Can you put a ship inside a Klein bottle?

36 points · 25 comments · view on lemmy.world

25 Comments

sploosh@lemmy.world · 37 pts · 1y (6 replies)

Klein bottles have no inside, so no. Either that or everything is in every Klein bottle.

Boddhisatva@lemmy.world · 25 pts · 1y (2 replies)
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Quill7513@slrpnk.net · 8 pts · 1y (1 reply)

the ship would be put in the kline bottle upon the kline bottle's creation

Nougat@fedia.io · 7 pts · 1y

All Klein bottles are inside all Klein bottles.

Beacon@fedia.io · 3 pts · 1y (2 replies)

I don't think that's quite a valid statement. You could create a klein bottle that has an object locked into the void area. By the colloquial definition of "inside", the ship would be contained inside the bottle

sploosh@lemmy.world · 4 pts · 1y (1 reply)

I feel like Klein bottles are famously the exception to colloquial notions of "inside." Do Möbius strips have two sides because colloquially nothing has only one side?

LordGimp@lemm.ee · 4 pts · 1y

Mobius strips actually have two sides. The face and the edge. Both wrap around twice.

Toes@ani.social · 30 pts · 1y (1 reply)

wetbeardhairs@lemmy.dbzer0.com · 3 pts · 1y

Well no, but actually yes.

Treczoks@lemmy.world · 26 pts · 1y (3 replies)

All ships actually are already in all Klein bottles.

sga@lemmings.world · 2 pts · 1y (2 replies)

by a very specific definition of "inside"

Treczoks@lemmy.world · 4 pts · 1y (1 reply)

The specifics were already covered by the term "Klein bottle". Everything is inside all Klein bottles. You, me, and the universe.

meekah@lemmy.world · 2 pts · 1y

All currently existing Klein bottles.

It seems obvious but I feel like specifying is necessary when talking about abstract things like 4d shapes.

untakenusername@sh.itjust.works · 16 pts · 1y

yesn't

for those who don't know what this is, https://en.wikipedia.org/wiki/Klein_bottle and image

dmention7@lemm.ee · 11 pts · 1y (2 replies)

I'd ask the inverse. What definition of "inside" can you apply to a traditional bottle--so as to say that a ship is inside the bottle--that could not also be applied to a Klein bottle? Both of them have a single opening that leads to an enclosed, dead-ended volume.

A Klein bottle may only have one surface, and therefore you can argue it has no topological inside. But a traditional bottle is topologically equivalent to a flat disc, so the same logic would say you can't put a ship inside one of those either.

SparroHawc@lemm.ee · 1 pts · 1y (1 reply)

Once you put a cork in the neck of the bottle, it is no longer a disc and can contain other objects.

dmention7@lemm.ee · 3 pts · 1y

True, but can't you cork a Klein bottle just as easily?

captain_aggravated@sh.itjust.works · 5 pts · 1y

Ask Randall Monroe.

TheButtonJustSpins@infosec.pub · 4 pts · 1y

Yes

BigMikeInAustin@lemmy.world · 4 pts · 1y

Well, there's also this:

Can You Fill a Shape That Has No Inside? - The Action Lab

https://www.youtube.com/watch?v=DdHd8yWyysE&ab_channel=TheActionLab

Krudler@lemmy.world · 3 pts · 1y (3 replies)

This actually is a stupid question

technopagan@lemmy.world · 0 pts · 1y (2 replies)

Well, that's the whole idea of this community, isn't it?

theOneTrueSpoon@feddit.uk · 2 pts · 1y

No. It says it right in the name. No Stupid Questions /s

Krudler@lemmy.world · 1 pts · 1y

If a question is structured such that it's unanswerable you've got a stupid question on your hands.

Everybody knows that "no stupid questions" means you're not supposed to be embarrassed by asking something you don't know.

But when you show up asking a specifically unanswerable question, you're just a troll. Yes a harmless troll but it's just trolling; it's just time wasting.

FartsWithAnAccent@fedia.io · 2 pts · 1y

No, you would have to make the bottle around the ship.

Fleur_@aussie.zone · 1 pts · 1y

No but you could project one onto its surface