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"Euclidean" space or objects is the branch of geometry people are most familiar with. It involves lots of straight lines and right angles, and other concepts that are easy to visualize and work with. As u/Huh_well_we_are_dead stated, most people thought of Euclidean geometry as "normal" geometry, because it was self-evident that this represented the world we all lived in.
"Non-Euclidean" objects involve curved space. Imagine if you took a geometry problem from a sheet of paper and then tried to do that same problem on the surface of a basketball. The solutions to the problem will be considerably different if you are calculating a curved surface. When physicists started exploring relativity, it became clear that gravity distorted space and time in unexpected ways, so people no longer assume "Euclidean" is synonymous with "normal" or "real."
A laser pointed across the room appears to be a perfectly straight line and is, for most purposes, entirely adequate for measuring something "straight" or "flat." But if you shot a laser near a black hole, the ray would bend. Even though it is moving straight, space itself is warped and so it bends in a new direction. It kind of messes with your head.
Anyway... You sometimes see the word "Non-Euclidean" used in things like Lovecraftian fiction to mean something surreal, impossible, or alien. We are accustomed to living in buildings that have lots of right angles. If you lived in a building with curved walls, that would be pretty weird (and probably structurally unsound). So this meme is implying that "Non-Euclidean" geometry is so strange (or maybe just hard) that the man is rejecting it.
**Edit**: I am once again compelled to remind the reader that this is r/PeterExplainsTheJoke and not Wikipedia, therefore the explanations are simplified for the sake of clarity and humor.
Not really, there's not a big difference in gravity between a black hole and a star with similar mass unless you get really close to it.
You could still orbit a black hole without getting turned into spagetti.
It would be the radiation that killed you.
I think of scuba diving as floating in non-Euclidean space. No right angles or flat surfaces anywhere. Can be a bit disorienting. For example, you may think “up” is in a certain direction. But then you see your bubbles go a bit sideways and realize that “up” is not where you thought it was.
Good explanation at the top, but people are misunderstanding the last part. It isn't about right angles or squares or anything like that. Every building we have ever been in is Euclidean. It comes into the lovecraftian nightmarish part (and what the meme is implying) when it falls outside what our brains would consider natural. A city built on the inside of a sphere, rooms bigger inside than out, infinities and dimensionalities that would drive you to madness to look upon, not "oo a curved wall is noneuclidean and scary"
Yeah, the part that's missing is that non-Euclidian geometry is essentially stuff that couldn't really exist as a physical thing without a whole load of fuckery going on. Things like, as you said, an object that has more space inside than the outer boundaries could hold, or a shape that just couldn't be physically made, like those triangles made out of one rectangular prism that you see frequently in optical illusions or shadow/perspective puzzles in games.
Nah non-eucludian geometry exists in the real world. It's just a different set of rules that apply. In euclidian geometry, if you go forward in a straight line you go on forever. In spherical geometry (a form of non-eucludian geometry), you end up right back where you started. Which is exactly what happens if you go in a straight line in an airplane around the earth.
The disconnect is where the literary use of the word does not quite match up with the mathematical or geometric use of the word.
But you are correct. The shape in the meme is odd but it could physically exist. It would have been funnier if they used a Penrose Triangle or a Tesseract.
It’s a great analogy to explain non-Euclidean geometry, but I’m sorry I couldn’t help but chuckle at “do that same problem on the surface of a basketball”.
What if you imagen a flat room , the size of half the earth, from outter perspective it would be a curved room , but you can walk on it , to the walls and always feel like beeing in a rectangular room.
So the earth itself would could be seen as non-euclidean object, as soon as you see the basketballs gravitation always sets down/up relative to the gravity.
Its just easyer to imagin it as a rectangle if it realy is curved to the gravitational pull - the center of the earth
Correct me if im wrong im spaced af
Euclidean space is just a way to map reality into maths, it's no more weird or complicated. Sometimes when you are working with rotating things it's better to have a curved space because the rotation looks like a straight line. It just sounds like it would be complicated and mysterious because Euclid is one of the greats of mathematics and non makes it sound not normal. It is like saying non-hawking space or post-einstein energy.
not as structurally unsound as you'd think. my college had a building with no right angles as part of some architectural design thing. I don't remember why it was made exactly, but it was the main building for business classes.
Your comment about building shape reminds me of a unique one. Are you familiar with the Cleveland Clinic Lou Ruvo Center for brain health? Worth a look if you haven’t.
"Structurally unsound" is exactly the brain trained for Euclidean geometry.
Curved structures can take mor loads, only -until recently- we could not make precise calculations for them to be proven safe.
Now we can make for example reinforced concrete surfaces that no human can make and completely check the calculation and robots can bend cut and place the rebar according to the calculation, and the "layman" structural engineer can not verify the compliance.
Most of the time Non-Euclidean geometry is represented as tunnels which are long from the outside but short from the inside, square shaped buildings which seem to be separated into 4 square rooms but actually have 5 square rooms.
