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rmvenkat

Why does \bar q * x * q yield the same result as the rotation matrix? I didn't quite understand that part.

Ace

Why is the angle divided by 2 when given to each of the cosine and sine functions?

Senbei

Looking at this series of explorable videos: https://eater.net/quaternions.

They help a lot to understand the match between a quaternions and the rotation information it encodes.

Yet I still can't quite understand the more in-depth reason why the quaternions encodes such rotation information.

justaddwater

I'm also confused about how \bar q * x * q show the rotation as well. I'm not sure how it makes sense why we need \bar q, wouldn't that undo q or something like that? I will check out the video series to better understand this.