A die or dice is provided having an outer surface with four faces. The faces are arranged contiguously so as to form a single generally spherical body. Each face has at least in part the shape of a segment of a sphere and carries identifying indicia. The center of each face is located on the angular points of a symmetrical tetrahedron. Any three of the four faces, which faces are situated mutually in pairs adjacent one another, touch one another at a trihedral point. The trihedral point is situated diametrically with regard to the fourth face. The die is provided on its outer surface with four support positions. Each support position has as a center the trihedral point.