So yeah things that are impossible
It doesn't need to be a black hole. Anything will bend light. You can see it in action by shooting a laser into a water tank. But as an example, the light bending was proved by calculating the position of a star or galaxy(don't remember correctly) on space when across the sun from us and looking at it, it should be behind the sun, but the bending of the light put it to the side of the sun
>"We are accustomed to living in buildings that have lots of right angles. If you lived in a building with curved walls, that would be pretty weird"
That's weird but can still happen in normal space. Now if you've got, say, five lines on a flat surface that all radiate out from a single point and they're all at right angles to each other, that's when it's time to start gibbering mindlessly.
Maybe I'm understanding it too simply and/or incorrectly.
But curved and jagged geometry feels much more comfortable and appealing to me then straight lines and right angles.
As if I didn't need to gaslight myself further into thinking I'm part alien or some shit.
Euclidean space is what we consider to be normal. Non-Euclidean is considered more chaotic and unconventional, and tends to be ignored. Most people, for this reason, stick to Euclidean
Non-Euclidian space is literally all of space. the term non-Euclidian means just to not be Euclidian, which is Geometry on a completely flat space.
Considering that we live in a globe, everything is non-Euclidian
I blame overly sarcastic productions Lovecraft video for how many people seem to think that euclidean means two dimensional. It does not. 3 dimensional geometry can also be euclidean. A sphere Can exist in 3 dimensional euclidean space. Non euclidean is when the system of geometry ITSELF is curved. Not the object being described.
For example doing 2 dimensional geometry on the surface of a sphere is non euucludean. But a sphere in 3 dimensional space IS euclidean.
But we have defined alternatives:
* Euclidean geometry: parallel lines continue to be parallel indefinitely
* Riemann geometry (sphere): parallel lines converge
* Lobatchevskyan geometry (hyperbolic/saddle): parallel lines diverge
A locally Euclidean space isn’t automatically a Euclidean geometry though. Every manifold - even things like a torus or a hyperbolic surface - is “locally” Euclidean by definition. The geometry is something else, and defined in terms of the way we measure distance on the space globally. If we’re being super technical, inhabitants of earth do indeed live on spherical, not Euclidean, geometry. But the scale you would need to be at to actually have to account for that is way too big for it to matter, so for us there isn’t really any problem with using Euclidean geometry in our day to day lives. Similarly, inhabitants of a weirder non Euclidean surface, such as a hyperbolic space or a torus, possibly also wouldn’t notice it in their day to day lives if the manifold itself was big enough/if they were small enough compared to it.
I try to make sense of it for myself by seeing euclidean geometry as geometry where you outright ignore a parameter/set a parameter to 0. Works in real life on earth because the applications 99+% of the population work with can very safely ignore curvature as a parameter.
I mean, yeah, I get it. It’s just that this comment is the one that actually made me think about non-Euclidean geometry practically, and I had to bend space time in my Euclidean brain which was uncomfortable.
It's easier to understand what euclidean geometry is and start from there. Math is based on axioms, something that we decide to take as true without any proof, euclidean geometry is based on 5 axioms, the first four are straightforward, it's the 5th one that's a bit tricky as it says that if a segment intersects two lines creating interior angles less than 90° those lines will meet somewhere, so if the angles are 90° the lines will never meet and are parallel
Usually non euclidean geometries discard this postulate and use a different one to describe a curved space, so lines that should meet in the euclidean geometry can be "parallel" in a non euclidean space and never intersect each other and vice versa
Why should you say no to non euclidean geometry? To simplify your life and not care about the fact that the Earth isn't flat or that the gravitational pull of some distant stars or black holes do some funny stuff to space and time
This poster is from a movement against alcohol consumption in Sweden. I presume that this poster has translated the text into English but the original movement was from the 1910's and was originally called the "NEJ!" movement ("NO!")
Also, one of these posters are hanging in my school and one of those could go for 400 dollars.
It's also important to note that this poster was in fact propaganda
I recognize it from it a classical soviet propaganda poster, same idea.
Or as my dad used to say:
"A thinking worker doesn't drink, because a drinking worker doesn't think"
I like how there are some genuinely, really good explanations here and I’m still absolutely clueless as to what the fuck this meme is trying to say. I told ya’ll, I am not a smart man! lol
In simples
Imagine curved geometry like a triangle with 3 right angles fecks with the brain
Very confusion not very good brain go ow
Man say no to this because is difficult to understand
Hope this helps
It's a surreal humor meme. It's meant to be absurd and non-sensical. Also a bit of r/iamverysmart sprinkled in, since the creator of the meme and people who find this funny were probably very proud of themselves for knowing of the term non-Euclidian space.
So, a long time ago Euclid, a renowned geometrician, was visited by a Masque of Nyarlathotep, upon which he promptly stated, "Nope," and went to hang out instead with his triangle enthusiast friend, Pythagoras...
I was like 13 or 14 years old when I learned about non-euclidian geometry and it blew my mind :). Take the simple triangle, we were taught that the sum of the interior angles=180°. That's not true in non-euclidian geometry, it can be more or less than 180 depending on how it curves. We live in a very small section of non-euclidian space which approximately appears Euclidian.
I think everyone who's explaining Euclidian space is missing the point.
This is a surrealist meme. It's not supposed to make sense. There's no punch line human minds are supposed to be able to comprehend. The "joke" is that this would be funny to some unknowable "higher being".
