[2017-10-22] Topology

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[2017-10-22] Topology

Postby kaitou » Sun Oct 22, 2017 2:13 pm

How does one inflate a Klein bottle (since inflating is putting air (or some other gas) inside a container)?

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Re: [2017-10-22] Topology

Postby NotATopologist » Sun Oct 22, 2017 2:35 pm

Obiously, any "real" 3d representation of a klein bottle will have walls with thickness greater 0. You could inflate those walls, like a twisted air mattress. Where's the kickstarter?

Re: [2017-10-22] Topology

Postby J Arthur » Mon Oct 23, 2017 2:50 am

The same way one exflates it.
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Re: [2017-10-22] Topology

Postby gvest » Mon Oct 23, 2017 9:35 am

There is a much simpler way of solving this problem- simply having sex outside one thing but inside another (which also contains the first thing.)
Unless the whole point was to engage in mental masturbation...

Re: [2017-10-22] Topology

Postby NeatNit » Mon Apr 22, 2019 6:21 pm


The simplest way I can think of is to not have the hole cut in the intersection. That way there is, in fact, an inside and an outside, with no way to get from one to the other (save for an inflation hole presumably installed). Arguably it misses the point of being a Klein bottle, being nothing more than a weirdly-shaped beach ball, but to some extent all 3D Klein bottles are compromises anyway because of this intersection so I'm not that worried about it.

Surprisingly, a Google search for "inflatable Klein bottle" finds nothing relevant! I think it's likely that someone has tried that, so it's likely that it doesn't work, i.e. isn't rigid enough or doesn't look very good when inflated. What a shame. I'd be happy to be proven wrong though!

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Re: [2017-10-22] Topology

Postby AlixeTiir » Mon Apr 22, 2019 11:29 pm

NeatNit wrote:I think it's likely that someone has tried that ... I'd be happy to be proven wrong though!


however, being that I have no skill at making inflatable objects nor anything useful, I defer to that other guy.

NotATopologist wrote:Where's the kickstarter?
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