(1) A conformal map projection of the whole sphere into an area bounded by an ellipse. The map projection was devised by O. Adams but contained some singularities. These were removed by a method devised by I. Lee in 1965. (2) A conformal map projection of the sphere into a square, with the poles on a diagonal of the square and symmetrical about the center. (3) An equal area map projection of the pseudo cylindrical type, projecting the sphere onto a cylinder in such a fashion that the parallels of latitude go into straight lines parallel to the x axis and spaced at the distance 2kR _a sin1/2B from the origin. k is a scale factor, R _a is the radius of the authalic sphere, B is the authalic latitude and x = (R _a (l - l _o ) cosB)/cos1/2B, in which l is the longitude and l_o is the longitude of the reference meridian. (4) A conformal projection of the sphere into a regular hexagon.