My head is spinning around the 4-dimensional cube, aka the Tesseract, of A Wrinkle in Time fame. The tesseract is in fact a mathematical construct, a cube into 4-dimensional space.

“The tesseract is composed of 8 cubes with 3 to an edge, and therefore has 16 vertices, 32 edges, 24 squares, and 8 cubes.” – Eric W. Weisstein. “Tesseract.” From MathWorld–A Wolfram Web Resource. http://mathworld.wolfram.com/Tesseract.html

That’s interesting, though I don’t quite see the similarity of the 2d and 3d versions of the object on the site. I will need to think about this more.