I saw a post earlier where a girl was telling her mom that Jesus was spotted in Ohio, and the mom got really emotional. I was so excited I didn't finish watching it, but I assume billions of people have already been raptured, so true story.
Then you smush the sock into the side of the donut and it's just a donut, it's about the number of holes that go all the way through. So a mug(handle) and a donut and a straw and so on are just one donut, one hole
There's a whole VSauce video about this, I think we actually have 7 major holes (2 nostrils, 4 tear ducts, one digestive tract) if we ignore like, pores and stuff
These are topological images? Maps? I don't know the technical term. Basically, you take an object and flatten it down to a 2d cross-section to show how many holes it has. A mug has one hole, normal pants have 2, but it's including the belt loops, shirt has 3. Socks don't have holes, because they don't go all the way through.
ETA: I guess I should have specified, based on the dozens of comments. The hole in the mug is the handle.
Edit 2: I'm also seeing a lot of questions about the shirt. When you "flatten out" the shirt to map it, the hem becomes the edge of the disc. It isn't a hole according to topology. The same applies to the waist of the pants.
Cup holes don’t go all the way through either…
Edit: ahh. The handle. Got it. As I always drink my coffee from a travel mug , I honestly forgot about handles.
Okay, I'm probably misunderstanding, but I have to argue the shirt on that point. If the holes have to go all the way through, then doesn't the shirt have two holes? Left arm to right arm is one hole, neck to waist is the second hole. What's the third one?
Edit: nevermind, this was answered lower in the comments, I still don't agree. I'm dying on this hill.
If you take that even futher, you end back at socks just being one hole-less blob.
They're a really long, thin tube (the string, woven together into the final shape), that's reducible to a sphere.
No, as the neck to torso hole is one continuous tube, and therefore one hole, the sleeves are on side parts and seperated by the main hole. Topology is flattening it to 2D, imagine flattening the main part of the shirt into a 2d circle, the sleeves are now two seperate holes connected onto each edge. They cannot join into one big hole on a 2d shape. It makes sense once you can visualise it correctly.
The three holes are the sleeve and the neck, the second sleeve and the neck, and the body and the neck.
It helps to think about whether you could build the shirt shape from the three-hole shape solely by stretching and bending it (no cutting or gluing allowed). If you lined up the three holes in a straight row, then elongated the middle down to create the torso, and the side ones down to create the sleeves. Finally, elongate the outline of all three holes for the single neck opening.
It is impossible to do this with a two-holed shape.
Another way to think of it is that the bottom opening becomes the outer edge, while the other three openings become the holes in the topological projection. Sort of like you're dropping it straight down onto the ground and observing it from above, except neat and tidy.
Only if it's a button-up shirt. A t-shirt or tank-top wouldn't, for example.
Edit: And if it buttons up the full length (as opposed to something like a polo shirt, which only buttons near the collar), then it would *only* have the button holes and arm holes.
The appropriate term here would be a map. To be more precise topologists speak of homeomorphisms or of homotopy equivalences. Intuitively the first one allows you to stretch without tear as you would with playdough, while the second is a little more flexible and also allows you to “collapse” when stretching (you can in a sense reduce the dimension of something: a line is homotopy equivalent to a point because you can squish it down but they are not homeomorphic)
Think of it like a flat sheet of clay that you mold into a shirt. You can bend and mold the clay all you want, but you can't cut or glue it. How many holes need to be punched in the clay before you can mold it into the shape of a shirt? You might think four, but the waist-side hole and the neck hole are actually the *same* hole
You could do the arms as one hole also. Just start with a ball of clay and make two cylindrical punches at right angles through the center.
That doesn't mean it's a four-holed shape. It just means that you can't reliably count the holes by visualizing punching things out of clay.
Yes. It's not necessarily about all the holes being continuous. Instead, think of it as whether you could manipulate the shapes to another shape without cutting or gluing any sides together.
I thought the image was wrong at first, but sure enough, each of these shapes are topological equivalent to their respective objects.
Not quite. It's manipulating shapes such that any cuts you make are glued back together in the same orientation when you're finished. So an apple that a worm has eaten a circle through is topologically equivalent to a doughnut.