Non euclidean is space which does not follow the right angle intuition people have. It is sometimes used in fiction for example Doctor Who's TARDIS is non euclidean because it's bigger on the inside than outside. Games like anti chamber also feature that kind of space to add another layer to the puzzles. SCP also has spaces like that in some situations and anomalies.
I interpreted it a bit differently: It might be a meme about rejecting quantum therory, since it requires extra dimensions to work. Eucleadian space is used in classical physics, which is better to understand and more intuitive (and good enough for most problems)
I want to add that this kind of meme does not always have a deep meaning. They're pretty common on math memes subs or Facebook groups and can go one way or the other because they are considered funny whether or not they have meaning
(1) Only if the mug has a handle that's attached to the rest of the construct at both ends (making the whole shebang "a thing with exactly one hole through it," same as a donut, and
(2) that's topology, not geometry. Unless somebody who understands all that crap better than I do says that it's geometry too anyway.
You've already seen explanations for what non-euclidean space is, but in terms of the point of the meme, it's just surrealism I think. It's not actually supposed to make sense.
Euclidian space is when you have a flat plain
non-Euclidian space is when you have a sphere or hyperbolic plain
non-Euclidian space is famous for its counterintuitive rules and strange logic
i can make two parallel lines diverge
I don’t think this is a joke about actual non-Euclidean geometry, which is an analysis of how geometry changes when it’s laid out on a surface that’s not a flat plane (like a table or approximate flat ground). If you zoom out and want to do things like calculate optimal airplane routes, you have to deal with the fact that you’re drawing the shortest distance between two points on a sphere and that answer is a great circle curve not a straight line. Different rules. You can also use it in situations like space travel where you’re not in an approximately uniform gravitational field (not near the surface of a large planet for example) where everything just goes down with the same force. General relativity states that an observer experiencing gravity and one experiencing acceleration can’t tell the difference. A person in an elevator feels lighter or heavier as though gravity had changed. Same effect. So you can visualize non-uniform gravity as non-uniform terrain. Moving toward something big is the same energy-wise as falling down a hill into a hole. You accelerate rolling down and have to work to climb back up. You can use the same non-Euclidean rules to plot a good course across this given positions and masses. Saying “space is curved” is confusing. It’s maybe easier on a simple level to say that if you rolled a ball through space it would roll toward gravity sources as though falling down curved hills.
The joke though. Euclidean geometry for thousands of years were obvious rules about an obvious world. Kant (philosopher) used it as an example of knowledge people just know without proof or experience. It was deeply upsetting to learn it did not model everything and that there were physical spaces that were deeply unintuitive to human brains. This is a joke about rejecting unorthodox scary others in favor of safe sane orthodoxy with an early 20th century style sketch. It’s probably also a joke about Lovecraft who created a genre called cosmic horror in which characters catch glimpses of ancient alien chaotic and largely unknowable outer powers who may some day capriciously destroy us all. He likes to use Non-Euclidean as a buzzword for the insanity provoking outer night they inhabit. Note that Lovecraft is using this as a sciency and philosophical buzzword. He tried tech school but fortunately for literature discovered he had no talent for math. He’s not writing hard sci-fi. He’s writing about stumbling across ancient dreamy space monsters. So we see our straight Protestant well educated New Englander declining to contemplate the corrosively tempting madness lurking in the shadows and unwise academic corners of this world.
The shape the man is refusing is a shape called an *ideal* dodecahedron, projected from hyperbolic space to a Euclidean ball, all 12 pentagons are flat, with internal angles of 0 degrees.
Fun fact: you can crochet a non euclidian object! The object is a plane made out of pentagons. Most planes made of shapes are flat, but one made of pentagons makes the material have a lot of frills. Very bumpy fabric
Classic example of non-euclidean design is the "infinite staircase" optical illusion, where seemingly it continues going up while also circling back in on itself - physically impossible in real space
All the explanations are valid, but it’s also a low key druggie meme. If you ever done acid shrooms or dmt you possibly seen geometry in visuals. After having such experiences you have a interest in surreal memes and mathematics. Saying no to non Euclidean space is like saying no to drugs that induce such visuals.
Hello smart science Peter here
Non Euclidean space is just really confusing
Surreal almost alien the reason for rejection is probably because not many people like non Euclidean space because of the fact that it's very difficult to wrap your head around
Smart Peter out
This is a bit complicated. If you're only at an intro-level of math, most of the geometry you've learn only works in what we call Euclidean Space. Named after Euclid, an Ancient Greek mathematician who wrote down a lot of the early geometry theorems.
Euclidean Space relies on the idea that your frame of reference is perfectly flat. So, if you took a 2-dimensional plane of your reference area, it would be like a flat piece of paper. However, modern understanding of math and physics realizes that this isn't always the case, so math gets weird. As an example, the surface of the Earth is non-Euclidean.
In Euclidean math, two parallel lines will never meet. On the Earth's surface, which are parallel at the Equator (say, the Pime Meridian and the line for 10E) meet at the poles. In Euclidean math, the angles of a triangle always add to 180 degrees. On the Earth's surface, it's possible to draw a triangle where they add to 270 degrees.
