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I am confuded what is 4d about this 3d visualization? What is the camera capturing?
Hmm, I wonder if also having a normal 3d camera that projects to 1d view (i.e. a line) would be a useful teaching aid for this... or if it would just be equally confusing in different ways.
Very cool! I made a similar thing[1], but I didn't put as much attention on the controls or the camera concept. I had hoped to gain some intuitive understanding of 4D space, but in the end I did not succeed.

How did you do collision detection and physics here?

1. https://beaumayns.github.io/box4d/