re: Stereo dekany

>>Which ones are closest? Only the closest three? Is their volume
>>determined by their distance?
>
>If they are behind the screen they don't sound at all. Otherwise
>volume is proportional to distance in front of the screen, and of
>course pan is left/right position. You often get tetrads and
>occasionally get to hear a complete hexany.

Groovy! I'll need to bust out headphones and listen for the pan!

>The 3D image eventually passes thru every possible 3D projection of
>the 4D object (and of course each eye's image eventually passes thru
>every possible 2D projection of the 4D object). This is unlike Paul
>Erlich or Robert Walkers models, which choose a single 3D projection
>and rotate that.

Understood.

>There are 6 planes of rotation in 4D. There is no point in rotating in
>the viewing plane, but the other 5 rotations are "geared together" in
>a chain, with a reduction ratio of phi (or rather the best IEEE
>floating point approximation of it) at each stage. So it "never
>repeats" and takes as long as possible to "almost repeat".

As you did with your earlier, 2-D projection (and as I suspected).

-Carl