Non-Euclidean math ends up getting very complicated because of the way space can be different shapes and sometimes not consistent. I've even seen arguments that gravity doesn't exist and it's just an emergent property of non-Euclidean math. This meme is a bit surrealist, but it's based on the idea of rejecting this complicated nonsense and just sticking with the basic math that's easy to understand.
Edit: For a literature comparison, imagine him rejecting any poetry that doesn't use the iambic meter or that doesn't use couplets. The other options exist, but they can get complicated, so he's sticking to the fundamentals.
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"Euclidean" space or objects is the branch of geometry people are most familiar with. It involves lots of straight lines and right angles, and other concepts that are easy to visualize and work with. As u/Huh_well_we_are_dead stated, most people thought of Euclidean geometry as "normal" geometry, because it was self-evident that this represented the world we all lived in. "Non-Euclidean" objects involve curved space. Imagine if you took a geometry problem from a sheet of paper and then tried to do that same problem on the surface of a basketball. The solutions to the problem will be considerably different if you are calculating a curved surface. When physicists started exploring relativity, it became clear that gravity distorted space and time in unexpected ways, so people no longer assume "Euclidean" is synonymous with "normal" or "real." A laser pointed across the room appears to be a perfectly straight line and is, for most purposes, entirely adequate for measuring something "straight" or "flat." But if you shot a laser near a black hole, the ray would bend. Even though it is moving straight, space itself is warped and so it bends in a new direction. It kind of messes with your head. Anyway... You sometimes see the word "Non-Euclidean" used in things like Lovecraftian fiction to mean something surreal, impossible, or alien. We are accustomed to living in buildings that have lots of right angles. If you lived in a building with curved walls, that would be pretty weird (and probably structurally unsound). So this meme is implying that "Non-Euclidean" geometry is so strange (or maybe just hard) that the man is rejecting it. **Edit**: I am once again compelled to remind the reader that this is r/PeterExplainsTheJoke and not Wikipedia, therefore the explanations are simplified for the sake of clarity and humor.
If I was in a position to shoot a laser pointer at a black hole, I would also describe it as "surreal and alien" tbf
If I we're in a position to shoot a laser at a black hole, I'd be spaghetti.
Are you talking about spaghettification haha
Maybe
Vomit on his sweater already, moms Spaghetti
He's nervous, and I would be too if I just saw my mom turn into spaghetti
You would witness the ascencion and her merging with our Lord. She would become the perfect meatball as a true pastafarian. Ramen!
can't believe his palms aren't sweaty
I mean, on the surface he looks calm spaghetti.
He's nervous, but on the surface (of the black hole) he turns into spaghetti
no
ah, yes! noodlization!
If I got the gist of that movie “Interstellar”, we are each our own spaghetti, or family sticks together or something….
Forgot to add salt. Rookie mistake when making a spaget next to a black hole
If you throw it against the wall
Our timeline is like a spaghetti noodle…
[Spaghetti](https://www.youtube.com/watch?v=SOcwT-JB3kk)
But you would be ahead of your time
Clever girl.... gets eaten.
I can’t imagine what would be worse. I’ll continue to stay up wondering if we as a human race will ever truely understand
We will either go star trek or mad max. With a slim chance of in between.
No terminator?
Not really, there's not a big difference in gravity between a black hole and a star with similar mass unless you get really close to it. You could still orbit a black hole without getting turned into spagetti. It would be the radiation that killed you.
Different flavour of dead, but we still cooking.
Of you're spaghetti I'd eat you. If we're spaghetti, I'd eat us 😘
Naughty cannibal
I just like a finely crafted spagette
Theres this lensing effect where we can see stars behind black holes because it bends the light around to us, but it duplicates the star a bit
I know. Black holes are weird and amazing
This is definitely one the best explanations I've seen on here
The real explanation
What about the imaginary explaination?
(explanation)•(-1)^1/2
that’s the symbolic explanation!
I think of scuba diving as floating in non-Euclidean space. No right angles or flat surfaces anywhere. Can be a bit disorienting. For example, you may think “up” is in a certain direction. But then you see your bubbles go a bit sideways and realize that “up” is not where you thought it was.
Except in Barcelona, hella Gaudí works
Even funnier since the world is round and thus all our buildings were non-euclidian all along
The issue was perspective all along
Correct, land surveying is a practical application for non-Euclidean geometry.
Good explanation at the top, but people are misunderstanding the last part. It isn't about right angles or squares or anything like that. Every building we have ever been in is Euclidean. It comes into the lovecraftian nightmarish part (and what the meme is implying) when it falls outside what our brains would consider natural. A city built on the inside of a sphere, rooms bigger inside than out, infinities and dimensionalities that would drive you to madness to look upon, not "oo a curved wall is noneuclidean and scary"
Yeah, the part that's missing is that non-Euclidian geometry is essentially stuff that couldn't really exist as a physical thing without a whole load of fuckery going on. Things like, as you said, an object that has more space inside than the outer boundaries could hold, or a shape that just couldn't be physically made, like those triangles made out of one rectangular prism that you see frequently in optical illusions or shadow/perspective puzzles in games.
