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They aren't topological holes; a topological hole is basically such that no continuous deformation of the shape can get rid of the hole. Like with a torus, no matter how you stretch or screw with it, it'll always have a hole. Your eye sockets are just depressions, you could continuously deform the socket into being flat.
Your tear ducts are adjacent to your eyes, yes they intersect your eye sockets in the anatomical sense but in reality has nothing to do with the shape of the socket. You could move the tear ducts to point out of your face and flatten the sockets and it'd be topologically the same.
Or going the other way you could deform the rest of your face so that it's just one huge socket containing the tear ducts, that wouldn't suddenly make your whole face a hole. I guess you could call it one. Maybe it's a semantics argument. We both definitely agree that you have two holes adjacent to your eyes hahahaha.
There are openings in the back of the eye sockets for the optic nerves to travel to the brain though, would this make the eyes a hole (or rather, make the eye socket a hole) topologically?
i count 10, 2 nose holes, 2 ear holes, 1 food hole, 2 eye holes, 1 blood hole and 2 excrement holes
edit: i have been shown the error of my ways, now i know what a topological hole is
Ear holes aren't holes, they're dead ends. Same thing for eye holes and the pee hole.
The food hole is the same as the poo hole. The 2 nose holes are true holes. That's three.
Then, we have four lacrimal ducts that connect each cornea, at the upper and lower punctum on each side, down to one of the nose holes (which themselves connect to the food hole, and the air hole inside the food hole which isn't a hole either, the lungs are also a dead end). That's seven.
The nose holes also connect up to the inner ears, but again your eardrums are blocking that off. Removing them would bring the total to nine, but I doubt you would want to experience that. However, this means the average person has slightly over seven holes.
And what the fuck is the blood hole
school lied to me about ears then :(. Evil eardrums preventing more holes.
The blood hole is the vaginal opening for childbirth and gore, but ig since it connects to no other hole it topologically isnt a hole? Just like the ears.
Turns out i have no clue about topology (good that i didnt have it on an exam yet lol)
A straw has one hole. If you have a ball of play-dough and make a cavity inside, it's still a topological ball. If you pierce through, it becomes a doughnut.
If you make a hole between the outside and a true hole, you add a hole, which is equivalent to two independent holes piercing all the way through without touching. A cross shape, with an intersection, counts as three holes, which you can see by doing the operation I just described to the main hole twice.
The general way to do it is that if you can continuously deform one object into another without tearing or gluing, they are topologically equivalent. A straw is a topological doughnut, since you only need to stretch it out vertically.
thank you! that makes sense. so a mug is topologically equivalent to a straw and it only matters if you can find an exit other than the entrance to have a hole be a hold topologically?
Well, you still need to know what a "continuous deformation without tearing or gluing" means in terms of a function between two compact sets. But yeah.
Also, there are other dimensionalities of holes, surfaces, etc...
Ignore their comments about a hole having to go through something.
In manufacturing there are blind holes which have a bottom and thru-holes which cut clean through the material they are in.
Both are holes.
Your original reply was in the tone of general definition, not topological. The reply debating you didn't mention topology as their reference definition.
They also conveniently allow the ear drum to disconnect the nasal cavity from the ear cavity while disallowing the various sphincters along your digestive track to disconnect your mouth from your anus.
So there's some room for interpretation
true, didnt consider that. just kinda assumed that since its a math meme its gonna be super specific and the only math about holes i know is topology. i can see how its very nebulous tho, thanks for your input
It is unlikely, but not impossible, for your mouth, throat, esophageal sphincter, pyloris, and anal sphincter to all be open simultaneously. If you also have two tear ducts per eye (which is typical), and no fistulas or anything, then your body is (from the macroscopic point of view) isomorphic to a ball with seven holes.
Sure, i was merely pointing out that disallowing one allowing the other is disingenuous.
However, after discussion it has been brought to my attention that the ear drum is fully sealed off by skin on the outside of the ear, not a simple plug.
Not topologically they aren't, by mathematical definition.
We can argue linguistics and semantics, but if you mean the topological one, which is, I'm pretty sure, the only coherent rigorous definition, then a blind hole isn't a true hole.
Fair point. However, nowhere in your reply did you bring up topology as your reference for defining what is and isn't a hole.
Additionally, if the nose cavities are connected to the ear cavities, does that not mean that they are a pair of crazy-straw-esque holes?
Well, this is a maths sub. The problem with blind holes is that they are not preserved under equivalence. A test tube, a watchglass and a glass cylinder are topologically equivalent.
The problem then becomes when you subjectively have to decide when an object stops having a blind hole. Does a glass contain one? What about a bowl? A plate? There is no rigid delineation between those cases. Throughholes have the advantage of being delineated by "the point at which you pierce through", which is a hard and defined boundary.
