me trying to visualise a hypersphere rotating so i just imagine a sphere and say four loudly (actually 3b1bs video about quaternions is pretty good for developing intuition for rotating hyperspheres)
Omg I love that video!! I don’t really remember anything specifically though, I just remember thinking that quaternions were literally just 4-variable vector spaces… I was imagining something diffirent
I learnt to interpret 4d spaces from simulations of 4d objects moving in 3d space but it’s still kinda confusing.
yeah its kinda wonky, i do the same thing a lot of my intuition comes from imagining how a 2d creature sees a 3d object intersecting with the world and trying to apply that visualisation for 4d objects in 3d space but its hard to get the full picture like that
me trying to visualise a hypersphere rotating so i just imagine a sphere and say four loudly (actually 3b1bs video about quaternions is pretty good for developing intuition for rotating hyperspheres)
Omg I love that video!! I don’t really remember anything specifically though, I just remember thinking that quaternions were literally just 4-variable vector spaces… I was imagining something diffirent
I learnt to interpret 4d spaces from simulations of 4d objects moving in 3d space but it’s still kinda confusing.
yeah its kinda wonky, i do the same thing a lot of my intuition comes from imagining how a 2d creature sees a 3d object intersecting with the world and trying to apply that visualisation for 4d objects in 3d space but its hard to get the full picture like that
Ohhh waitt thats one of my interpretations too!!