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#1
07-24-2016, 02:28 AM
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Klein Bottle
This model is a 3 dimensional representation of a Klein bottle. It illustrates that a Klein bottle comprises 2 Mobius bands connected by a conventional 2 sided surface.
It is made with just 2 pieces of card.
__________________
A man who never made a mistake never made anything. 
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#2
07-24-2016, 02:47 AM
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Very cool!
There are many people now who believe that the earth is flat. (crazy, right?) I believe the earth is a Klein Bottle.
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ZarkovModels Store ModelArt :: Models by Marek :: Murph's Models :: Heinkel Models :: Wagner Models :: Thaipaperwork :: Lachezar Dragostinov :: Der Kampfflieger Support us on Patreon
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#3
07-26-2016, 02:46 AM
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Voila!
If you cut the blue and red bits out you get 2 Mobius bands and a simple 2 sided strip.
And if you cut a band down the middle you get the band twice as long with a double twist. I will have to put tabs on the mitres though!
__________________
A man who never made a mistake never made anything.
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#4
07-26-2016, 06:36 AM
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It looks like the track plan of "A Subway Named Moebius."
Internet Book List :: Book Information: Subway Named Moebius, a Don
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#5
07-26-2016, 08:44 AM
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That is a nice looking Klein bottle.
The Japanese Gallery on the Pepakura site has a Klein bottle in PDO format. ID:00029. Japanese Pepakura Gallery ID: 00029 It is good to see the different ways that people represent the same idea. 
__________________
~Doug~ AC010505 EAMUS CATULI! Audere est Facere THFC 19**-20** R.I.P. it up, Tear it up, Have a Ball
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#6
08-10-2016, 04:15 AM
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A Klein what? Crikey, I had never heard of such a thing until now! For the others out there, like me, who are new to such things, have a look here:
https://en.m.wikipedia.org/wiki/Klein_bottle
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#7
08-11-2016, 01:22 AM
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Just for fun
Mobius Band
Cut a 50mm (2") strip from the long side of an A4 or letter size sheet of print paper. Glue the ends together with a half twist. Cut along its length down the middle and 1) What do you get? Cut down the middle again and 2) What do you get? And the last question, With the remainder of the sheet of paper, can you join the long edges together with a half twist?
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#8
08-11-2016, 11:50 AM
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Ah, the Klein Bottle. A completely misunderstood object.
Our eyeballs are klein bottles, as are the heads of our femur bones, to name just a few vital parts of our anatomy. The legs in my avatar are the two mobius strips that form, ....a klein bottle!
__________________
For best results, avoid doing stupid things.
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#9
08-11-2016, 08:16 PM
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What a clever, and appreciated, contribution!
__________________
"One does not plow a field by turning it over in his mind..."
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#10
08-12-2016, 01:44 AM
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The Klein Bottle should actually be visualised as a 4 dimensional object. Hence there is no need for the base to penetrate the bottle wall in order to attach to the rim.
I am careful to describe my model as "A 3 dimensional representation of a Klein bottle".
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