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#1 2013-04-17 14:28:15

TheTick
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Registered: 2012-12-03
Posts: 27

Mobius Strip Problem

You have strip 1 and 2 connected at the ends (flattened) see pic..

Using your intuition answer;

1)Can 1 be made to look like 2?

2)Assuming edges of paper are parallel, and that both strips of paper are the same length. Would the distance from point A to point A be the same as the distance from point B to point B, assuming you traveled parallel to the paper for both A and B.

3)Are they even mobius strips?

8658729323_d5063c7ea4_z.jpg


Spooooon!!!

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#2 2013-06-26 14:27:50

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 15,356
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Re: Mobius Strip Problem

1. Yes. You just need to flip one of them.
3. Yes, they are


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#3 2013-06-26 16:53:27

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,886

Re: Mobius Strip Problem

Have you tried makng them and flipping on of them?

And, they are not Möbius strips.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#4 2013-06-26 17:49:56

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
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Re: Mobius Strip Problem

Sorry, The flipping did not work.

The second one is a mobius strip. I think the first one is too.


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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#5 2013-06-26 18:53:42

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,886

Re: Mobius Strip Problem

The first one isn't. The second one is. The first one has a 3x180 degree turn, while the second one has just 1.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#6 2013-06-26 20:47:00

phanthanhtom
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Registered: 2012-06-22
Posts: 215

Re: Mobius Strip Problem

Well as long as there are an odd number of 180 degree turns then it's called a mobius strip. As long as it has only 1 face.

Last edited by phanthanhtom (2013-06-26 20:49:46)

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#7 2013-06-26 20:51:23

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,886

Re: Mobius Strip Problem

Well, not really. First of all, the number of 180 degree turns must be odd. Second, it depends on the definition of the Möbius strip.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#8 2013-06-26 20:53:04

phanthanhtom
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Registered: 2012-06-22
Posts: 215

Re: Mobius Strip Problem

I have edited my post and it says odd now. Anyway, odd is enough. In Vietnam any strip with twists are called Mobius strip, whatever the number is, but internationally it's either a) 1 twist b) odd number of twist. I like the b definition more.

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#9 2013-06-26 20:58:32

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 14,886

Re: Mobius Strip Problem

Well, it is true that topologically, as long as the parity is the same, the strips are the "same". I do not remember what the relation is called, but, either way. one cannot be turned into the other without going to the 4D space.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#10 2013-06-28 01:23:22

Agnishom
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From: The Complex Plane
Registered: 2011-01-29
Posts: 15,356
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Re: Mobius Strip Problem

phanthanhtom wrote:

Well as long as there are an odd number of 180 degree turns then it's called a mobius strip. As long as it has only 1 face.

I agree. Anonymnistefy, have you seen that it has only one face?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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