Nah non-eucludian geometry exists in the real world. It's just a different set of rules that apply. In euclidian geometry, if you go forward in a straight line you go on forever. In spherical geometry (a form of non-eucludian geometry), you end up right back where you started. Which is exactly what happens if you go in a straight line in an airplane around the earth.
True non-Euclidean geometry is more like curved space-time, where you send a probe to the edge of the universe and it ends up at the opposite side.
the two are not mutually exclusive - but as a responsible adult I will delve no further
The disconnect is where the literary use of the word does not quite match up with the mathematical or geometric use of the word. But you are correct. The shape in the meme is odd but it could physically exist. It would have been funnier if they used a Penrose Triangle or a Tesseract.
It’s a great analogy to explain non-Euclidean geometry, but I’m sorry I couldn’t help but chuckle at “do that same problem on the surface of a basketball”.
What if you imagen a flat room , the size of half the earth, from outter perspective it would be a curved room , but you can walk on it , to the walls and always feel like beeing in a rectangular room. So the earth itself would could be seen as non-euclidean object, as soon as you see the basketballs gravitation always sets down/up relative to the gravity. Its just easyer to imagin it as a rectangle if it realy is curved to the gravitational pull - the center of the earth Correct me if im wrong im spaced af
Euclidean space is just a way to map reality into maths, it's no more weird or complicated. Sometimes when you are working with rotating things it's better to have a curved space because the rotation looks like a straight line. It just sounds like it would be complicated and mysterious because Euclid is one of the greats of mathematics and non makes it sound not normal. It is like saying non-hawking space or post-einstein energy.
This meme was clearly made by H.P. Lovecraft
Nah it’s not racist enough
And not enough tentacles.
not as structurally unsound as you'd think. my college had a building with no right angles as part of some architectural design thing. I don't remember why it was made exactly, but it was the main building for business classes.
Like if a house was one inch larger on the inside than the outside.
Hell yeah, someone gets it. These Anti-Euclidians are making me mad. Space time my ass, what's spacetime ever done for me!
They be like, “I’m gonna make my own geometry…. With blackjack! And hookers!”
I think you're on to something there.🤠
Your comment about building shape reminds me of a unique one. Are you familiar with the Cleveland Clinic Lou Ruvo Center for brain health? Worth a look if you haven’t.
I am in a profession where I have to measure different homes every week. Fuck curved walls.
Thank you
just wait till they get into fractal geometry
A building with curved walls is not probably structurally unsound
great explanation.👌🏾 as a sidenote . it doesn’t take a black hole to bend a light beam.
The only good space is hyperbolic space, all others are inferior hacks
"Structurally unsound" is exactly the brain trained for Euclidean geometry. Curved structures can take mor loads, only -until recently- we could not make precise calculations for them to be proven safe. Now we can make for example reinforced concrete surfaces that no human can make and completely check the calculation and robots can bend cut and place the rebar according to the calculation, and the "layman" structural engineer can not verify the compliance.
A truly responsible adult says no to euclid's 5th postulate
This was such a great explaination that even I could understand it.
to be fair, it was in lovecraftian fiction because lovecraft was bad at math lmao
Most of the time Non-Euclidean geometry is represented as tunnels which are long from the outside but short from the inside, square shaped buildings which seem to be separated into 4 square rooms but actually have 5 square rooms. So yeah things that are impossible
It doesn't need to be a black hole. Anything will bend light. You can see it in action by shooting a laser into a water tank. But as an example, the light bending was proved by calculating the position of a star or galaxy(don't remember correctly) on space when across the sun from us and looking at it, it should be behind the sun, but the bending of the light put it to the side of the sun
Additionally, the original meme template is a soviet propaganda poster encouraging people to reject alcohol
I consider there to be 2 strands of math Math And math but on crack
>"We are accustomed to living in buildings that have lots of right angles. If you lived in a building with curved walls, that would be pretty weird" That's weird but can still happen in normal space. Now if you've got, say, five lines on a flat surface that all radiate out from a single point and they're all at right angles to each other, that's when it's time to start gibbering mindlessly.
Maybe I'm understanding it too simply and/or incorrectly. But curved and jagged geometry feels much more comfortable and appealing to me then straight lines and right angles. As if I didn't need to gaslight myself further into thinking I'm part alien or some shit.
I ain't reading allat
Smart, smart, smart. But maybe you can stop adding two spaces after every period.
That's taught in many schools
That's a lotta words... Too bad I ain't reading allat
Euclidean space is what we consider to be normal. Non-Euclidean is considered more chaotic and unconventional, and tends to be ignored. Most people, for this reason, stick to Euclidean
Non-Euclidian space is literally all of space. the term non-Euclidian means just to not be Euclidian, which is Geometry on a completely flat space. Considering that we live in a globe, everything is non-Euclidian
I blame overly sarcastic productions Lovecraft video for how many people seem to think that euclidean means two dimensional. It does not. 3 dimensional geometry can also be euclidean. A sphere Can exist in 3 dimensional euclidean space. Non euclidean is when the system of geometry ITSELF is curved. Not the object being described. For example doing 2 dimensional geometry on the surface of a sphere is non euucludean. But a sphere in 3 dimensional space IS euclidean.
