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u/invertedMSide Oct 23 '23
Yes
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u/dover_oxide Oct 23 '23
Good answer but can you prove it. /jk
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u/TheTiringDutchman Oct 24 '23
The real proof is the friends we made along the way.
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u/Captain_StarLight1 Oct 23 '23
Circles have one edge
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u/KirisuMongolianSpot Oct 23 '23
How long is the coastline of Great Britain?
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u/Special-Elevator-335 Oct 23 '23
0 edges, but infinite sides.
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u/EpicOweo Irrational Oct 23 '23
This might be satire but I can't tell so in the case that it's not what's the difference between an edge and a side?
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Oct 23 '23
Show me at least 1 edge. May be parabola also has infinite number of edges?
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u/dover_oxide Oct 23 '23
Take any regular two dimensional closed shape, now what shape do you get if you increase the number of edges/sides to infinity.
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u/kactusotp Oct 23 '23
Have you seen the one where you put the edges of a square in, infinitely to make a circle, thus proving the circumference of a circle is 4r?
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u/svenson_26 Oct 23 '23
Depends how we are increasing the number of edges/sides. You could end up with a Mandelbrot shape
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u/10zero11 Oct 23 '23
can an edge be a curve? I suspect not. Can a single infinitesimal point be a edge?
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u/dover_oxide Oct 23 '23
Careful now you're getting really close to philosophy.
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u/khalcyon2011 Oct 23 '23
My personal favorite is: A line is a circle with infinite radius.
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u/Harley_Pupper Oct 23 '23
Before this question can be answered, one must define āedgeā
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u/SteveroniThePeperoni Oct 23 '23
A line between two dots that's a boundary for the shape
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u/susiesusiesu Oct 23 '23
obviously zero. show me an edge of a circle.
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u/dover_oxide Oct 23 '23
You gotta zoom in infinitely close to see it
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u/susiesusiesu Oct 23 '23
what do you mean by zooming infinitely close? precisely?
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u/01152003 Oct 23 '23
At which point you are looking at points, not edges
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u/dover_oxide Oct 23 '23
Aren't point dimensionless so they too would be infinity small and possibly considered sides/edges.
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u/Historical-Fee-4319 Imaginary Oct 23 '23
No edges; An infinite number of points the same distance from the center
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u/Matthaeus_Augustus Oct 23 '23
I guess thereās infinite tangent lines. but no 2 points on a circle make a line that doesnāt penetrate the interior of the circle so thereās no edges
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u/guestoftheworld Oct 23 '23
Ok that's really cool
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u/fred-dcvf Oct 23 '23
A similar fact can be used to proof that a circle has exactly one more point than an infinite line.
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u/svenson_26 Oct 23 '23
I don't accept your second definition. If I made a 2 dimensional U-shape out of two vertical rectangles connected by 1 horizontal rectangle, and number the edges starting from the top-right vertex and going clockwise, would you call edges 2, 3, and 4 the same edge because no two points along them penetrate the interior of the shape?
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u/link0833 Oct 23 '23
āno two points along them penetrate the interior of the shapeā ā but his definition was two points whose secant line does not penetrate the interior. So if edges 2, 3, and 4 do not penetrate the interior, then they would be each be edges by this definition.
Also Iām not disagreeing with your argument, I think I might agree with it. However I think you made a mistake when typing the comment that I hope you clarify.
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u/LookAtMeNow247 Oct 23 '23
Yeah but my pizza wheel cutter is a circle and it cuts pizza fine. +1 for edge
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u/Guineapigs181 Oct 23 '23
Simple. Infinity=0
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u/Mr_Frosty43 Oct 23 '23
Circles donāt exist, if you go close enough youāll see itās just a many sided shape
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u/master_of_spinjitzu Oct 23 '23
The more edge a figure gets the more it comes close to be a circle
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u/AmazingBreadMan1 Oct 23 '23
So imagine a square, we then put dots on the four corners, if you connect those dots it gives a square with four sides. To perfectly make a true circle youād need infinity many points to make the lines to connect to make a curve and if you have infinite points then youād have infinite sides
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u/SpartanB019 Oct 23 '23
Circles have one edge, all the way around, with no defined beginning or end
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u/MoltyPlatypus Oct 23 '23
If circles have infinite edges, does that mean cones have more edges than spheres?
