From the back of the box:
"Taking Strategy to the Next Power"

Cube Squared is an exciting two player strategy game. The object of the game is to be the first player to get a complete set of cubes and cylinders, in each of the six colors, off the board and onto their twelve "Home Spots".

This is a classic 2-Player, Abstract Strategy Game where each player is trying to be the first to get a complete set of rainbow colored cubes and cylinders past the square marked with a "star" and off onto their side of the board.

Each game is new and exciting because every game starts with an empty board and players take turns placing one piece at a time anywhere they want on the board except for the two "Home Squares" that have a "star" on them near each end of the board. It doesn't matter if they place a cube or a cylinder or even which color it is because no one player "owns" any piece until it is safely off of the board and onto one of their "home spots" on their side of the board.

Movement rules are pretty short and simple with the key fact being that if there are two pieces of a particular color and shape on the board, those pieces can move either once or twice and once they are
down to one piece, they can only move once. The other main rule is that you MUST get your cube of a color off the board before you get the matching cylinder off the board.

The ability to jump other pieces and move either type of piece, the fact that no one "owns" pieces until they remove them from the board makes for a depth of strategy seen in very few games.

When you add the fact that there is no set starting position for the playing pieces, you will soon see that this game is almost "Bottomless" which gives it the ability to be studied and played for years, if not decades before anyone will ever figure out if there is an optimal setup