Stereoscopic Hypercube animation.

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Caution: make sure you can relax yourself into a cross eyed stereoscopic perspective before viewing, or you can REALLY give yourself a monster headache.

Nonetheless it's so beautiful to watch it makes me dizzy.

[youtube]http://www.youtube.com/watch?v=iXYXuHVTS_k[/youtube]

It is beautiful, but I am firmly stuck at 3 dimensions even with such demonstrations. "Then he proceeded to initiate me into mysteries yet higher than those I had witnessed, shewing me how to construct Extra-Solids by the motion of Solids, and Double Extra-Solids by the motion of Extra-Solids, and all "strictly according to Analogy", all by methods so simple, so easy, as to be patent even to the Female Sex." (Flatland: a romance of many dimensions by Edwin Abbott Abbott http://www.gutenberg.org/etext/201)

http://en.wikipedia.org/wiki/Flatterland

(and thanks, StuartN, for the Project Gutenberg link!)

What that thingy is, is a tesseract, a two dimensional projection of a four dimensional cube. The stereo gives a three dimensional impression of a three dimensional object. One cannot really see a four dimensional object.

ruveyn

Last edited by ruveyn on 11 Mar 2010, 12:19 pm, edited 1 time in total.

Do not try this before going on step ladders.


It repeats like a visual mind jingle, and causes slight dizzyness


But very very ,interesting. Thank you.

Stuart will try that google stuff later- am waiting for b.ceiling to dry out for second coat.

Doesn't work for me. I can only visualize higher dimensions purely in my mind's eye- 2D representations can only give me the "folding" instructions for how to construct it in my head.

Not in the sense of seeing with your actual physical eyes, but it is perfectly possible to visualize objects in four and higher dimensions.

Seeing is one thing, comprehending is another. Fiddling n-spaces is quite straightforward. All one really needs is the concept of a n element ordered set.

ruveyn

Technically it's a 3 dimensional shadow of a 4 dimensional object.

I always have trouble fusing 2 images using only my 2 eyes, to perceive a 3D image on a screen (or a 3D shadow of a 4 (or higher ) D object )

Yeah. A tesseract is a three dimension physical thing which is the projection of a four cube onto a three space. I have made tesseracts out of tooth picks. The fused image of two projections of a tesseract is not quite a tesseract because the fused image is an illusion rather than a three dimensional object.

The animation does make it easier to see the meaning of the in/out dimension.

If you look at the cube on the inside, it's "faces" are the same size as the "outside" faces of the large outer cube, and they rotate through the interior one as you spin it through the in/out dimension.