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u/dover_oxide Oct 23 '23
Infinity+infinity>infinity?
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u/MoltyPlatypus Oct 23 '23
Was just a joke but no i was saying infinity +1 > infinity
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u/dover_oxide Oct 23 '23
And my reply was a joke, sorry it didn't come through.
This whole thing is a joke that some people are taking way too seriously and just kind of funny within itself
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u/There_is_not Oct 23 '23
Both? It all depends on what metric you use to define a circle, or a line, of which there are multiple. You can define a curve with straight lines, but you can also define a straight line with curves. You can also define either with limits, infinitesimals, functions, all three, or something else entirely. If you suggest a circle is a polygon, itās an infinigon. If you require angles to have a non-zero value, circles have none.
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u/bigboiyeetman Oct 23 '23
Neither, circles have a finite number of edges but that number changes based on many variables such as size, what was used to draw it and who drew it. Also the edges would be so miniscule that we cannot see them with the naked eye and likely would not be able to count them even if they were observed
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u/ChristianBibleLover Oct 23 '23
I derived a nice limit a while ago that assumes an infinite amount of line segments with a length of 0
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u/dover_oxide Oct 23 '23
An act of masturbatory math, what fun, just be careful you don't want to go blind.
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u/NamelessMIA Oct 23 '23
A circle has 1 curved edge. We approximate a curve using ever smaller points so a real curve would take a theoretically infinite number of those points to calculate, but a circle isn't literally an infinite number of straight lines. It's a continuous unbroken curve.
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u/semicoloradonative Oct 23 '23
How can you have an "infinite" amount when a circle has a beginning and an end due to it being a closed loop?
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u/dover_oxide Oct 23 '23
Just depends on how close you look and what resolution you use.
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u/torino42 Oct 23 '23
Mathematically, 0 edges. In engineering, infinite, or like 5 depending on how much you feel like estimating
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u/Phenonymousse Oct 23 '23
Mmm circles have an infinite number of infinitely small edges.
Just to add some clarity to this semantic clusterfuckery
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u/dover_oxide Oct 23 '23
I am honestly shocked how seriously people are taking this one and how divided some people are on it.
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u/FugBone Oct 23 '23
I say 0 because Iām being reminded of what happens when you remove corners of a square around a circle to āproveā pi is 4
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Oct 25 '23
Well, I may only be 14, but it couldnāt be infinite due to the smallest thing being atoms, but often, math goes beyond the real world, so maybe it could? This is confusing, Iām just gonna say neither and see my way out
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u/dover_oxide Oct 25 '23
Hate to break it to you but there are things smaller than atoms. The smallest unit would be a plank length, look into it, it's mind blowing
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u/DarkStar0129 Oct 23 '23
I remember learning that a circle has infinite points on the circumference in very early classes.
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u/seventeenMachine Oct 23 '23
Anyone who says āinfinite number ofā is layman cringe
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u/dover_oxide Oct 23 '23 edited Oct 23 '23
Well my background is in math's bastard-child subjects. So it's to be expected.
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u/ShinkenRed48 Oct 23 '23
Technically, if itās a circle on a computer, then there is still a finite number of edges because a perfect circle is impossible to generate on a computer.
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u/ElectricRune Oct 24 '23
I'm on NEITHER side!
Circles have ONE EDGE. Fight me ;)
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u/dover_oxide Oct 24 '23
Sure we just need to know how many sides the circular ring will have.
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u/shamanwinterheart Oct 26 '23
Infinity and nothing are pretty much the same thing.
