Re: OT hypercube (was: Con-other)
|Mark J. Reed <markjreed@...>
|Friday, May 30, 2008, 19:07
Tesseract's ain't necessarily solid, but the point is valid.
If you draw two concentric squares and connect the corners, that's a
perspective rendering of a transparent cube, where the big square is
the face closest to you and the small square is the opposite one, seen
through the close one. Both squares are meant to be the same size on
the cube, but the back one looks smaller in the drawing due to
Similarly, the typical tesseract drawing represents a transparent view
where the "outer" cube is the (hyper)face closest to you and the
"inner" cube is the one furthest away
In neither case does it matter if the object is solid or hollow. But
if it's not transparent then the drawing degenerates to a square.
Which isn't that exciting. :)