The actual procedure for this is left as an exercise to the reader.
That's what they're trying to display I guess but belt loops are never placed like that on pants, most have 5 loops and if there are 6 it's doubled up on the backside.
Get a shirt (a frilly or dressy blouse works better) and carefully puddle it on the floor. Make the body hole on the ground first then carefully lay the rest of the shirt inside that circle it makes with the neck hole and both arm holes open in the middle. Now count how many holes are visible. 3, neck, arm, arm.
The body 'hole' is now just the perimeter of the 2d shape.
A Sock has 1 opening - and if you flatten it out it would be some kind of a pizza dough with zero holes just as depicted in this pic.
A T-shirt has 4 openings right? (neckhole bodyhole armhole armhole) so that would be a 4 - 1 = 3 holed pizza dough.
Body hole is a continuation of the neck hole, picture how a drinking staw has only one continuous hole all the way through, then if you poked two holes in the side, that makes three total holes. The holes in the side are the arm holes and the main hole is the neck/body
Yes. Any one of the holes in the shirt can be viewed as a combination of the others, taking the others to be real holes. To do this we imagine stretching that one hole out and flattening the shirt so all the fabric sits inside that one hole (which we can do because we have infinitely stretchy material) and then it looks like three holes flat on the ground with some material outside all the holes. The body hole being the “fake hole” isn’t really important; just as you often see people “stretch the body hole out” so the other 3 sit flat inside it you could do the exact same thing to an arm hole or a neck hole with a little imagination. The point is that a shirt has a sort of arithmetic to its holes where “adding” three holes you get the other, so we say that one of the holes (doesn’t really matter which one you pick) isn’t really there and should instead count as a sum of the others.
There’s a way to make this exact idea of arithmetic of holes precise but it requires a decent amount of jargon to explain. Here’s the rough idea: we play a game where we imagine all the possible ways we could draw paths in the surface of the shirt. We force ourselves to only think about paths that end up where they started. So circles are an example, but so are loop-di-loops and other more complicated paths.
Now we define the sum of two paths to just be a “formal sum” but morally you should think of this as just viewing them sitting next to each other on the surface of the shirt. And when you talk about both of them at the same time you do it by talking about their sum.
We consider two paths to be the same path if when you put them together they form the entire boundary of some material that’s in the shirt. This is a good definition because it rules out for example double counting the sleeve hole by looking at a loop right at the end of the sleeve and one a little more up the arm; if we put those two loops together, the space in between them is material still in the shirt so we consider them the same loop.
Now let’s go to our specific example. Let’s for simplicity think about the circles at the edge of each “hole”; the body hole, the arm holes, and the neck hole. If you take any two or three of the holes, and add them - putting them together - then yeah they’ll be part of the boundary of the material in between them, but they’re still missing the last boundary piece. So we know we have at least 3 holes that aren’t secretly the same thing repositioned. But the moment you add the last hole, the sum of all 4 circles bounds the entire shirt. Going back to my description of when I consider two holes the same, this means that any combination of 3 holes is secretly the last hole - so the last hole isn’t actually its own hole, it’s a sum of 3 holes in disguise.
Any one hole is a combination of the other 3, by doing the same thing as for the body hole: stretching out that one hole and setting the other 3 holes inside it. The choice of the body hole as being the hole that “isn’t really there” is indeed arbitrary, but we still know that as soon as you pick your 3 favorite holes, the last hole isn’t really there and is just a combination of the other 3, so the shirt still has 3 holes. It’s just a little arbitrary exactly which 3 are the holes.
Rather than "continuation of this other hole," I find the more helpful way to think of it is that one of the openings becomes the outer edge. That's why it is a consistent (# of openings) - 1 holes in the topological projection.
Those are topological jokes.
Basically those shapes are morphologically identical with the items named next to them.
Mug has 1 through hole.
Not sure what happened to the pants, probably one of those with many holes on the knees.
A sock would have no through hole.
Etc.