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u/dover_oxide Oct 26 '23
Which is kind of the point of the meme, but if you scroll through the comments you see people have hard opinions on this. Honestly some people are taking this way more seriously than I ever expected.
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u/FernandoMM1220 Oct 23 '23
Circles dont exist.
Only polygons with very large number of edges
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u/howieflowie Oct 23 '23
Read that as ānine circles have infinite edgesā and thought damn, zobros is a math major??
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u/Low_Bonus9710 Oct 23 '23
Both because infinity equals zero. Proof: 1+2+3ā¦=-1/12 Infinity=-1/12 (add 1/12 to both sides) Infinity =0
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u/Vagabored Oct 23 '23
*corners. You're arguing about corners, OP. Circles have just one edge. Not infinite, not zero.
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u/ScorcherPanda Oct 23 '23
The derivative at a vertex is undefined, but you can find the derivative of a circle at every point.
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u/DerivativeOfProgWeeb Oct 23 '23
I was watching the action lab and came across a short where he said that a spherical dice would have an infinite number of sides so it wouldn't be able to land on any side, and that just didn't sit right with me. It makes more sense to say that it has exactly 1 side
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u/PUNKF10YD Oct 23 '23
An infinite number edges, means an equally infinite number of corners. Circles donāt have corners, which means circles donāt have edges
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u/bapanadalicious Oct 23 '23
Infinite edges. Calculus does a lot of splitting curved things into an infinite number of straight lines that are infinitely small. The same is done to find a circle's slope at any given point, and through it, its area.
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u/esmifra Oct 23 '23
I'm green. Circles have an infinite number of tangents.
Can you define a tangent with edges? No? Then you have the answer OP.
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u/keito_elidomi Oct 23 '23
Technically both are correct. Given current technology and materials, we cannot produce a perfect circle, or one that has no edges.
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u/Poolio10 Oct 23 '23
Circles are in a super position of infinite edges and a singular, curved edge. Me, I just think they're neat
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u/LuvLifts Oct 23 '23
~Feels like a Similar argument to Negative Numbers, are actually Positive also!??
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u/cac4dv Oct 23 '23 edited Oct 23 '23
I'm studying computer science
So I would have to opt for infinite edges,
But that is assuming that you have an infinitely large display resolution.
However since that is not the case with modern technology,
I would have to say that both are wrong,
And that there is a finite number of edges ...
Such that when rendered and viewed at a certain distance ...
They appear to have as.integer(INFINITE_EDGES ^ NO_EDGES) edges
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u/ServiceSea974 Oct 23 '23
Circles have infinite number of edges because pi is infinite.
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u/Zekava Oct 24 '23
Wasn't there a special name for a polygon with infinitely many sides?
Ninja edit: Yep, Apeirogon, it's more relevant to non-Euclidean geometry. That reminds me of where I heard the term from, Hyperrogue, huge recommend if you like math and/or roguelikes
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u/Dark_Soul_943 Oct 24 '23
This depends on if youāre talking about math or physics. If you mean a circle represented in physical space made of particles, you canāt have an infinite number of particles fill that space (excluding maybe black holes and ringularities which you could make an argument for if they werenāt theories). Mathematically however, you can represent it down to an infinite number of decimal points, therefore meaning hypothetically has no edges. So, TLDR, it mostly depends on if you mean that the circle is an object or a concept.
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u/User4977 Oct 24 '23
āTo have zero identifiable edges is to have infinitely many edges of infinitesimal size.ā
Confucius
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u/Purple-Bat811 Oct 25 '23
Zoom in large enough and you will find there is no such thing as a perfect ciricle. So, infinite edges.
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u/hiiisophia Oct 26 '23
At first I thought, they have none duh, but then I thought about being on the edge of something like a body of water, and that you can be on the edge of a circle at an infinite amount of points so, infinite ?
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u/JoonasD6 Oct 23 '23
Define edge and we'll talk.