More specifically, the power series proof of Euler’s identity.
Comment on functional
Hasherm0n@lemmy.world 1 week ago
For anyone else that needs the reminder, the one on the right is Euler’s formula.
logicbomb@lemmy.world 1 week ago
MonkeMischief@lemmy.today 1 week ago
Oh sweet! That’s the magic that makes rotations work intuitively in Blender and game engines! :D
… Still can’t say I understand it but I sure am grateful!
logicbomb@lemmy.world 1 week ago
I thought the magic that makes rotations work intuitively in games was quaternions.
MonkeMischief@lemmy.today 1 week ago
Wait, you’re totally right! I had it turned around!
Quaternions avoid the gimbal lock issue, and are more efficient overall, but they’re a bit more complicated to understand.
Euler is more user-friendly on the editing side of things, and easier to understand, but it’s got some shortcomings.
Both are an option in Blender and Godot for instance, because one might suit a given situation better than the other.
kautau@lemmy.world 1 week ago
It’s amazing how much a visualization can help to explain
Image
Like I had to take a few higher level math classes in college since I majored in comp sci, and the difference between a professor just writing notation on a board and rambling for an hour vs a professor explaining application and using visuals to explain was such a wild difference in the quality of classes
rothaine@lemmy.zip 1 week ago
Meanwhile Euler was coming up with all this shit while being blind
deepus@lemmy.world 1 week ago
Euler: What is one banana and why does Tom have seven?