The Hammer projection is an equal-area map projection, described by Ernst Hammer in 1892. Directly inspired by the Aitoff projection, Hammer suggested the use of the equatorial form of the Lambert azimuthal equal-area projection instead of Aitoff's use of the azimuthal equidistant projection: Earth (IPA: , often referred to as the Earth, Terra, the World or Planet Earth) is the third planet in the solar system in terms of distance from the Sun, and the fifth largest. ... The Mercator projection shows courses of constant bearing as straight lines. ... 1892 (MDCCCXCII) was a leap year starting on Friday (see link for calendar). ... Map of the Earth using a Lambert azimuthal equal-area projection The Lambert azimuthal equal-area projection, or Lambert azimuthal projection, is an equal-area map projection. ... This projection shows all distances and directions correctly from a single point. ...
where and are the x and y components of the equatorial Lambert azimuthal equal-area projection. Substituting:
where is the longitude from the central meridian and is the latitude.[1]
Visually, the Aitoff and Hammer projections are very similar. The Hammer has seen more use because of it's equal-area property. The Mollweide projection is another equal-area projection of similar aspect, though with straight parallels of latitude, unlike the Hammer's curved parallels. Example of a Mollweide projection. ...
References
^Flattening the Earth: Two Thousand Years of Map Projections, John P. Snyder, 1993, pp.130-133, ISBN 0-226-76747-7.