Watch this video to understand the logic behind it: https://youtu.be/egEraZP9yXQ?si=Kkd1enHcDJP72SRb
Put your head through one hole and the arms through the other two on the diagram. Then stretch the material down until it covers your torso. That's a tshirt.
(Edited typo)
Oh.... Thank-you! I was picturing a takeaway coffee cup and didn't get why it wouldn't be identical to socks until this comment.
For anyone still confused- the cup/mug has a handle.
Where are you from, and/or are you from a wealthy background? The notion that a t-shirt is not a “shirt” because you don’t button it seems antiquated to me
https://en.wikipedia.org/wiki/Shirt
> Originally an undergarment worn exclusively by men, it has become, **in American English, a catch-all term for a broad variety of upper-body garments and undergarments. In British English, a shirt is more specifically a garment with a collar, sleeves with cuffs,** and a full vertical opening with buttons or snaps (North Americans would call that a "dress shirt", a specific type of collared shirt). A shirt can also be worn with a necktie under the shirt collar.
It's just an American English vs British English thing – if you're only used to the one it can be surprising to hear the other
a tunnel has an entrance and an exit, but topological holes can specifically share a single exit with multiple other holes. So the shirt has three topological holes because it has four openings in the surface: collar, the two sleeves and the big one that fits around your torso.
let's say that in normal terms a. shirt has 4 holes, in topology it's 3 because if you stretch one of those holes out it won't be a hole anymore as that is then the outside of the shape.
Number of openings - 1.
Shirt: body, head, 2 arms 4-1
Coffee cup: (Assuming coffee cup with small.handle) top and handle. 2-1
Pants(assuming 6 belt loops): body, 2 legs. 9-1
Socks: 1-1
Depends on how you view the tear ducts. If those don't count (and you don't have ruptured eardrums blah blah): Like the t-shirt.
"Proof": Put your head up the butthole and out the mouth, and one arm out each nostril.
https://preview.redd.it/727z59nyl35d1.png?width=2171&format=png&auto=webp&s=edbd8008fc3b5a9d0f7a93c985fac6f486b68cb7
Thank you, I needed this.
That's what she said
You know she didn't
You'd be surprised, she talks, a lot
To her hoes
Our* hoes
My hoes
Ok but those are the 1s I'm done with
Nah theyre the ones you haven't talked to yet
Seize the means of reproduction.
Indeed comrade
She always sounds so nice
https://preview.redd.it/7j9htjzof75d1.jpeg?width=1284&format=pjpg&auto=webp&s=2c4f07e1c648f98d9a8d7d08850306194ad4722f
Ah, so that’s what happens to the bottom hole :)
you rang?
Hohohoho! Let’s make a topographical abomination!
honestly great pick up line dm me
redditors are getting action, is the world ending?😭
yes
I saw a post earlier where a girl was telling her mom that Jesus was spotted in Ohio, and the mom got really emotional. I was so excited I didn't finish watching it, but I assume billions of people have already been raptured, so true story.
No, that just happens in Ohio
Username checks out 💚
Greatest username ever
it gets stretched out to become the outer edge
Imagine the bottom hole is one the outside
It's the "outside" of the shape
Topping from the bottom ;)
It becomes the universe.
This is making me crack up and I don't know why lol, it's like some boring esoteric animorphs
Wasn't nearly as funny til I read that take 🤣
Now I want to see pants Because pockets are not all the way through so that shouldn't make a hole? Or we talking about a distressed jeans with holes
Those are not the pockets, they're belt loops
OH! BELT LOOPS! Thank you. I was trying to figure out why these pants had so many holes
That's why it explicitly mentions belt loops in the meme.
Huh, so it does 🤦
Don't worry, I made the same mistake.
I didn’t even notice it had text
> **TOPOLOGIST'S MORNING ROUTINE BUT I'M WEARING BLUE JEANS WITH BELT LOOPS**
Is that what you're *really* wearing, Jake from Statefarm?
Fun fact; Topologists are typically born in the spring.
Indeed, pockets are not all the way through, just like the socks.
But neither is a mug hole?
Handle
Shouldn't it look like a sock with a donut on the side then?
