Quarto (MLV)

Fourth has a 4×4 board and 16 pieces. Each piece has four dichotomous attributes: color, height, shape, and consistency, so each piece is black or white, tall or short, square or round, hollow or solid. The goal is to place the fourth piece in a row where all four pieces have at least one attribute in common. The twist is that your opponent gets to choose the piece you place on the board each turn.