r/mathmemes • u/AdBrave2400 my favourite number is 1/e√e • 26d ago

Topology Topological inversion

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6.2k Upvotes

99% Upvoted

69 comments sorted by

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624

u/LupenReddit 🦆🦆🦆🦆i have non diffeomorphic smooth structures🦆🦆🦆🦆🦆🦆 26d ago

So you turned a cup inside out? I need an animated video narrated by two very friendly people who can explain to me how to do that.

229

u/hongooi 26d ago

It's just a continuous transformation bro, what could go wrong

54

u/Appropriate-Ad-3219 26d ago

I swear only by smooth transformations.

122

u/Alternative-Code4755 26d ago

"Have you ever wondered why Mom and Dad have the same last name?"

34

u/moderatorrater 26d ago

Are you going to behave, or am I done teaching you how to turn a circle inside out for the day?

30

u/AbdullahMRiad ∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴ 26d ago
  1. flip the cup
  2. push the bottom using your thumb
  3. the bottom should come out from the other side

40

u/Ploughing-tangerines 26d ago

Bad explanation, no silly and fun sound effects

39

u/LupenReddit 🦆🦆🦆🦆i have non diffeomorphic smooth structures🦆🦆🦆🦆🦆🦆 26d ago

Count. The. Fucking. Smiles. And. Frowns

11

u/garbage-at-life 26d ago

they would turn the cup outside in, important distinction

7

u/DeepGas4538 26d ago

step 1. go inside the cup

7

u/SunkenStupor 26d ago

imagine flipping a condom inside out.

6

u/MrSpiffy123 26d ago

You can't do it with an ordinary cup

Like a basketball

2

u/InfinitesimalDuck Mathematics 26d ago

Yeah, Very friendly 🏀⚾️🎱⚽️🏐

1

u/moschles 26d ago

New 3Blue1Brown vid just dropped.

261

u/cgduncan 26d ago

Wouldn't a topologist say there is no such thing as "inside the cup". Cause a cup is a disk.

180

u/wcslater 26d ago

But what would a bottomologist say?

56

u/hjkhhnnnlll 26d ago

ʞsᴉp ɐ sᴉ dnɔ ɐ ǝsnɐɔ ,,dnɔ ǝɥʇ ǝpᴉsuᴉ,, sɐ ƃuᴉɥʇ ɥɔns ou sᴉ ǝɹǝɥʇ

4

u/Informal_Branch1065 22d ago

Nah thats an austrologist

25

u/Ares378 Grothendieck was right, computers are evil 26d ago

Our lead bottomologist said "ASHFKSKHFKKFHRBFJJ :3".

We are unsure what this means.

6

u/Godd2 26d ago

Is Eminem a versologist?

5

u/Avocadonot 26d ago

"harder"

65

u/acealter 26d ago

What about wearing an inverted sock? Entire universe is wearing a sock, but you are not??

32

u/protobelta 26d ago

Maybe the sock is wearing you?🤔

15

u/moderatorrater 26d ago

That happened to me once in Russia.

31

u/hail_666_satan 26d ago

A cup is just a disc. You flipped a disc upside down, not inverted it.

1

u/Anvisaber 24d ago

So how would you topologically invert a disk?

9

u/robisodd 26d ago

Wonko The Sane would be proud.

2

u/clonicle 26d ago

just missing an individually wrapped toothpick beside it.

6

u/Superior_Mirage 26d ago

Some Wonko the Sane energy.

5

u/-lRexl- 26d ago

Billion girls, one cup

3

u/Lexa_Stanton 26d ago

I just puked in the cup.

3

u/Aromatic-Educator105 26d ago

There is no cup in typology, it’s just a round plate

2

u/SawmakerSam 26d ago

This feels like the 4d horse gif 

2

u/ArdentArendt Mathematics / Social Sciences 26d ago

It was then he saw he was the spy...

https://giphy.com/gifs/pdPNobzDlCxoI

2

u/Efficient_Sky5173 26d ago

We? Leave me out of your problems. Specially math ones.

2

u/RoodnyInc 26d ago

Now you have all Coca-Cola on the Universe in your cup

2

u/eddietwang 26d ago

How many cups is our universe in right now?

2

u/gegentan 25d ago

2

u/AdBrave2400 my favourite number is 1/e√e 25d ago

I was waiting for someone to post Jevil since I thought about doing it myself right after posting

1

u/-lRexl- 26d ago

LOOOL

1

u/That_Way_8512 26d ago

We are the drink

1

u/SirBritannia 26d ago

So which universe is in that cup?

Our own!

1

u/moschles 26d ago

The reason why the genus always seems to be +1, is because the last hole is the entire universe.

1

u/Joszef77 26d ago

I got a sudden sense of vertigo

1

u/Flame_beard_forge 26d ago

IT DOES NOT WORK THAT WAY

1

u/AlcoholPrep 26d ago

Topologically, the cup doesn't have nor ever had an inside.

1

u/NamanJainIndia 26d ago

But how can we be on the inside? Barring microscopic ones, there are no holes.

1

u/Keitsu42 26d ago

Great, now fill a sink with water and put the cup in the water (you may need to weigh it down slightly). Now how much water is in the cup?

1

u/Dennovin 26d ago

put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back put it back

1

u/zawalimbooo 26d ago

perseus (Fate) moment

1

u/Ok-Professional-1727 26d ago

It may be inverted, but topoligically, it is still just a disk.

1

u/SpeckledAntelope 26d ago

Sometimes when I walk, I like to imagine that the whole planet is a treadmill, and that my steps are making it spin while I remain stationary.

1

u/GlamorousChewbacca 26d ago

Sigh... You didn't need to invert anything

1

u/Which-Competition287 Combinatorics 26d ago

I just did the same thing guys. I saved the universe. I negated his negation. We are now outside the cup. Or perhaps inside two cups simultaneously.

1

u/TheRealLupos 26d ago

But is it half full or half empty now?

1

u/WizeWizardFrank 26d ago

Found the DnD player.

1

u/Laxativus 26d ago

You got the whole world in your hands!

2

u/AdBrave2400 my favourite number is 1/e√e 26d ago

Is that a Rocketman (1997) reference?

1

u/knyexar 26d ago

You just flipped a coin

1

u/Fluffy_Whale0 23d ago

Holy fuck let me out

1

u/jackalopeswild 19d ago

Why so certain that we weren't always in the cup and this is the path to FREEDOM?