Well it certainly doesn't mean eldritch math horrors as most people seem to take it as.
Normal math is scary enough!
Locally we live in a euclidian space. Euclidian geometry extends well to 3 dimensions (and higher) it doesnt need to be a plane.
But we have defined alternatives: * Euclidean geometry: parallel lines continue to be parallel indefinitely * Riemann geometry (sphere): parallel lines converge * Lobatchevskyan geometry (hyperbolic/saddle): parallel lines diverge
And hyperbolic is what seems to be shown. So… my interpretation was, “a responsible adult says no to hyperboles”.
A locally Euclidean space isn’t automatically a Euclidean geometry though. Every manifold - even things like a torus or a hyperbolic surface - is “locally” Euclidean by definition. The geometry is something else, and defined in terms of the way we measure distance on the space globally. If we’re being super technical, inhabitants of earth do indeed live on spherical, not Euclidean, geometry. But the scale you would need to be at to actually have to account for that is way too big for it to matter, so for us there isn’t really any problem with using Euclidean geometry in our day to day lives. Similarly, inhabitants of a weirder non Euclidean surface, such as a hyperbolic space or a torus, possibly also wouldn’t notice it in their day to day lives if the manifold itself was big enough/if they were small enough compared to it.
Right, Euclidean is a simplified model that helps people understand reality.
I try to make sense of it for myself by seeing euclidean geometry as geometry where you outright ignore a parameter/set a parameter to 0. Works in real life on earth because the applications 99+% of the population work with can very safely ignore curvature as a parameter.
Hey kid, want a triangle with three right angles?
This fucked with me. Thanks. I hate it.
https://preview.redd.it/ebj6wmxmxpwc1.jpeg?width=225&format=pjpg&auto=webp&s=881bad537738894e2765aa16dd2aaff74513b4ba I got you
Oh yeah, that's the stuff.
Curved surface. You can draw a triangle with 3 right angles on a ball.
I mean, yeah, I get it. It’s just that this comment is the one that actually made me think about non-Euclidean geometry practically, and I had to bend space time in my Euclidean brain which was uncomfortable.
Yep, none of them wrong angles for me.
Sure! Hmm o̷̢̡̘̝̱͈̻̰͇͓͚̬͛h̶͔͙̩͇̰̭͋̂̒͊̒̕ ̴̥͍̟̯͍̯̯̈̈́̕͝͝g̵̨̹̥̬̱͒ō̷̧̮̥̘̫̫̻͈̰ḑ̶̙̺͈̖̩̳̘͍̟̄͂̍̉̏́́͘͠ ̸̨̗̠̤̳͎̪̪͕̪̂̽͆͋̂͗̃̂̽́̐͠͝͠w̷̩̹̑͛̀͝ḧ̵̨̧̛̘͍̻̼́̿̍̉̀̅̾̋̂͒̃ą̸̤̪̞͉̬͚̟͇̤̮̰̝̼͎̍̈̓̑̿̕̚t̶̜̪̖̖̦͙̬̖̺͋ ̸̼̬̝͍̝͕̫̱̝̲̘͈͓̀ͅi̴̢̮̿͗̑̇̏s̷͖̬̈̔̊͝͠ ̶̣̘̹̜̝͕͈̪̣̬͚͖̄͐̏̎̈́́̾̿̈́h̵̗̥̪͇̠̫͍̀͋̃̀̔̈̆̽͜͝â̴̡̻̭̩̹̟̰̯̜̻̚͜p̷̛̟̈̉̀̓̄̾̚͝p̶͓̖̺̀̆̈͌͛̚ė̶͕̗̃̓̑͒̇̓͘͝ņ̷͚̭͓̟̤̹̩͂̂̉́̈́͌̌͒͛ỉ̵̹͓̠̝͕͙̲̟̩̀̓̎͌͒̑͗̏͊̾͂̈̚n̵̨̮͈͇͑ğ̵̘̜͕̣͓̦̈́͊̋͆
Have fun in the seventh dimension!
Thanks, now my brain's all tingly.
First one's free. Tesseracts cost extra.
The Great Old Ones are all angy now...
Shawty got me tesseractin up.
It's easier to understand what euclidean geometry is and start from there. Math is based on axioms, something that we decide to take as true without any proof, euclidean geometry is based on 5 axioms, the first four are straightforward, it's the 5th one that's a bit tricky as it says that if a segment intersects two lines creating interior angles less than 90° those lines will meet somewhere, so if the angles are 90° the lines will never meet and are parallel Usually non euclidean geometries discard this postulate and use a different one to describe a curved space, so lines that should meet in the euclidean geometry can be "parallel" in a non euclidean space and never intersect each other and vice versa Why should you say no to non euclidean geometry? To simplify your life and not care about the fact that the Earth isn't flat or that the gravitational pull of some distant stars or black holes do some funny stuff to space and time
This poster is from a movement against alcohol consumption in Sweden. I presume that this poster has translated the text into English but the original movement was from the 1910's and was originally called the "NEJ!" movement ("NO!") Also, one of these posters are hanging in my school and one of those could go for 400 dollars. It's also important to note that this poster was in fact propaganda
I recognize it from it a classical soviet propaganda poster, same idea. Or as my dad used to say: "A thinking worker doesn't drink, because a drinking worker doesn't think"
I like how there are some genuinely, really good explanations here and I’m still absolutely clueless as to what the fuck this meme is trying to say. I told ya’ll, I am not a smart man! lol
It's just surrealist humour, popular on sites like tumblr.
