Rudy Rucker has a great article over on Boing Boing about the fourth dimensional weirdness of hypercubes. Rucker is famous for his Ware Tetralogy, some of the best sf novels about robots, and far more realistic than Asimov's Robot novels or Saberhagen's Berserker series.
But the first thing I read by Rucker wasn't his sf, it was his non-fiction books, like Geometry, Relativity and the Fourth Dimension. Most of the math in the book was way over my head, but there was an equation for calculating the volume of a hypercube that caught my imagination. In full geek mode, I used it to calculate the volume of the TARDIS.
As Rucker points out, hypercubes are better known for their use in art, such as Salvador Dalí's remarkable Crucifixion (Corpus Hypercubus).