Quadratum

Abstract

In this work, we present a three dimensional mathematical game, the Quadratum. In each move a player places a cube on the board, in contact with the existing cubes on the board, with at least two of its faces in correspondence (except the first move), and a maximum of five faces in contact. The game ends when one of the players cannot place a cube on the board, the winner being the last player to play. Since it is a game in three dimensions, it admits several levels, but in this first version the cubes are all placed over the board. We also present some connections between the Quadratum and the math programs in Portugal.