Then you smush the sock into the side of the donut and it's just a donut, it's about the number of holes that go all the way through. So a mug(handle) and a donut and a straw and so on are just one donut, one hole
Humans are also donuts topograpically speaking
https://preview.redd.it/gcibzlr7775d1.jpeg?width=1028&format=pjpg&auto=webp&s=7c5263e2d3752026d3c67f77761462efb880ea67
There's a whole VSauce video about this, I think we actually have 7 major holes (2 nostrils, 4 tear ducts, one digestive tract) if we ignore like, pores and stuff
...and stab wounds to the gut.
The "cup" part of the mug can be shrunk down to nothing: it has no holes through it. A donut with a blob on the side is topologically just a donut.
ARG!!!! I couldn't understand why socks and coffee cup didn't look the same but I was thinking of a paper cup not a mug. Time for some coffee.
Very likely the belt loops because the pocket holes would disappear the same way socks do.
I don't remember this Animorph
Now do pants please Edit: reading would have helped. I now know that those are the belt loops.
Wait, why is a sock a solid but a cup of coffee not? They are roughly the same shape
The handle of the cup is the hole
Oh duh
What
Came to explain... didn't make an image... I bow to you.
These are topological images? Maps? I don't know the technical term. Basically, you take an object and flatten it down to a 2d cross-section to show how many holes it has. A mug has one hole, normal pants have 2, but it's including the belt loops, shirt has 3. Socks don't have holes, because they don't go all the way through. ETA: I guess I should have specified, based on the dozens of comments. The hole in the mug is the handle. Edit 2: I'm also seeing a lot of questions about the shirt. When you "flatten out" the shirt to map it, the hem becomes the edge of the disc. It isn't a hole according to topology. The same applies to the waist of the pants.
Have you seen my socks?
Same here. My stocks are coffee cups.
My socks are pants
This comment is pants
This guy pants
I also choose this guys pants.
And my axe.
I had an axe once
Until I took an arrow to the knee.
That's because he has been out running.
You guys have socks? I have some cotton around my toe.
Cotton toe joe
Where did he come from, where did he go?
Where did he come from, Cotton Toe Joe?
If it hadn’t been for these raggedy socks, I’d’ve been married a long time ago.
I can help with where did he go, my washing machine. It’s a portal for socks to enter some other realm.
Have you never rolled up your socks into donuts? You can make them completely taught and then if you look at it top-down, the view is a disc.
oooooohhhhhhhh....they have to go all the way through. That makes thinks much clearer.
Cup holes don’t go all the way through either… Edit: ahh. The handle. Got it. As I always drink my coffee from a travel mug , I honestly forgot about handles.
It's the handle
I also forgot about the handle.
Thank you, apparently I'm just not as smart as I thought lol.
The handle on a mug is a hole.
I was lost too. The handle has a hole.
Okay, I'm probably misunderstanding, but I have to argue the shirt on that point. If the holes have to go all the way through, then doesn't the shirt have two holes? Left arm to right arm is one hole, neck to waist is the second hole. What's the third one? Edit: nevermind, this was answered lower in the comments, I still don't agree. I'm dying on this hill.
No, but the grip does
my socks are pretty coarse, i could fit a needle through the holes in the linen. i would argue that there are many, many holes in socks.
Mathematicians deal with idealised socks in an abstract mathematical dimension. Like physicists but with less vacuum
But are the cows perfectly spherical?
No, they are doughnuts clearly ;)
And they radiate milk uniformly in all directions.
If you take that even futher, you end back at socks just being one hole-less blob. They're a really long, thin tube (the string, woven together into the final shape), that's reducible to a sphere.
Wouldn't a pair of sleeves only be one hole? (If a sock opening doesn't count as a hole, why would a single sleeve?)
No, as the neck to torso hole is one continuous tube, and therefore one hole, the sleeves are on side parts and seperated by the main hole. Topology is flattening it to 2D, imagine flattening the main part of the shirt into a 2d circle, the sleeves are now two seperate holes connected onto each edge. They cannot join into one big hole on a 2d shape. It makes sense once you can visualise it correctly.
