@Hagel yeah actually had a teacher who seriously tried to convince us that ghosts lived in her home and she was our presumably uneducated but still employed to be our natural science teacher.

`So now I can calculate the geometric distance between any number of abstract concepts that might have 48 dimensions, and still you can compute the distance with more dimensions than exists in the 3d space we can percieve. Things I was told I could never do smile`

That's pretty cool dude. I can last like 50 minutes right now. Usually I can put it back in for another round right after.

lol

You use the pythagorean theorem to compute the distance, assuming it's 2d you can represent a point as a 2d-vector in the cartesian plane then it will have an x and a y coordinate.

Those are the dimensions of the vector.

wait nigga what are you trying to figure out

like in real life what is it you're trying to do

Showing how the pythagorean theorem works in an infinite number of dimensions not just with two dimensions like you learn in shool it has broad applications in computational geometry, 3d computer graphics, measurements of the earth, space navigation, physics it's endless.

😄

so 2d pyfagorean theorem gives you the hypotenuse length, if you add a dimension does it give you the triangle's area?

like if you take 3 line segments, does it give you the area of the triangle between the points?

just trying to understand the application concept

you can extend the theorem to 3 dimensions for example all you have to do is add it as well like sqrt(a^2 + b^2 + c^2)

that's it, it applies to any number of dimensions

that's it? square root of variables squared?

to find a length between 2 points ye

I see

length between 2 points

so in the 3d version, where you had 3 vectors at right angle, what would the result of that tell you

And if you modify the pythagorean theorem or just subtract two vectors/points with eachother and then compute the pythagorean theorem on the resulting vector from the subtraction you get the distance between the two points in space.

nigger turn down your autism, just answer my questions straight so I can understand

if you had 3 vectors that were all perpendicular to each other it would tell you the total length of all 3

only when all are perpendicular

okay

wait... so if you had 3 vectors perpendicular, all with magnitude 1, that theorem would give you sqrt3, like 1.7

yeah

what does that magnitude equal in actual geometry

and then if you had 4 dimensions you'd get 2, etc.

Are you making a Michael Angelo painting with the guy stretched out all golden ratio like with your words my nigga?

So if you have a vector represent an individual human the dimensions could be their age, height, sex etc etc. Then you could have a cloud of points representing people and then compute the distance from one person to another across all their different metrics.

so you have 3 vectors 1 unit long all perpendicular, then 1.7ish as the result of the formula, but what is the 1.7? distance from what to what?

@༺པརབྱར།བསངཇ༻ me?

if you line up all vectors one after the other, that would be the shortest length from the beginning to the end

@Someguy yes

like the triangle hypotenuse, the exact same as that but in 3 dimensions

@༺པརབྱར།བསངཇ༻ I painted this my nigga https://i.imgur.com/POmzlFc.jpg

Hope you like it.

who is that

J do you suppose you could draw me a quick MSpaint pic?

google has some good ones

ah, I see