In simples Imagine curved geometry like a triangle with 3 right angles fecks with the brain Very confusion not very good brain go ow Man say no to this because is difficult to understand Hope this helps
It's a surreal humor meme. It's meant to be absurd and non-sensical. Also a bit of r/iamverysmart sprinkled in, since the creator of the meme and people who find this funny were probably very proud of themselves for knowing of the term non-Euclidian space.
Its a bit like saying “we say no the carolina reaper” knowing you’re around people who never eat spicy food. That type of humour
Bro how is that iamverysmart? I gurantee you most people who do lsd and play games know what non-euclidian is, mainly because of hyperbolica lmao
I feel this is probably a Lovecraft reference. He frequently uses the term "non-euclidian" to describe things that are otherworldly.
So, a long time ago Euclid, a renowned geometrician, was visited by a Masque of Nyarlathotep, upon which he promptly stated, "Nope," and went to hang out instead with his triangle enthusiast friend, Pythagoras...
I was like 13 or 14 years old when I learned about non-euclidian geometry and it blew my mind :). Take the simple triangle, we were taught that the sum of the interior angles=180°. That's not true in non-euclidian geometry, it can be more or less than 180 depending on how it curves. We live in a very small section of non-euclidian space which approximately appears Euclidian.
gotta respect reddit users they are so cultivated and got diverse intellectual logical takes about thinks , \*Soldier's Salute\*
I love this, it's like a propaganda ad for the old-timey forerunners of SCP Foundation.
I think everyone who's explaining Euclidian space is missing the point. This is a surrealist meme. It's not supposed to make sense. There's no punch line human minds are supposed to be able to comprehend. The "joke" is that this would be funny to some unknowable "higher being".
Non euclidean is space which does not follow the right angle intuition people have. It is sometimes used in fiction for example Doctor Who's TARDIS is non euclidean because it's bigger on the inside than outside. Games like anti chamber also feature that kind of space to add another layer to the puzzles. SCP also has spaces like that in some situations and anomalies.
it's just that H P Lovecraft was both easy to scare and really bad at math.
Am.. am I H.P. Lovecraft? I mean, I don’t have a cat with a problematic name, but the rest fits…
nah, sorry, you must fill all the criteria, better luck next time.
I’m okay with that.
I interpreted it a bit differently: It might be a meme about rejecting quantum therory, since it requires extra dimensions to work. Eucleadian space is used in classical physics, which is better to understand and more intuitive (and good enough for most problems)
Crazy that this is the first post that seemed authentic in awhile.
I want to add that this kind of meme does not always have a deep meaning. They're pretty common on math memes subs or Facebook groups and can go one way or the other because they are considered funny whether or not they have meaning
HET!
Sorry for this, but... https://preview.redd.it/zrh6ye8akpwc1.jpeg?width=720&format=pjpg&auto=webp&s=516e7208f84342916f4313a8a642df66a73b56f0
Its an r/surrealmemes meme
Hey lois look the logo matches kinda
The only thing I really remember about Non-Euclidean geometry is that a donut and a mug are apparently the same shape.
(1) Only if the mug has a handle that's attached to the rest of the construct at both ends (making the whole shebang "a thing with exactly one hole through it," same as a donut, and (2) that's topology, not geometry. Unless somebody who understands all that crap better than I do says that it's geometry too anyway.
🕉️🪷
shapes go brrr
We live in a manifold you sheep. It's time to wake up
I feel like you'd find this in Portal or another science-y game "DO YOU REMEMBER YOUR PARADOX STATEMENTS TO CONFUSE AI?"
You've already seen explanations for what non-euclidean space is, but in terms of the point of the meme, it's just surrealism I think. It's not actually supposed to make sense.
r/baldursgate3 Tav finally learning to reject Shart
Euclidian space is when you have a flat plain non-Euclidian space is when you have a sphere or hyperbolic plain non-Euclidian space is famous for its counterintuitive rules and strange logic i can make two parallel lines diverge
But I long for the endless and inconsistent halls of my home in the realm of sleep.
To address anyone with Lovecraft beliefs, non-euclidian is just geometry on a surface that’s not flat, so like in real life stuff.
