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Everyone talks about the 4th dimension, BUT why is 3D geometry so hard for the average person compared to 2D ? (lemmy.ml)

submitted 1 day ago* (last edited 1 day ago) by zaknenou@lemmy.dbzer0.com to c/asklemmy@lemmy.ml

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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.

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[–] zaknenou@lemmy.dbzer0.com 1 points 13 hours ago* (last edited 13 hours ago) (1 children)

ADHD driven hard work could never disappoint huh?

But what was the advantage of QuickBasic? Weren't C++ and Javascript around at the time? I only hear about them in this context

[–] over_clox@lemmy.world 2 points 13 hours ago* (last edited 13 hours ago) (1 children)

Things were different back then. QBasic was free yo, I couldn't afford $200 or whatever for paid development software. Besides, I was just starting to learn anyways.

Later on I did end up finding a pirated copy of the full QuickBasic 4.5 at least, which allowed more RAM usage for my programs.

Edit: In a parallel universe, if I could have afforded it, I might have otherwise started with Borland Delphi.

[–] zaknenou@lemmy.dbzer0.com 2 points 12 hours ago

retro computing was so chad