this post was submitted on 16 Jun 2025
8 points (56.5% liked)

Asklemmy

48837 readers
476 users here now

A loosely moderated place to ask open-ended questions

Search asklemmy πŸ”

If your post meets the following criteria, it's welcome here!

  1. Open-ended question
  2. Not offensive: at this point, we do not have the bandwidth to moderate overtly political discussions. Assume best intent and be excellent to each other.
  3. Not regarding using or support for Lemmy: context, see the list of support communities and tools for finding communities below
  4. Not ad nauseam inducing: please make sure it is a question that would be new to most members
  5. An actual topic of discussion

Looking for support?

Looking for a community?

~Icon~ ~by~ ~@Double_A@discuss.tchncs.de~

founded 6 years ago
MODERATORS
 

I think 3D geometry has a lot of quirks and has so many results that un_intuitively don't hold up. In the link I share a discussion with ChatGPT where I asked the following:

assume a plane defined by a point A=(x_0,y_0,z_0), and normal vector n=(a,b,c) which doesn't matter here, suppose a point P=(x,y,z) also sitting on the space R^3. Question is:
If H is a point on the plane such that (AH) is perpendicular to (PH), does it follow immediately that H is the projection of P on the plane ?

I suspected the answer is no before asking, but GPT gives the wrong answer "yes", then corrects it afterwards.

So Don't we need more education about the 3D space in highschools really? It shouldn't be that hard to recall such simple properties on the fly, even for the best knowledge retrieving tool at the moment.

you are viewing a single comment's thread
view the rest of the comments
[–] ProfessorOwl_PhD@hexbear.net 3 points 3 days ago (2 children)

So Don't we need more education about the 3D space in highschools really?

How often do you think most people need to know the advanced mathmatical properties of 3d space?

[–] zaknenou@lemmy.dbzer0.com 1 points 3 days ago* (last edited 3 days ago) (1 children)

I think it is a shame that I'm a math student in university and needed to verify about such a thing. And if we're talking about people doing physics it might be even worst if they suck like me at 3d geometry.

[–] Danitos@reddthat.com 2 points 3 days ago (1 children)

Math students in university need to verify basically everything, that's a lot of what the career is about. I remember being humbled when asked to prove something as familiar to everybody as -1 * -1 = 1

[–] zaknenou@lemmy.dbzer0.com 1 points 3 days ago

hhhh abstract algebra and proof writing courses.

[–] CanadaPlus 0 points 3 days ago (2 children)

I mean, we live in it. It comes up in practice fairly often.

[–] kayky@thelemmy.club 2 points 1 day ago (1 children)

Let me guess, you're the kind of person who thinks we need to understand gravity to make use of it.

I really wish people like you could just have their mouths taped shut and their fingers glued together.

[–] CanadaPlus 1 points 1 day ago* (last edited 1 day ago) (1 children)

That's pretty mean, bro/brah/other.

Even in the days of catapults, rough formulas for the effects of gravity made them work a lot better. Knowing "it goes down" can do a bit, but not everything. If you somehow didn't even know that it would be useless.

[–] kayky@thelemmy.club 1 points 1 day ago

Your misunderstanding comes from the type and amount of people that needed to have that knowledge.

For example, we don't need to know about ballistics to use a gun.

Even in the days of catapults, rough formulas for the effects of gravity made them work a lot better.

Do you have a source for this? I'm genuinely curious, considering Newton didn't show up until the 17th century.

[–] ProfessorOwl_PhD@hexbear.net 2 points 3 days ago (1 children)

We use plenty of simple geometry everyday, sure, but you don't need to be able to even understand what OP's example says to engage with the world. Like you don't need to provide a mathematical proof to put a shelf up properly.

[–] CanadaPlus 0 points 2 days ago (1 children)

Besides understanding what a projection is, I'm actually going to say that's all pretty important stuff to know. A point, forming a line between points, how to describe a plane and what perpendicular means.

If you want to do graphics projections suddenly become very important, but sure, you can explain carpentry without it. Although if you want to draft the solution first the concept will be at least relevant.

Like you don’t need to provide a mathematical proof to put a shelf up properly.

Kind of a separate issue yet. Even with OP's example, you can explain the solution in natural language pretty easily, but the obvious way to formally prove it would be with linear algebra.

[–] ProfessorOwl_PhD@hexbear.net 2 points 2 days ago (1 children)

How many people do you think are working in computer graphics? It's specialised knowledge, exactly the kind of thing that should be taught at university to the people it's relevent to.

you can explain the solution in natural language pretty easily

It's not about how you phrase the solution, it's about needing the solution at all.

[–] CanadaPlus 0 points 2 days ago

Yeah, agreed, but like I said most of this is not advanced or specialised.