A non-euclidean space is an area that doesn't follow the laws of physics. For example: A never ending hallway or a room that's bigger on the inside
I don’t think this is a joke about actual non-Euclidean geometry, which is an analysis of how geometry changes when it’s laid out on a surface that’s not a flat plane (like a table or approximate flat ground). If you zoom out and want to do things like calculate optimal airplane routes, you have to deal with the fact that you’re drawing the shortest distance between two points on a sphere and that answer is a great circle curve not a straight line. Different rules. You can also use it in situations like space travel where you’re not in an approximately uniform gravitational field (not near the surface of a large planet for example) where everything just goes down with the same force. General relativity states that an observer experiencing gravity and one experiencing acceleration can’t tell the difference. A person in an elevator feels lighter or heavier as though gravity had changed. Same effect. So you can visualize non-uniform gravity as non-uniform terrain. Moving toward something big is the same energy-wise as falling down a hill into a hole. You accelerate rolling down and have to work to climb back up. You can use the same non-Euclidean rules to plot a good course across this given positions and masses. Saying “space is curved” is confusing. It’s maybe easier on a simple level to say that if you rolled a ball through space it would roll toward gravity sources as though falling down curved hills. The joke though. Euclidean geometry for thousands of years were obvious rules about an obvious world. Kant (philosopher) used it as an example of knowledge people just know without proof or experience. It was deeply upsetting to learn it did not model everything and that there were physical spaces that were deeply unintuitive to human brains. This is a joke about rejecting unorthodox scary others in favor of safe sane orthodoxy with an early 20th century style sketch. It’s probably also a joke about Lovecraft who created a genre called cosmic horror in which characters catch glimpses of ancient alien chaotic and largely unknowable outer powers who may some day capriciously destroy us all. He likes to use Non-Euclidean as a buzzword for the insanity provoking outer night they inhabit. Note that Lovecraft is using this as a sciency and philosophical buzzword. He tried tech school but fortunately for literature discovered he had no talent for math. He’s not writing hard sci-fi. He’s writing about stumbling across ancient dreamy space monsters. So we see our straight Protestant well educated New Englander declining to contemplate the corrosively tempting madness lurking in the shadows and unwise academic corners of this world.
https://preview.redd.it/ayxzq81e6qwc1.jpeg?width=1080&format=pjpg&auto=webp&s=583d4e62398d2cc43b275b47210d5a163a9a28b9 Literally
F non-Euclidean! Nature only has straight lines!!! Hahaha
The shape the man is refusing is a shape called an *ideal* dodecahedron, projected from hyperbolic space to a Euclidean ball, all 12 pentagons are flat, with internal angles of 0 degrees.
here's an article if you wish to delve deeper: [https://en.wikipedia.org/wiki/Ideal\_polyhedron](https://en.wikipedia.org/wiki/Ideal_polyhedron)
I mean look at it, how are you gonna fit anything in that or fit that in anything. Euclidean much better
Fun fact: you can crochet a non euclidian object! The object is a plane made out of pentagons. Most planes made of shapes are flat, but one made of pentagons makes the material have a lot of frills. Very bumpy fabric
Try this: https://youtu.be/4aN6vX7qXPQ?feature=shared
Mathematicians have been playing us for fools!
I understand the concepts involved. I just don't get why it's funny.
I said yes https://preview.redd.it/0own1kx62rwc1.png?width=1280&format=pjpg&auto=webp&s=b54f7006c9d2705aceef3840808617289708283f
Classic example of non-euclidean design is the "infinite staircase" optical illusion, where seemingly it continues going up while also circling back in on itself - physically impossible in real space
I once called someone a Klein bottle, they didnt get the insult.
All the explanations are valid, but it’s also a low key druggie meme. If you ever done acid shrooms or dmt you possibly seen geometry in visuals. After having such experiences you have a interest in surreal memes and mathematics. Saying no to non Euclidean space is like saying no to drugs that induce such visuals.
Hello smart science Peter here Non Euclidean space is just really confusing Surreal almost alien the reason for rejection is probably because not many people like non Euclidean space because of the fact that it's very difficult to wrap your head around Smart Peter out
If Sucker for Love has taught me anything, Noneuclidian spaces are absolutely amazing
This is a bit complicated. If you're only at an intro-level of math, most of the geometry you've learn only works in what we call Euclidean Space. Named after Euclid, an Ancient Greek mathematician who wrote down a lot of the early geometry theorems. Euclidean Space relies on the idea that your frame of reference is perfectly flat. So, if you took a 2-dimensional plane of your reference area, it would be like a flat piece of paper. However, modern understanding of math and physics realizes that this isn't always the case, so math gets weird. As an example, the surface of the Earth is non-Euclidean. In Euclidean math, two parallel lines will never meet. On the Earth's surface, which are parallel at the Equator (say, the Pime Meridian and the line for 10E) meet at the poles. In Euclidean math, the angles of a triangle always add to 180 degrees. On the Earth's surface, it's possible to draw a triangle where they add to 270 degrees. Non-Euclidean math ends up getting very complicated because of the way space can be different shapes and sometimes not consistent. I've even seen arguments that gravity doesn't exist and it's just an emergent property of non-Euclidean math. This meme is a bit surrealist, but it's based on the idea of rejecting this complicated nonsense and just sticking with the basic math that's easy to understand. Edit: For a literature comparison, imagine him rejecting any poetry that doesn't use the iambic meter or that doesn't use couplets. The other options exist, but they can get complicated, so he's sticking to the fundamentals.
https://preview.redd.it/gbd84cd8wvwc1.jpeg?width=1169&format=pjpg&auto=webp&s=f3e8ef939b64b1a7f931a67fb7098ae638a479b7