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Re:4D toys by Udik on Saturday August 04, 2018 @06:18AM (#17686235)
Of course you can, and it would be different from the cross-sections seen in this video. I doubt it would ever become intuitive though, I suspect our brains are hard-wired for a 3d world.

Here's a video of a rotating 4d hypercube in a 3d perspective:

https://www.youtube.com/watch?v=t-WyreE9ZkI

It's called a tesseract, and as each face of a 3d cube is a 2d cube (a square), each face of a 4d cube is a normal 3d cube, that we see skewed by the perspective.

Re:4D toys by anotheryou on Saturday August 04, 2018 @07:00AM (#17686339)
I'd say our brain is anything but hardwired. Sense-substitution works beautifully too and even a tool like a hammer or a mouse becomes one with your body through frequent use.

Your linked video maps the 4th dimension to time, it doesn't project to 3D. Projecting through time (especially non-interactively) lacks the immediate feedback needed for the brain to grasp it as intuition.

Re:4D toys by Udik on Saturday August 04, 2018 @07:27AM (#17686398)
> Your linked video maps the 4th dimension to time, it doesn't project to 3D

No, it projects it to 3d. The movements you see are rotations, not movements of an intersection plane. You can clearly see at any point in time each of the 8 identical cubes making up the tesseract, skewed and resized by projection to a 3d perspective.