Spyke
lemmy.world

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

37

All Klein bottles are inside all Klein bottles.

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Beaconreply
fedia.io

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

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splooshreply
lemmy.world

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?

4

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

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Treczoksreply
lemmy.world

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

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All currently existing Klein bottles.

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

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lemm.ee

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.

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SparroHawcreply
lemm.ee

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

1

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

3

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.

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