::MERCATOR, EAT YOUR HEART OUT::
Ever since reading Flatland
in ninth-grade geometry, I've always been into the idea of representing fourth-dimensional objects in three dimensions -- making a 3-D "shadow" of a 4-D shape. Well, Adrian Ocneanu at Penn State has done it. It's mirrored, it's a representation of an octacube, and it's beautiful
Still can't get your head around it? Here's a nifty Flash animation
of this projection of an octacube.