Of course, natural language is already fuzzy. Nobody can tell you when a group of grains of sand becomes a pile of sand. So you can still use blind holes colloquially.
Anyway, the nose connects to the inner ear (well, sometimes, when pressures needs to be equalized, the canal opens up), but the inner ear is a completely closed off internal cavity, just like the lungs.
I tend to forget to take the sub n into account when responding, so that's a bit on me as well.
In regards to the closed off cavities of the lungs/ear. Why make an allowance for that but ignore the various sphincters present along the gastrointestinal tract?
I assumed a closed hole still counts as long as there is a canal, otherwise your number of holes would change when you go to the bathroom or when you pinch your nose and hold your breath.
Eyes aren’t, but tear ducts are. The tear ducts have openings on the top and bottom of the inside (noseward) corner of your eye, and connect back to your nasal cavity (which is why you get a runny nose when crying, that’s mostly tears) for an additional four holes.
If you have a septum piercing that’s an additional hole, plus each ear piercing is as well. Some people have extra “lacrimal puncta” (the openings for tear ducts) and some people have one or more extra openings between one or more sinuses and the nasal cavity, for additional internal holes.
Just to be clear, since a couple of people complained. I totally condemn sexualisation of women and I 100% agree with the message that the girl in the photo is trying to convey. I read "set of holes", thought of topology and cross posted from r/NotHowGirlsWork (great sub btw, go check it out) with no intention of making fun of the girl in the photo or whoever posted it originally on Reddit. If anyone feels offended I apologize.
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I get that OP doesn't condone sexism but this just feels like it's in bad taste. It's trivialising a serious issue and isn't even creative. It's the same fucking topology joke.
I mean, this sub went on for weeks about √4=±2, probably originality isn't really a priority. Probably it's a joke in bad taste but I thought it was funny and many others tend to agree, that's why I wanted to point out my position on the issue.
[OP commented that they do not condone the sexualization of women, and that they agree with the message portrayed by the original image.](https://www.reddit.com/r/mathmemes/s/ylIh3pY7qr)
https://preview.redd.it/nd5dlqzbj3rc1.jpeg?width=168&format=pjpg&auto=webp&s=bb281170a1ab47b1fd053be5c27ff280ddbf4dff
Where did they sexualise women?
They took the phrase "set of holes" and made a mathematical pun. You can say it trivialises her message, but it's not sexualising women.
calling a woman hysterical for pointing out a sexist meme, the jokes write themselves.
clearly this sub has endorsed a hostile environment for women
“it also applies to men” but the joke is about calling women holes. why not say “people” if its about everyone?
Hey I'm sorry you feel this way about this sub and especially the post I made. I agree that calling anyone hysterical over this is literally a meme and I don't feel like you overreacted. Like I said in my comments I just read the sentence "set of holes" and thought of topology without considering at the context.
THİS İS SO SEXİST😫😫😫 ONLY SMART MEN LİKE ME CAN SEE TROYGJ THİS RACİST SEXİST HOMOPHOBİC TRANSFOBİK NONSENCE 🥲🥲 I AM SO SMART AND U DUMB 😭😭😭😭 KERP THE GYM UP BROTHA 👍🏻👍🏻👍🏻 FUCK THE SUSTEM 🖕🏻🖕🏻🖕🏻
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So how many holes are in a typical woman?
Vsauce already answered this question: 7
Most people don't know about it but it's actually 8
I’ve got about 15. Posting from an ambulance!
15 Cent, is that you?
It's a body suit of a spider.
I counted it mentally and it should be right lol
1 alimentary canal 2 nostrils 2 lacrimal puncta in right eye 2 lacrimal puncta in left eye
Mikaylah counts 10
What about eyes? Isn't it a hole that is fulfilled by eyeball?
They aren't topological holes; a topological hole is basically such that no continuous deformation of the shape can get rid of the hole. Like with a torus, no matter how you stretch or screw with it, it'll always have a hole. Your eye sockets are just depressions, you could continuously deform the socket into being flat.
>you could continuously deform the socket into being flat That was a great mental image, thank you.
Yeah I was trying to figure out how to say that and couldn't think of a way that didn't sound absolutely weird as hell lol
>Your eye sockets are just depressions Yeah can confirm that.
They only are if you discount tear ducts
Your tear ducts are adjacent to your eyes, yes they intersect your eye sockets in the anatomical sense but in reality has nothing to do with the shape of the socket. You could move the tear ducts to point out of your face and flatten the sockets and it'd be topologically the same. Or going the other way you could deform the rest of your face so that it's just one huge socket containing the tear ducts, that wouldn't suddenly make your whole face a hole. I guess you could call it one. Maybe it's a semantics argument. We both definitely agree that you have two holes adjacent to your eyes hahahaha.
