3 ms·

For graphics rendering Euler equation doesnt matter. Colours are 0.0-1.0 and have no relation to reality, but it works. Same with rotations (if we’re not using

For graphics rendering Euler equation doesnt matter. Colours are 0.0-1.0 and have no relation to reality, but it works. Same with rotations (if we’re not using Quaternikns)

wyager 1mo ago
> For graphics rendering Euler equation doesnt matter. Huh?? "Euler angles" are one of the most popular representations in computer graphics! The only other good alternative is quaternions, where as you say this also matters!
- ErroneousBosh 1mo ago
  Yes, but do you really need to scale all your values to make the rotation amount fit into a sin() call, only to have to scale them back again when you're done? I think what they're getting at is "why are we scaling everything so one full turn is sin(6.28ish) when we can just say sin(1)?" You could easily try it out by defining a function that replaces sin(), cos(), and tan() with their "turn" equivalents, and seeing how you get on.
- tempfile 1mo ago
  Euler angles have nothing to do with e^ix = cos x + i sin x. They are a completely different concept.
  - messe 1mo ago
    Yes and no. The x in e^ix is to SO(2) what Euler angles are to SO(3).
    - tempfile 1mo ago
      This really only says that the connection between Euler's formula and Euler angles is that they're both angles. I would agree with that.
      - messe 1mo ago
        One represents rotation in 2D space, the other in 3D. So I think it's a bit more than that.
  - wyager 1mo ago
    I am very familiar :) using euler angles involves using trig functions, which is what this thread is about