Quaternions are a way of specifying a rotation through a axis and the cosine of half the angle. They main advantage is I can pick any two quaternions and smoothly interpolate between …

Oct 19, 2010 · After a couple awesome moments of understanding, I understood it for imaginary numbers, but I'm still having trouble extending the thoughts to quaternions. How can someone …

May 27, 2020 · How many questions about understanding quaternions have you read on the site? This is something that people are constantly asking about, so there is plenty of material. If …

Mar 21, 2024 · However I should answer this soon to other members of my work group. My understanding of quaternions is composed of four values w,x,y and z and that they can be …

Why are the only (associative) division algebras over the real numbers the real numbers, the complex numbers, and the quaternions? Here a division algebra is an associative algebra …

I think the geometric algebra interpretation of complex numbers and quaternions is the best, since it reveals more directly the fact that the "imaginary numbers" can be seen as encodings of …

Given multiple quaternions representing orientations, and I want to average them. Each one has a different weight, and they all sum up to one. How can I get the average of them? Simple …

Feb 14, 2018 · The demo generates 10 random unit quaternions and then interpolates between them indefinitely. It shows 12 WebGL canvas instances, 2 per algorithm. The top canvas …

Oct 12, 2011 · There are only four normed division algebras (algebras where division by nonzero elements is possible) over the reals: the reals themselves, the complex numbers, quaternions, …

I'm trying to rotate a 4 dimensional point (w,x,y,z). So far I've been rotating around planes (wx,xy,yz,zw,wy, and xy), but the order in which I do these rotations changes the results and …