I have some 5D data which I need to visually explore. Currently, I am plotting a 3D grid of 2D graphs for various values. Basically, I have N images each containing an NxN matrix of graphs... kind of like a scatter matrix. The $x$ and $y$ axes plot D$_0$, D$_1$, I read right through the matrix to move in D$_2$, down to move in D$_3$, and flip to the next image to move in D$_4$.
Right now, I'm just using Eye of Gnome to view these images and flip through the images. I'm sure it's great for viewing vacation pics, but it doesn't provide a very good "flow" for exploring my space. E.g. if I want to zoom in on a particular level set in D$_2$, D$_3$ (a few neighboring plots in the matrix grid), then flipping through the images in D$_4$ doesn't maintain the correct view.
I'm not tied to this grid-of-images technique... it's just what I'm doing right now, and illustrates my process. Here's a gif illustrating what I'm doing (resized to fit filesize requirements):
Are there any good tools/techniques for exploring level sets in high D spaces? Bonus points for ability to zoom to arbitrary resolutions in real time.
