Anonymous at Tue, 15 Oct 2024 14:56:09 UTC No. 16432992

>>16432936
Mobius strip is the 2D analogue. Then you have higher dimensional ones.

Anonymous at Tue, 15 Oct 2024 15:13:03 UTC No. 16433020

>>16432992
mobius strip is cool as fuck because it actually exists

Anonymous at Tue, 15 Oct 2024 15:17:04 UTC No. 16433024

>>16433020
pretty sure you can buy a klein bottle.
Didn't some guy ruin himself by creating an surplus of klein bottles for a non-existing market?

Anonymous at Tue, 15 Oct 2024 15:21:42 UTC No. 16433031

>>16433024
As I understand a klein bottle is one of the
>higher dimensional ones
since there's not supposed to be a literal hole for the tube to pass back through

But yeah you could make something like that it would be a weird convoluted cup. Should the actual klein bottle function as a cup or not? I can't really visualize what it should be in 4d

Anonymous at Tue, 15 Oct 2024 15:30:48 UTC No. 16433050

>>16433031
You can always make a basin to hold water in it. Topology doesn’t care. A bowl holds water and it’s homeomorphic to a sphere. A cup with a handle is homeomorphic to a torus. What holds water or doesn’t is a subject of differential geometry (ie surface extrema)

Anonymous at Wed, 16 Oct 2024 12:13:36 UTC No. 16434262

>>16432936
I have a Klein shape in my pants, als je begrijpt wat ik bedoel

Anonymous at Wed, 16 Oct 2024 13:28:43 UTC No. 16434348

>>16432936
> This turns out to be equivalent to the question of whether the surface contains no subset that is homeomorphic to the Möbius strip. Thus, for surfaces, the Möbius strip may be considered the source of all non-orientability.
The Klein bottle is made by connecting the edges of a Mobius strip. Any shape with a Mobius strip inside it is non-orientable.

Anonymous at Wed, 16 Oct 2024 14:09:31 UTC No. 16434399

>>16433024
There was a market for them, but he stored them in a Klein warehouse, and now he can't get to them.

Anonymous at Wed, 16 Oct 2024 16:00:01 UTC No. 16434563

>>16434399
And yet, he is still inside the warehouse.

Anonymous at Wed, 16 Oct 2024 16:03:24 UTC No. 16434568

>>16433020
Klein bottle exists also. There are multiple proofs of it on wikipedia.

Anonymous at Wed, 16 Oct 2024 19:05:47 UTC No. 16434961

>>16434568
Yeah but it penetrates itself so it's not nice.

Anonymous at Wed, 16 Oct 2024 19:12:47 UTC No. 16434979

>>16434961
It doesn't penetrate itself. It's a smooth manifold without self intersections.

Anonymous at Thu, 17 Oct 2024 01:33:27 UTC No. 16435601

>>16432992
The Mobius strip is 3D, you can't have the out of plane rotation you'd need to create the required twist in only two dimensions. The true Klein bottle is a 4D shape, since the neck of the bottle doesn't actually intersect with the wall as it "passes through", which is only possible in 4D space. OPs image, as well as the Klein bottles you can buy online, are projections of the 4D shape into 3D space, so technically not a true Klein bottle.

Anonymous at Thu, 17 Oct 2024 01:45:54 UTC No. 16435609

>>16435601
um actually, a 4d klein bottle is just an imbedding of a klein bottle into 4d space, a TRUE klein bottle is a set of equivalence classes of points of a square. only schizos try to imagine this as a geometrical object.

Anonymous at Thu, 17 Oct 2024 02:20:23 UTC No. 16435619

>>16435609
>t. 109 IQ brainlet who thinks he's got a 140 IQ

Anonymous at Thu, 17 Oct 2024 02:42:01 UTC No. 16435641

>>16435619
He's right. You can embed a mobius strip in an appropriate non-euclidean 2D space, or a klein bottle in a non-euclidean 3d space. The fact that you can embed something in R^n doesn't mean it's really n-dimensional.

