Abstract: A game apparatus includes three designated construction sites and a discard site for each of one or more players, and a set of a plurality of playing pieces for each player. Each piece of a set of pieces is of similar geometric shape in one plane but each is of different perimetral size in that plane so that, beginning with the piece of largest perimetral size, all of the pieces of a set may be stacked, one on top of the other, to form a shape of constantly diminishing cross section such as a pyramid. The similarly sized pieces of each set are interchangeable. The apparatus also includes means, such as a playing board with designated draw locations or a box, for holding all playing pieces so that they may be drawn individually to be placed into play.