This game seems to be essentially a 3D four in a row (Qubic), but represented on a simpler 4 X 4 board, on which the players have to complete one alignment of 4 rings of same color to win the game. Three kinds of alignments are possible : same size of rings, 4 different progressive sizes, or 4 concentric rings on the same square.

Interestingly enough with this set you can play either Qubic or Four Score. To play Qubic, you just place the 4 rings in any order in one of the 16 playing spaces. To play Four Score, you must play from smallest to largest ring in a particular playing space.