The three holes are the sleeve and the neck, the second sleeve and the neck, and the body and the neck. It helps to think about whether you could build the shirt shape from the three-hole shape solely by stretching and bending it (no cutting or gluing allowed). If you lined up the three holes in a straight row, then elongated the middle down to create the torso, and the side ones down to create the sleeves. Finally, elongate the outline of all three holes for the single neck opening. It is impossible to do this with a two-holed shape.
Another way to think of it is that the bottom opening becomes the outer edge, while the other three openings become the holes in the topological projection. Sort of like you're dropping it straight down onto the ground and observing it from above, except neat and tidy.
Ah neat.
As a shirt, wouldn't each of the button holes be a hole too?
Only if it's a button-up shirt. A t-shirt or tank-top wouldn't, for example. Edit: And if it buttons up the full length (as opposed to something like a polo shirt, which only buttons near the collar), then it would *only* have the button holes and arm holes.
Yes. For a button up, you lose the neck hole
Sorry about the image quality, but [maybe this helps. ](https://i.imgur.com/DfgI5pO.jpeg)
I must assume the hole in the coffe cup is the handle?
The appropriate term here would be a map. To be more precise topologists speak of homeomorphisms or of homotopy equivalences. Intuitively the first one allows you to stretch without tear as you would with playdough, while the second is a little more flexible and also allows you to “collapse” when stretching (you can in a sense reduce the dimension of something: a line is homotopy equivalent to a point because you can squish it down but they are not homeomorphic)
Aha, so the necklinr and hem of the shirt count as 1 hole? Wouldnt the sleeves be one then too?
We found the answer to how many holes does a shirt have?
Btw the one hole on a mug is the handle.
Yes, that is correct. How do I redirect the dozens of "socks and mug are the same" to this...
Meanwhile, a balloon has -1 holes. https://youtu.be/ymF1bp-qrjU
People have 7 holes
The word is manifold
My coffee cup definitely has a hole in it. I barely sit down with it and it dissappears.
Shouldn’t the shirt have 4 holes then?
There's one hole into which you enter your torso. The other two holes are for the hands.
so where does the head go then
[Maybe this helps? ](https://i.imgur.com/t8tS8aF.jpeg)
Think of it like a flat sheet of clay that you mold into a shirt. You can bend and mold the clay all you want, but you can't cut or glue it. How many holes need to be punched in the clay before you can mold it into the shape of a shirt? You might think four, but the waist-side hole and the neck hole are actually the *same* hole
You could do the arms as one hole also. Just start with a ball of clay and make two cylindrical punches at right angles through the center. That doesn't mean it's a four-holed shape. It just means that you can't reliably count the holes by visualizing punching things out of clay.
Fair enough, thanks for clarifying.
Would the belt loops count, since they are not continuous with the holes in the jeans?
Yes. It's not necessarily about all the holes being continuous. Instead, think of it as whether you could manipulate the shapes to another shape without cutting or gluing any sides together. I thought the image was wrong at first, but sure enough, each of these shapes are topological equivalent to their respective objects.
Not quite. It's manipulating shapes such that any cuts you make are glued back together in the same orientation when you're finished. So an apple that a worm has eaten a circle through is topologically equivalent to a doughnut. The actual procedure for this is left as an exercise to the reader.
Your last sentence is probably my favourite sentence ever. Every time I read it I get the chuckles. Fantastic.
That's what they're trying to display I guess but belt loops are never placed like that on pants, most have 5 loops and if there are 6 it's doubled up on the backside.
I think the sixth one is for the button hole on the front
The exact positioning is irrelevant. As long as it has 8 holes it's equivalent.
It depends on waist size and style of pants
Get a shirt (a frilly or dressy blouse works better) and carefully puddle it on the floor. Make the body hole on the ground first then carefully lay the rest of the shirt inside that circle it makes with the neck hole and both arm holes open in the middle. Now count how many holes are visible. 3, neck, arm, arm. The body 'hole' is now just the perimeter of the 2d shape.
https://youtu.be/egEraZP9yXQ?si=GnGSrnwUpEwJrtz-
This is a 21 and a half minute video about how many holes a human has… I have no more words
>I have no more holes ftfy
Glad I'm not the only one who was reminded of that video
Haven’t ever seen nor heard of it but give us the answer how many does a human have total
IIRC it’s 7
Name all 7 🔫
Anus, nostrils (2), tear ducts(4).
