I've seen some funny Unity tutorials showing the illusion by using two spheres. One is moving back and forth and the other is growing and shrinking and you can't tell the difference.

The image of an “infinitely far away” object can land anywhere on the horizon. There are infinitely many vanishing points, and these are *different* from points at infinity. Edit: Not to mention there are infinitely many horizons. To see that, just tilt your head: you can make the horizon vertical if you want.

It's basic linear algebra. It's probably in the realm of "intermediate" simply because of that. I do agree though, it's relaxing to be able to sit through a lecture without having to think much about what is being said.

Just watch a youtube tutorial. These are meant to be presentations about professional game development not lessons.

But keep in mind, all those things are just simplifications from projective space and plucker coordinates to make them more intuitive. To understand the real reasons and logic behind it (f.e. why you call directions points with an infinite distance or why you dont have problems with forcing w to be 0 or 1), it not suffices to look at those videos.

this is just the tip of the iceberg, there a whole lot more to learn. I would advice you to read Multiple View Geometry by Hartley and Zisserman. Once you have a clear understanding of the math the possibilities are infinite, not just for graphics proramming but also for computer vision and robotics.

@@ginxxxxx thanks! I didnt knew that advise was a verb, and advice a noun. Thanks for pointing that out! Its a sign that I need to read and write way more than i think.

Precisely! The transformation matrix can be thought of as defining our coordinate system, and every vector we input through it (ie, every vector we multiply it) is going to be put in relation to the new coordinate system. Think of his example of the dog-head sprite. It is expressed in some local coordinate space by a position. After applying the transformation matrix, the result is the sprite being "placed" in the new coordinate system, defined by the transformation matrix (but crucially, the actual coordinates, are still in "our" coordinate set: The local ones). It's basically doing half of a change of basis - see for example the 3blue1brown video on change of basis.

Start off with scripting (C# for Unity perhaps?), learn about vector math (which is basic game math). And try out a game engine like Unity.

Thank you! I'm looking for it. I know some things about mathematics, because I'm Systems Engineer and studied a lot of Physics and Mathematics. I'll tell you how I'm progressing. Kind regards.

Ya you dont have to be expert on 3D math. Sometimes for 3D games all you need is simple 2D vector math.

planning.cs.uiuc.edu/node99.html#eqn:2dhomog or if you don't want links just google "steven m. lavalle 2d homogeneous". it explains coordinates in a very good way. And also, do some tutorials in unity. they give you good understanding of how to make games and you learn things not specific for unity but more like how different things work together to make a whole game.

William Rowan Hamilton, or Benjamin Olinde Rodrigues. The latter sort of discovered it first, but Hamilton got the big picture.

@@Scy stfu

@@Scy Hamilton invented quaternions, but using homogeneous coordinates so that you can use matrices to conduct affine transformations? Was he the one to invent that?

A follow Gen Z in the comments

COLTON DOUGHERTY Rome wasn't built in one day. Take your time and play around making simple 3D scenes in OpenGL. Make it fun :)

Game design isn't programming. I assume you meant you could never be a programmer, and, like jostein said, you learn a little bit at a time. I'm a self-taught programmer and i don't understand a lot of these talks, but i manage anyway.

hey this is for someone who has intermediate knowledge of 3D math. I have developed games and simulation software for 5 years without knowing how the projection works. Sometimes you don`t have to know the deep especially when you are not in to graphics programming. Chill and try to learn from a simple OpenGL tutorial. Good luck !

@@amilamad 3

Agreed. I think the talk was more of a quick guide on math for beginners, rather than a recap for someone who already studied it, so he shouldnt go too fast. Still good tho

Yeah, it lost me too (and annoyed me :p)

Not a talk for I then. :/

He probably agrees but he's just doing his best despite. I'm sure I'd mess it up also myself. :)

Oh the greatness of YT providing the ability to slow down playback speed!

This really wasn't a long way to go. It was concise and clear.

thats how teaching works, either you do it properly and clear, or you dont maybe on your head these things are all very short and simple, but to present/teach you actually need to make sure you are being understood btw the presentation was short

your head forms an efficient understanding once you understand the logic. you could write it down and perfectly understand it on a single slide. but your prior self would take longer to take in and understand that the same way. you'd have to do the thinking yourself. what this video does, is give you the perfect chain of thought processes needed. the questions that need answering to properly understand it. heck, your prior self could try skim through the slideshow hisself and see if he'd understand it all faster. but no, having it explained at the right pace was best.