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 …

How does one find the angle difference between two quaternions. There was an answer to this post which says the angle difference between $x$ and $y$ is $z=x\ast \mathrm {conj} (y)$.

May 27, 2020 · Quaternions have real and imaginary parts, or one may call them a scalar and vector part. That is, we can interpret $\mathbb {H}$ (named after Hamilton) as $\mathbb …

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 …

There are quaternions and octonions and even sextonions but what about trinonions, quinonions and septonions. Are there 3, 5, and 7 dimensional algebras which could be called trinonions, …

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 …

Sep 21, 2020 · With quaternions you have to consider some preliminary things: General quaternionic polynomials could potentially look something like this: $$1 - qiq^2jqkq$$ due to …

Dec 9, 2019 · @Michael Albanese I mean the group of Unit quaternions. Which I think is simply connected almost trivially, correct?

May 6, 2021 · That depends on what "we" know already. For example, how do you define the Lie algebra of a Lie group? Certain invariant vector fields? Tangent space at identity? Something …

From my understanding, in spatial applications (3D rendering, games and similar applications) quaternions can only be used to describe rotations/orientations and not translations (like a …