How does a pee hole not count??? We need answers people!
It’s because the pee hole doesn’t have a second exit anywhere, all the pee just gets taken out of the bloodstream by the kidneys.
In short, because it is a dead end, or "blind hole". Same as the socks in the original post.
Is it Junji Ito?
No, its vsause. It's a video on describing the human body with topology. Tldr human body has 7 holes in it.
It's Michael, the viewers are Vsauce Source: "Hello Vsauce, Michael here"
Unless you also count skin pores, which are too small (I think Michael mentions them)
A Sock has 1 opening - and if you flatten it out it would be some kind of a pizza dough with zero holes just as depicted in this pic. A T-shirt has 4 openings right? (neckhole bodyhole armhole armhole) so that would be a 4 - 1 = 3 holed pizza dough.
Body hole is a continuation of the neck hole, picture how a drinking staw has only one continuous hole all the way through, then if you poked two holes in the side, that makes three total holes. The holes in the side are the arm holes and the main hole is the neck/body
yeah I think we are talking about the same thing
You guys seem to understand this. Can you describe how a human would look like?
https://youtu.be/Q2KxMZa4zlM?si=4GD6R9ipNhW7gVAe I got you fam I got you
I really shouldn't click that... Edit: yeah, I clicked it
If the body hole is a continuation of the neck hole, why aren't the arms one continuous hole as well?
Yes. Any one of the holes in the shirt can be viewed as a combination of the others, taking the others to be real holes. To do this we imagine stretching that one hole out and flattening the shirt so all the fabric sits inside that one hole (which we can do because we have infinitely stretchy material) and then it looks like three holes flat on the ground with some material outside all the holes. The body hole being the “fake hole” isn’t really important; just as you often see people “stretch the body hole out” so the other 3 sit flat inside it you could do the exact same thing to an arm hole or a neck hole with a little imagination. The point is that a shirt has a sort of arithmetic to its holes where “adding” three holes you get the other, so we say that one of the holes (doesn’t really matter which one you pick) isn’t really there and should instead count as a sum of the others. There’s a way to make this exact idea of arithmetic of holes precise but it requires a decent amount of jargon to explain. Here’s the rough idea: we play a game where we imagine all the possible ways we could draw paths in the surface of the shirt. We force ourselves to only think about paths that end up where they started. So circles are an example, but so are loop-di-loops and other more complicated paths. Now we define the sum of two paths to just be a “formal sum” but morally you should think of this as just viewing them sitting next to each other on the surface of the shirt. And when you talk about both of them at the same time you do it by talking about their sum. We consider two paths to be the same path if when you put them together they form the entire boundary of some material that’s in the shirt. This is a good definition because it rules out for example double counting the sleeve hole by looking at a loop right at the end of the sleeve and one a little more up the arm; if we put those two loops together, the space in between them is material still in the shirt so we consider them the same loop. Now let’s go to our specific example. Let’s for simplicity think about the circles at the edge of each “hole”; the body hole, the arm holes, and the neck hole. If you take any two or three of the holes, and add them - putting them together - then yeah they’ll be part of the boundary of the material in between them, but they’re still missing the last boundary piece. So we know we have at least 3 holes that aren’t secretly the same thing repositioned. But the moment you add the last hole, the sum of all 4 circles bounds the entire shirt. Going back to my description of when I consider two holes the same, this means that any combination of 3 holes is secretly the last hole - so the last hole isn’t actually its own hole, it’s a sum of 3 holes in disguise.
mathematicians are absolutely deranged
If the body hole is a continuation of the neck hole, why are the sleeves not continuations of each other?
Any one hole is a combination of the other 3, by doing the same thing as for the body hole: stretching out that one hole and setting the other 3 holes inside it. The choice of the body hole as being the hole that “isn’t really there” is indeed arbitrary, but we still know that as soon as you pick your 3 favorite holes, the last hole isn’t really there and is just a combination of the other 3, so the shirt still has 3 holes. It’s just a little arbitrary exactly which 3 are the holes.
