Three-dimensional logic game comprising a solid body (1) that has an axis of symmetry (A), on the surface of which body there are arranged rails (3) that are parallel to said axis, tiles (2) being slidably mounted on said rails, and said solid body being made up of a plurality of segments (1a-1e) that can revolve about said axis so as to allow the positions of the corresponding rail segments to be switched around. A logic game such as this is characterized in that at least one segment (30) of one rail is created on one face of a rotary piece (15), a rotation of which allows the rail segment (30) to be removed from the surface of the solid body by bringing it into a retracted position with the tiles associated with it, and allows an identical rail segment (30') previously located in said retracted position to be brought onto said surface. Thus, an empty space (25) is formed on the rail to allow the corresponding tiles to be moved.