No arguments here
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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. -
....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.
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?
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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.
Dumb question but wasn't there a cross-posting button so you can spread this meme to other communities?
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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-3972377Yes, peperoncini are a bit like chili. Peperoni is literally "bell peppers" though. Peperone in singular.
https://dictionary.cambridge.org/dictionary/italian-english/peperone
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Diogenes go home.
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Mathematics by Diogenes
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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.
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Since the straight lines are radii, they cut the circles at angle θ and 2π - θ, respectively. Adding those, you get 2π.
Okay, but... Why? Is that a theorem that I don't remember from school?
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Mathematics by Diogenes
Didn't a square need broad nails or something?
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Someone knows more calculus than they are letting on...
Hey, I failed the highest level of calculus possible. Twice.
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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?
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.
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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.
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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
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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
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....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
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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.
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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. -
The interior angles need to be equal
wrote on last edited by [email protected]Here you can see how things go haywire when skipping minor parts of definitions.
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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!
