A game in the fourth dimension

Shamelesly stolen from http://kbs.cs.tu-berlin.de/~jutta. Thanks a lot.
2 players
1 hypercube (16 corners in 4 dimensions)
8 tokens, 4 in each color

Each player picks a color and finds 4 coins, stones, or pieces of paper of that color. 

The game starts with tokens of alternating colors at the (graphically) "outer" corners of the hypercube.

Then, players take turns moving one of their tokens along the edges of the cube to unoccupied other corners.
The objective of the game is to move the tokens of your color into a connected group; the first player to form a chain or star wins.