The Natural Earth projection is a pseudocylindrical projection with moderate distortion. It has distinguishing rounded corners, where the pole lines and bounding meridians meet. It was designed in Flex Projector by Tom Patterson in 2007. The Natural Earth II projection is another pseudocylindrical projection with compromise distortion designed by Tom Patterson in Flex Projector. It has a highly rounded shape, which resembles an elongated globe. The Patterson projection, a new projection designed for general-purpose mapmaking, is an alternative to other cylindrical projections. It falls between the popular Miller 1 cylindrical, which exaggerates the size of polar areas, and the Plate Carrée, which compresses the mid latitudes. It was designed by Tom Patterson in Flex Projector. Adaptive composite map projections combine several projections, they adapt the map’s geometry to scale, to the map’s height-to-width ratio, and to the central latitude of the displayed area. The multiple projections are combined, and their parameters are adjusted to create seamless transitions. It was introduced by Bernhard Jenny and his team. The compromise aspect-adaptive cylindrical map projection adjusts the distribution of parallels to the height-to-width ratio of a map. The polynomial expressions define the projection for any height-to-width ratio between 0.3 and 1. The Compact Miller projection (on the right) is a special case of the aspect-adaptive cylindrical projection with the height-to-width ratio of 0.6. In 1989, Herbert Hufnagel introduced a family of pseudocylindrical equal-area projections, which includes the Mollweide, Eckert IV and Wagner IV projections, as well as eight new projections introduced by Hufnagel himself. Source.