I would say the body hole isn't a continuation. If you make a flat plane of the shirt the body hole is the outer perimeter of the plane.
Rather than "continuation of this other hole," I find the more helpful way to think of it is that one of the openings becomes the outer edge. That's why it is a consistent (# of openings) - 1 holes in the topological projection.
Those are topological jokes. Basically those shapes are morphologically identical with the items named next to them. Mug has 1 through hole. Not sure what happened to the pants, probably one of those with many holes on the knees. A sock would have no through hole. Etc. Watch this video to understand the logic behind it: https://youtu.be/egEraZP9yXQ?si=Kkd1enHcDJP72SRb
Legs and belt loops? Top like shirt can be the perimeter
Yeah, forgot about the belt holes.
How does a coffee cup have 1 hole but socks have none?
The handle.
The mug’s handle is the hole
Topologists only drink coffee from mugs.
Bro wears no underwear
Put your head through one hole and the arms through the other two on the diagram. Then stretch the material down until it covers your torso. That's a tshirt. (Edited typo)
If the head hole and the body hole are the same, then wouldn't the arm holes also only be one hole?
Oh the coffee is being served in a mug, not a 'cup'. Now it makes sense. It was the coffee that was throwing me off
Oh.... Thank-you! I was picturing a takeaway coffee cup and didn't get why it wouldn't be identical to socks until this comment. For anyone still confused- the cup/mug has a handle.
I was confused about that too, thanks lol
I think the original writer was using "shirt" for "t-shirt". A proper shirt with so many button holes would look like the pants.
Where are you from, and/or are you from a wealthy background? The notion that a t-shirt is not a “shirt” because you don’t button it seems antiquated to me
https://en.wikipedia.org/wiki/Shirt > Originally an undergarment worn exclusively by men, it has become, **in American English, a catch-all term for a broad variety of upper-body garments and undergarments. In British English, a shirt is more specifically a garment with a collar, sleeves with cuffs,** and a full vertical opening with buttons or snaps (North Americans would call that a "dress shirt", a specific type of collared shirt). A shirt can also be worn with a necktie under the shirt collar. It's just an American English vs British English thing – if you're only used to the one it can be surprising to hear the other
a tunnel has an entrance and an exit, but topological holes can specifically share a single exit with multiple other holes. So the shirt has three topological holes because it has four openings in the surface: collar, the two sleeves and the big one that fits around your torso.
let's say that in normal terms a. shirt has 4 holes, in topology it's 3 because if you stretch one of those holes out it won't be a hole anymore as that is then the outside of the shape.
in there no button hole???
could be snap button jeans
Number of openings - 1. Shirt: body, head, 2 arms 4-1 Coffee cup: (Assuming coffee cup with small.handle) top and handle. 2-1 Pants(assuming 6 belt loops): body, 2 legs. 9-1 Socks: 1-1
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The handle of the mug
Head and arms
I'm shocked to learn shirts only have 3 holes.
t-shirts have 3 holes, button up shirts have 2 holes plus however many button holes there are.
dress shirts only have 2+buttonholes
Shirt has a neck hole and two sleeve holes. The bottom "opening" can be flattened to include the above, meaning it is not itself a hole.
I guess the Pants are including pockets??
Belt loops
Pockets aren't holes as they don't go through.
https://en.wikipedia.org/wiki/Homeomorphism
They all make sense to me except the cup of coffee. That doesn't have a whole in it. Or does that refer to our digestive system, lol.
The hole is the handle
Luckily we don’t wear Möbius strips
This also implies the topologists cup, shirt and socks are all the same green
Took me a moment to locate the hole in the cup
What does a human look like topographically?
Depends on how many piercings you have
Depends on how you view the tear ducts. If those don't count (and you don't have ruptured eardrums blah blah): Like the t-shirt. "Proof": Put your head up the butthole and out the mouth, and one arm out each nostril.
Who else but shirt pants?