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this post was submitted on 08 Jun 2025
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Oh let's get pedantic!
The curved edges technically have infinite "side".
....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.
Someone knows more calculus than they are letting on...
Hey, I failed the highest level of calculus possible. Twice.
I'll have you know that I passed the two lowest levels of calculus required for my degree. So you know, I'm something of an expert.
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?
Lines are infinitely long... do you mean line segments?
Wikipedia has a good enough definition: "It has four straight sides of equal length and four equal angles." Nice and simple.
Pentagon fits that definition also since it doesn't specify "it has four and only four" sides
So you're saying this is the outline of a square in the astral plane? Because it sounds like you're saying this is a square in the astral plane.
No, just a 2d plane
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
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.
Well angles between 3 points are always going to be angles. If your choose a different configuration of dimensional parameters you can effectively project a square from the 2D plane into this exact shape, then logically the angles would follow.
You lost me at 3 points. Could you dumb it down a bit?
Yo bro let's downscale everything to 2D then upscale it to infinity or something, everything is possible when you project to this demonic crystal justttt this way /s
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!
I mean, I'm just pedantic; double check with a mathematician, to be sure lol
I'm genuinely curious, what is your job that requires arithmetic?
I feel like most jobs require arithmetic.
But it is not my career to be a pedant, just my role in life ๐
Fair