No arguments here

Not a polygon

I'm not a math major, but I always considered it that a square is a special case of rectangle, a rectangle is a special case of parallelogram, and a parallelogram a special case of a quadrilateral, a quadrilateral a special case of a simple polygon.

This shape isn't a polygon, so it cannot be a square.

All I can see:

https://www.bricklink.com/v2/catalog/catalogitem.page?P=40243#T=C

Rotate the cone towards you.

Now you see this. 🤯

Oh let's get pedantic!

The curved edges technically have infinite "side".

Hey, that's my job!
Also I don't think that's technically the technical classification. I think that sidedness is an attribute that simply doesnt apply to curves.
\ You can approximate curves with some number of sides, and the approximation gets more accurate as the number approaches infinity, but it doesn't actually have the infinite sides.
- Very cool! I'm always happy to learn something new!
....and a square has four interior 90 degree angles.
...and based on the infinite number of sides for a curved line aspect, the "90 degree" angles would all be +/- the limit as it approaches zero, so never truly 90 degrees but always an infinite fraction away.
- the angles are interior if you go into the scary world of high level maths and their weird fucking geometries.
  this is a square, from a certain point of view
- Someone knows more calculus than they are letting on...
- Yeah, we gonna need more rigor on this one.
  "A square is a shape made up of four equally long lines a, b, c, d where a is perpendicular to c and d and parallel to b. Each of these lines meet exactly two other lines at it's ends."
  I'm not a mathematician so there might an odd case somewhere in there. Maybe it has to be confined to a shared plane?
Not if this square is a projection of a curved surface
- If it is a projection, then there are more than two curved sides, which also begs credence to the interpretability of the angles they intersect.

Diogenes go home.

Mathematics by Diogenes

Didn't a square need broad nails or something?

Wrong. This is a definition of a [pizza] + [the extra peperoni from the other slices that got stuck to that slice because the cutting was imperfect]

Plus the table.
Listen if they put a pepperoni in the center of the pie then a poor cut is clearly the least of our concerns
- Always put a pepperoni in the exact middle. It's like a wishbone, but for pizza. The person who gets the majority of the center pepperoni gets a wish.
Peperoni are bell peppers. I have no idea why the USA chose to use this word to mean salami, instead of, you know, salami.
- You're thinking of peperoncino, a spiced chilli pepper also known as sweet Italian peppers. We still have salami in the US.
  I'd guess pepperoni is called that because it's dried salami with pepper seasoning.
  I found a link just randomly googling. https://www.thoughtco.com/you-say-pepperoni-3972377
- Pepperoni and salami are totally different dude, you might as well be saying that Americans should just call their potatoes "yams". And you can get both of those sausages and many, many more on your pizza, often at the same time

The interior angles need to be equal 🤓

Here you can see how things go haywire when skipping minor parts of definitions.

Tut tut, all these maths books promoting unhealthy square shapes, real squares have curves.

Does no one understand this is a joke, talking about parallel lines and mathematical proofs is pointless when its a fucking meme

It's not pointless because you can laugh about a joke and then learn something about math.
They don't cancel each other out. They can be at the same place and still work on their own.
- I love memes that are funny on their own, but also provide discussion material.
You're having fun wrong!!1one
Or the fun part.
Its wrong though so the joke falls flat
- Didn't realize jokes have to be literally correct
We do understand it's a meme and a joke. Just not a very good one, because one can easily poke holes into it.
- Just not a very good one, because one can easily poke holes into it.
  That's not how jokes work.
- Its supposed to be absurd, taking it seriously makes the already bad joke even worse
These are parallel too. They just look that way because they are project on to the euclidean plain.

Thanks, I hate it.

Straight lines. Also two sets of parallel lines. This is one definition of a square, but not the common one.

This shape could exist as a projection onto an upright cylinder, wrapping around the cylinder. The two straight edges go vertically along opposite sides of the cylinder. The curved lines wrap around the circumference. The lines are now straight and parallel on the net of the cylinder.
But we can go further: Imagine taking this cylinder and extending it. Wrap it into a loop by connecting the top to the bottom so it forms a torus (doughnut) shape. This connects both sides of the shape, now all “interior” angles are on the inside of the square, and all “exterior” angles are on the outside. The inside and outside just happen to be the same side.
I believe these lines are straight with a black hole at the centre.
- straight, gay, lines are lines. let them be.
- If that's so, the angles are probably not right angles.
Can straight be defined in a nonlinear environment?
- I would guess on a sphere these can be straight yes: The pole goes into the center of cicular thing and radius of the sphere needs to put the other arc on one latitude.
- Euclid's first postulate: Give two points, there exists exactly one straight line that includes both of them.

