Vignette

Would any cool phenomena happen if you try to project these on to the three planes?

I believe an intersection with any plane would give you Julia sets over the complex numbers. Projection on the other hand could be cool but would probably be pretty noisy. Quaternions are already 4D so I’m kind of curious - is this animation a projection or a cross section?

beautiful animation! what did you use to create it?

This is gorgeous! Can you some mathematical details?

Thank you! Assuming you know the regular Julia set, this is the same process but with quaternions instead of complex numbers! (i.e. start with a quaternion, square it (using quaternion multiplication!) and add some chosen quaternion to it. Repeat until you get glitches.