'll only have one side to work with...

2006-07-01 20:41:09 · answer #10 · answered by ditzychik508 5 · 0 0

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