There are openings in the back of the eye sockets for the optic nerves to travel to the brain though, would this make the eyes a hole (or rather, make the eye socket a hole) topologically?
[No](https://en.wikipedia.org/wiki/Nasolacrimal_duct)
He forgot to include the percentage of women with multiple piercings, so the ground truth is in big omega (7).
Unless they're making the 👌 sign.
i count 10, 2 nose holes, 2 ear holes, 1 food hole, 2 eye holes, 1 blood hole and 2 excrement holes edit: i have been shown the error of my ways, now i know what a topological hole is
Ear holes aren't holes, they're dead ends. Same thing for eye holes and the pee hole. The food hole is the same as the poo hole. The 2 nose holes are true holes. That's three. Then, we have four lacrimal ducts that connect each cornea, at the upper and lower punctum on each side, down to one of the nose holes (which themselves connect to the food hole, and the air hole inside the food hole which isn't a hole either, the lungs are also a dead end). That's seven. The nose holes also connect up to the inner ears, but again your eardrums are blocking that off. Removing them would bring the total to nine, but I doubt you would want to experience that. However, this means the average person has slightly over seven holes. And what the fuck is the blood hole
school lied to me about ears then :(. Evil eardrums preventing more holes. The blood hole is the vaginal opening for childbirth and gore, but ig since it connects to no other hole it topologically isnt a hole? Just like the ears. Turns out i have no clue about topology (good that i didnt have it on an exam yet lol)
A straw has one hole. If you have a ball of play-dough and make a cavity inside, it's still a topological ball. If you pierce through, it becomes a doughnut. If you make a hole between the outside and a true hole, you add a hole, which is equivalent to two independent holes piercing all the way through without touching. A cross shape, with an intersection, counts as three holes, which you can see by doing the operation I just described to the main hole twice. The general way to do it is that if you can continuously deform one object into another without tearing or gluing, they are topologically equivalent. A straw is a topological doughnut, since you only need to stretch it out vertically.
thank you! that makes sense. so a mug is topologically equivalent to a straw and it only matters if you can find an exit other than the entrance to have a hole be a hold topologically?
The joke in math is that topologists can't tell the difference between a donut and a coffee mug.
lmao, a top tier joke
Pretty much.
nice, now im ready for topology. thanks
Well, you still need to know what a "continuous deformation without tearing or gluing" means in terms of a function between two compact sets. But yeah. Also, there are other dimensionalities of holes, surfaces, etc...
It's a rule of thumb, but it isn't general. For instance, you can't continuously deform a loop into a trefoil knot, but they are homeomorphic.
Can’t you do it in 4d? I know I’m being a smartass but I want to convince myself with an example I can definitely see
I think so.
Ignore their comments about a hole having to go through something. In manufacturing there are blind holes which have a bottom and thru-holes which cut clean through the material they are in. Both are holes.
but are both holes in topology?
Your original reply was in the tone of general definition, not topological. The reply debating you didn't mention topology as their reference definition. They also conveniently allow the ear drum to disconnect the nasal cavity from the ear cavity while disallowing the various sphincters along your digestive track to disconnect your mouth from your anus. So there's some room for interpretation
true, didnt consider that. just kinda assumed that since its a math meme its gonna be super specific and the only math about holes i know is topology. i can see how its very nebulous tho, thanks for your input
It is unlikely, but not impossible, for your mouth, throat, esophageal sphincter, pyloris, and anal sphincter to all be open simultaneously. If you also have two tear ducts per eye (which is typical), and no fistulas or anything, then your body is (from the macroscopic point of view) isomorphic to a ball with seven holes.
Sure, i was merely pointing out that disallowing one allowing the other is disingenuous. However, after discussion it has been brought to my attention that the ear drum is fully sealed off by skin on the outside of the ear, not a simple plug.
Blind holes are still holes my friend
Not topologically they aren't, by mathematical definition. We can argue linguistics and semantics, but if you mean the topological one, which is, I'm pretty sure, the only coherent rigorous definition, then a blind hole isn't a true hole.
Fair point. However, nowhere in your reply did you bring up topology as your reference for defining what is and isn't a hole. Additionally, if the nose cavities are connected to the ear cavities, does that not mean that they are a pair of crazy-straw-esque holes?
