This is not quite what you want, but there are quite a few 4D puzzles. iirc, Scott Kim, who did many of the illustrations for Douglas Hofstadter, wrote a paper

This is not quite what you want, but there are quite a few 4D puzzles. iirc, Scott Kim, who did many of the illustrations for Douglas Hofstadter, wrote a paper presenting an optical illusion only perceivable in 4 spatial dimensions ("The Impossible Skew Quadrilateral: A Four-Dimensional Optical Illusion"). http://www.superliminal.com/cube/cube.htm http://www.superliminal.com/cube/cube.htm http://en.wikipedia.org/wiki/N-dimensional_sequential_move_puzzles http://en.wikipedia.org/wiki/N-dimensional_sequential_move_p... There is a 4D variant of tetris, such as http://illusions.hu/4dtris/ http://illusions.hu/4dtris/