I have a dataset of $N$ points in 4-D space.
$ \left \{ \left( x_1^{(1)}, x_2^{(1)}, x_3^{(1)}, x_4^{(1)} \right), \left( x_1^{(2)}, x_2^{(2)}, x_3^{(2)}, x_4^{(2)} \right), ... \left( x_1^{(N)}, x_2^{(N)}, x_3^{(N)}, x_4^{(N)} \right) \right \}$
Want to generate 3-D scatter plots of the dataset, somehow smoothly transitioning 3-D $xyz$ projection axes from 123 to 124 to 134 to 234 and then back to 123
Is there a way to smoothly incrementally map and re-map 3-D projections like this to journey through all of 4-space?
Apologies is this question is not worded precisely enough. I am open to suggestions on how to clarify.
Is a method scalable to generic 3-D representation of data in higher dimensions?