ITT: math people going "listen here you little shit"

Someone never had to deal with mathematical proofs, only layman's definitions.

All properties of a parallelogram apply:

Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals bisect each other

AND

All angles are congruent
All sides are congruent
Diagonals are congruent
Diagonals are perpendicular
Diagonals bisect opposite angles

Of course, but such strict definitions only come about because smart people come up with examples like OP when you don’t add the full definition.

A square must also have two pairs of parallel sides.

Calculus can find you two pairs of parallel sides, right there on the circle!
No it doesn't. Right angles + equal length is a sufficient condition
- No, it isn't. A square is a plain, convex and regular quadrilateral with four internal right angles.

I get downvoted for bringing it up, but for fuck's sake you're dumping literally everything into this community regardless of the fit. There are a dozen (I'm estimating) other communities that could benefit from the content you post but you have thus far insisted on only posting here.

Can you at least make the tiniest effort to spread content to other communities that would benefit from the increased views and potential subscriptions?

I shall await the fun police and everything's a meme comments.

At least it's better than endless American politics.
I'm sure there are more than a dozen and you are right. I'm still trying to get the hang of the whole fediverse thing, but so far most of the more niche communities I have tried to interact with are on different servers not federating with each other? Or maybe I'm doing something wrong? Not sure about that one. Also not sure if cross-posting works. I mean I know it works, but do those posts federate correctly? Can other fediverse apps see them correctly?
- I thought your post was funny
- The !lemmyshitpost@lemmy.world community fits great for this post.
- I thought it was funny, but maybe they have a point? I didn't even realize I was on the memes community, I just assumed this was on lemmyshitpost. I guess it's a stretch to call this joke a meme.
Dumb question but wasn't there a cross-posting button so you can spread this meme to other communities?
Thank you for calling it out. Had a look at post history and I agree, blocked. Lemmy is attracting all sorts of random noise lately.

If it clucks likes a chicken and scratches like a chicken, it's Man.

- And for those who don't: Plato, a Greek philosopher, was putatively asked by a student while teaching at the Academy what the definition of a man (human) was. Plato responded that a man is a "featherless biped".
  Diogenes, another Greek philosopher and infamous quick-wit, caught wind of this and thought that was the dumbest thing ever, so he gate-crashed one of Plato's lectures and pulled out a chicken which had all of its feathers plucked out and said "Behold, a man!".

Dammit Diogenes, this is why we don't allow you in the geometry class anymore.

Solution:

Explanation:

in order for the straight lines to be 90 deg with the circles, they must be radii of circles with same central point
the length of an arc is defined as c = r θ (where r is the radius, and θ is the angle)
we define the inner circle with radius r₁ and its arc L₁ = r₁ θ₁
we define the outer circle with radius r₂ and its arc L₂ = r₂ θ₂
Because of (1), θ₁ + θ₂ = 2π
To create the shape, L₁ = L₂ = r₂ - r₁

If you start replacing and solving, you will get a 2nd grade quadratic, which has a positive and a negative solution. The positive solution is that magic number.

Why point (5)?
- Since the straight lines are radii, they cut the circles at angle θ and 2π - θ, respectively. Adding those, you get 2π.

Learned this one in 6th grade geometry: drawing a square in thr corner doesn't make it 90°

But these are all right angles, as long as the two arcs are centered on the same point as the intersection of the two straight lines.
drawing a square in thr corner doesn’t make it 90°
No, it doesn't, but it does mean that, for the purposes of your 6th grade geometry question, you can assume the angle is a right angle. Even if it visible looks like 45°, if they put a square there, that's 90.
More to the point though, a radius of a circle always meets the circumference at 90 degrees. All the squares in this problem are doing is telling you "this line, if it were continued, would be the radius of the incomplete circle".

Coincidentally also the logo of !opensource@lemmy.ml.

The Diogenean Theorem

People are taking c/Memes a little too seriously