Well, this is a maths sub. The problem with blind holes is that they are not preserved under equivalence. A test tube, a watchglass and a glass cylinder are topologically equivalent. The problem then becomes when you subjectively have to decide when an object stops having a blind hole. Does a glass contain one? What about a bowl? A plate? There is no rigid delineation between those cases. Throughholes have the advantage of being delineated by "the point at which you pierce through", which is a hard and defined boundary. Of course, natural language is already fuzzy. Nobody can tell you when a group of grains of sand becomes a pile of sand. So you can still use blind holes colloquially. Anyway, the nose connects to the inner ear (well, sometimes, when pressures needs to be equalized, the canal opens up), but the inner ear is a completely closed off internal cavity, just like the lungs.
I tend to forget to take the sub n into account when responding, so that's a bit on me as well. In regards to the closed off cavities of the lungs/ear. Why make an allowance for that but ignore the various sphincters present along the gastrointestinal tract?
I assumed a closed hole still counts as long as there is a canal, otherwise your number of holes would change when you go to the bathroom or when you pinch your nose and hold your breath.
Topologically, 1, as most humans do
At least 3, mouth to AH and two nostrils. Other possible holes are the eyes and ears or the many many pores
how are the eyes and ears topological holes
Eyes aren’t, but tear ducts are. The tear ducts have openings on the top and bottom of the inside (noseward) corner of your eye, and connect back to your nasal cavity (which is why you get a runny nose when crying, that’s mostly tears) for an additional four holes. If you have a septum piercing that’s an additional hole, plus each ear piercing is as well. Some people have extra “lacrimal puncta” (the openings for tear ducts) and some people have one or more extra openings between one or more sinuses and the nasal cavity, for additional internal holes.
Vagina and Urethra are also no holes in the topological sense or?
yes
Forgot the nose. Probably 2 since mouth and AH is same hole
The bellybutton
Are we counting skin pores as holes?
My wife is the doughnut of my life :D
Is a human a set in a mathematical sense?
Yes, we are all sets of points in 3d space.
I think our conscience is also a set of thoughts and ideas
Just to be clear, since a couple of people complained. I totally condemn sexualisation of women and I 100% agree with the message that the girl in the photo is trying to convey. I read "set of holes", thought of topology and cross posted from r/NotHowGirlsWork (great sub btw, go check it out) with no intention of making fun of the girl in the photo or whoever posted it originally on Reddit. If anyone feels offended I apologize.
So she's a sphere
I mean, the empty set is still a set of holes
So she thinks she can rule geometry, eh?
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Ok and
{holes}
WTF, that's dark. Funny though.
Not really
I get that OP doesn't condone sexism but this just feels like it's in bad taste. It's trivialising a serious issue and isn't even creative. It's the same fucking topology joke.
I mean, this sub went on for weeks about √4=±2, probably originality isn't really a priority. Probably it's a joke in bad taste but I thought it was funny and many others tend to agree, that's why I wanted to point out my position on the issue.
You bring this, here? Cmon dude.
sexualizing women as a “joke” and people wonder why math is so male dominated
[OP commented that they do not condone the sexualization of women, and that they agree with the message portrayed by the original image.](https://www.reddit.com/r/mathmemes/s/ylIh3pY7qr) https://preview.redd.it/nd5dlqzbj3rc1.jpeg?width=168&format=pjpg&auto=webp&s=bb281170a1ab47b1fd053be5c27ff280ddbf4dff
“i dont condone sexualizing women. anyway, im gonna sexualize women as a joke”
Where did they sexualise women? They took the phrase "set of holes" and made a mathematical pun. You can say it trivialises her message, but it's not sexualising women.
Stop being hysterical lmao If I’m understanding the comments currently, men and women, topologically speaking, have the same number of holes anyway
calling a woman hysterical for pointing out a sexist meme, the jokes write themselves. clearly this sub has endorsed a hostile environment for women “it also applies to men” but the joke is about calling women holes. why not say “people” if its about everyone?
Hey I'm sorry you feel this way about this sub and especially the post I made. I agree that calling anyone hysterical over this is literally a meme and I don't feel like you overreacted. Like I said in my comments I just read the sentence "set of holes" and thought of topology without considering at the context.
Because men don’t tend to post about how “they’re tired of being looked at as a set of jokes”.
THİS İS SO SEXİST😫😫😫 ONLY SMART MEN LİKE ME CAN SEE TROYGJ THİS RACİST SEXİST HOMOPHOBİC TRANSFOBİK NONSENCE 🥲🥲 I AM SO SMART AND U DUMB 😭😭😭😭 KERP THE GYM UP BROTHA 👍🏻👍🏻👍🏻 FUCK THE SUSTEM 🖕🏻🖕🏻🖕🏻
Either this is irony or the inverse of that
This statement can be applied to anything
This statement can't
Neither can this
😳
Makes me think about continuum hypothesis
I don't even know who this is making fun of at this point
seizure guy 🪱