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I've seen many a 4-D 'tesseract' projected onto a 2-D planar surface, even rotating ones projected onto 2D, but I still cannot visualize the 4th spatial dimension (which i guess is technically the 5th dimension, since time is the 4th).
So now I am wondering, since I would think for sure that someone has projected that 4-D hypercube onto a 3-D surface, like onto a 3-D TV screen, what does it look like when projected onto 3-D, does it help to visualize the 5th dimension, whether such dimension is physically curled up ultra small or mathematically infinite in extent? I have a 3-D TV now, and maybe some channel like Discovery Channel can show me it, or has anyone seen such a projection? I mean like you know when you project a 3-D cube onto a 2-D surface, you can quite clearly see the cube isometrically and visualize 3-D on a 2-D surface, so would the same visuaization of 4-D projection onto 3-D be just as clear, unlocking the secret of the 'hidden' dimension, or is this just wishful thinking?? In any case, I think it would be much better than the 4-D projection onto 2-D.
So now I am wondering, since I would think for sure that someone has projected that 4-D hypercube onto a 3-D surface, like onto a 3-D TV screen, what does it look like when projected onto 3-D, does it help to visualize the 5th dimension, whether such dimension is physically curled up ultra small or mathematically infinite in extent? I have a 3-D TV now, and maybe some channel like Discovery Channel can show me it, or has anyone seen such a projection? I mean like you know when you project a 3-D cube onto a 2-D surface, you can quite clearly see the cube isometrically and visualize 3-D on a 2-D surface, so would the same visuaization of 4-D projection onto 3-D be just as clear, unlocking the secret of the 'hidden' dimension, or is this just wishful thinking?? In any case, I think it would be much better than the 4-D projection onto 2-D.