Category Archives: Quaternions

Real magic – space-time in Lie algebra

Posted on 2017/04/29 by arkajad

We start with a partial recall of events as they transpired so far. A month ago we became hyperbolic. The post Getting hyperbolic started with this sentence: Without knowing it, during the last three posts (Our first field expedition, Our … Continue reading →

Posted in Hyperbolic geometry, Quaternions, SU(1,1) | 1 Comment

Attitude matrix and quaternion path for m>1

Posted on 2017/03/22 by arkajad

I noticed that somehow I did not finish with the case So today, without further ado, I am posting the algorithm. We have the body with and we are considering the case with , where is, as always, the ratio … Continue reading →

Posted in Attitude matrix, Elliptic functions, Moments of inertia, Quaternions, Stereographic projection | 20 Comments

Without goals everything is a propos of nothing

Posted on 2017/03/20 by arkajad

We are still traveling in the land of 4D butterflies made of remarkable circles such as those introduced in the note Meeting with remarkable circles three days ago. We did not travel too far during these three days, but we … Continue reading →

Posted in Attitude matrix, Dzhanibekov effect, Euler's equations, Quaternions, Stereographic projection | Leave a comment