Anonymous at Thu, 17 Oct 2024 02:58:06 UTC No. 16435655

>>16434262
no that is a Kleinfelter's syndrome

Anonymous at Thu, 17 Oct 2024 03:06:55 UTC No. 16435659

>>16435641
>an appropriate non-euclidean 2D space
But you don't need wacky tricks like non-euclidean space to have a Mobius strip in 3D space. R^3 is the lowest dimensional space a Mobius strip can exist in its most basic form.

That's like saying you can compress the entire text of a dictionary into a single digital byte, by defining a lookup table such that the character "a" is equal to the entire text of the dictionary.

Anonymous at Thu, 17 Oct 2024 03:11:44 UTC No. 16435662

>>16435659
> exist in its most basic form
What does that mean? A mobius strip's only essential properties are topological and don't give a shit about embeddings. There is nothing special about embedding in R^3.
>That's like saying you can compress the entire text of a dictionary into a single digital byte, by defining a lookup table such that the character "a" is equal to the entire text of the dictionary.
No it isn't, that's retarded.

Anonymous at Thu, 17 Oct 2024 03:15:21 UTC No. 16435665

if you brap into a klein bottle does it stink

Anonymous at Thu, 17 Oct 2024 03:18:02 UTC No. 16435666

>>16435662
Not the Mobius strip's most basic form, R^3's most basic form. No non Euclidean bullshittery, or wormholes or whatever.

Anonymous at Thu, 17 Oct 2024 03:19:13 UTC No. 16435667

>>16434399
kek

Anonymous at Thu, 17 Oct 2024 03:22:32 UTC No. 16435672

i reel luv judo knotting with pots and pans and centering manifold mechanics/martial application

Anonymous at Thu, 17 Oct 2024 03:24:10 UTC No. 16435674

commit thought physicality (you should be able to solve this)

meanwhile a bathtub... 'start with the greeks'

Anonymous at Thu, 17 Oct 2024 03:30:15 UTC No. 16435682

>>16432936
tesseracts?

Anonymous at Thu, 17 Oct 2024 03:38:46 UTC No. 16435690

i didn't know frankenstein was so porous
(did someone say bladder?)
did someone say's dr. x?

Anonymous at Thu, 17 Oct 2024 03:47:54 UTC No. 16435703

how comeone sorry for quad posting.. how can no one see that meditation can be gravity blasted for longer longer aura centers of axial rotation (instructino siddhasana for look straight up, commit syncrony for push pull strength/relaxation (concentric eccentric double toned for flexibility, selfregulating, shitting), blasting chakra gravitationally)
it's elliptic onions btw
mental techniques/cognates involved 'pinwheel/flour kneedler 1st person vertically elliptical' '3rd person side view orient for set the torque center (axial insert)' 'changing the boundary arguments and committing them incremented over chakra stack'

is this helping?

Anonymous at Thu, 17 Oct 2024 03:49:48 UTC No. 16435708

>>16435703
beyond the limitation of you r body for example.

'elliptic-set bubble paladin'

Anonymous at Thu, 17 Oct 2024 09:27:43 UTC No. 16436006

>>16435667
gem

Anonymous at Thu, 17 Oct 2024 10:51:50 UTC No. 16436070

>>16435655
>Read about Klinefelter syndrome - a condition in which male babies are born with an extra X chromosome
I WILL HAVE XX CHROMOSOMES
I WILL NEVER BE A WOMAN
I WILL NEVER HAVE A WOMB
I WILL NEVER

Anonymous at Thu, 17 Oct 2024 10:56:22 UTC No. 16436074

>>16433024
Clifford Stoll, best known as the author of 'The Cuckoo's Egg', sells them.
>>16434399
Cute but in Stoll's case, he stores them under his house and has set up a tiny trolly system to bring them out as needed to fill orders.

Anonymous at Thu, 17 Oct 2024 10:57:51 UTC No. 16436075

There's such thing as a Klein Skull made by intertwining a mobius strip in a different way to the bottle.

Anonymous at Thu, 17 Oct 2024 11:03:20 UTC No. 16436080

>>16436074
Now in PotatoVision.
https://www.youtube.com/watch?v=08RckIMQ984

Anonymous at Thu, 17 Oct 2024 11:04:31 UTC No. 16436081

>>16436080
Thought fart thought

Anonymous at Fri, 18 Oct 2024 16:36:14 UTC No. 16438185

>>16432936
no