With pleasure I watched the two videos you linked. The professionalism of the presentation is unprecedented in my experience.
I was unable to view the additional interactive video which was touted so highly there. Apparently my computer is ill-equipped for that technology. On the other hand, in addition I found the following video by the same author to be more basic and helped my a lot until the very end where the author tried to explain the geometric connection between x->e^x . That blew me away. But what was very helpful was seeing how complex numbers can be seen as combining a translation in the real dimension and a rotation in the imaginary dimension. https://www.youtube.com/watch?v=mvmuCPvRoWQ Well, to be honest, I got very lost in the longer one, and was hoping that others would reply to your chat and give me some perspective on just how valuable and reachable these videos are. But no one seems to have directly commented on these videos and the comments in Raul's thread seem to choose other interpretations (such as time and 3 distances, I think), I am not any clearer on the usefulness of quarternions, especially for rotating 3d spaces, which I have enjoyed exploring myself using J and 4x4 shaped matrices. But even that exploration has been hampered for a few years now because I have not been able to use opengl or other graphics systems with . So this has been a rather frustrating period of time relative to graphics endeavors anyhow. On Sat, Oct 27, 2018 at 3:00 AM 'robert therriault' via Chat < [email protected]> wrote: > There is a channel on youtube called 3blue1brown where Grant Sanderson > does exceptional math videos. I have heard interest in quaternions > expressed in the J community so I will put in some links that provide > visual explanations of quaternions and how to visualize their actions > across 4 dimensions. > > Initial video introducing quaternions: > https://www.youtube.com/watch?v=d4EgbgTm0Bg > > Short video introducing an interactive tool to investigate quaternion > behaviour: https://www.youtube.com/watch?v=zjMuIxRvygQ > > Site containing the interactive videos https://eater.net/quaternions > (yes these videos are interactive and can be manipulated in real time!) > > Enjoy > > Cheers, bob > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm -- (B=) <-----my sig Brian Schott ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
